Basic College Mathematics With Early Integers
3rd Edition
ISBN: 9780133864717
Author: Martin-Gay, K. Elayn
Publisher: Pearson,
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Chapter 2.3, Problem 64E
To determine
The value of the expression
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Questions
An insurance company's cumulative incurred claims for the last 5 accident years are given
in the following table:
Development Year
Accident Year 0
2018
1 2 3 4
245 267 274 289 292
2019
255 276 288 294
2020
265 283 292
2021
263 278
2022
271
It can be assumed that claims are fully run off after 4 years. The premiums received for
each year are:
Accident Year Premium
2018
306
2019
312
2020
318
2021
326
2022
330
You do not need to make any allowance for inflation.
1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method.
(b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method.
2. Comment on the differences in the reserves produced by the methods in Part 1.
Chapter 2 Solutions
Basic College Mathematics With Early Integers
Ch. 2.1 - Prob. 1PCh. 2.1 - Prob. 2PCh. 2.1 - Prob. 3PCh. 2.1 - Prob. 4PCh. 2.1 - Prob. 5PCh. 2.1 - Prob. 6PCh. 2.1 - Prob. 1VRVCh. 2.1 - Prob. 2VRVCh. 2.1 - Use the choices below to fill in each blank. Some...Ch. 2.1 - Use the choices below to fill in each blank. Some...
Ch. 2.1 - Complete the table. The first row has been done...Ch. 2.1 - Prob. 2ECh. 2.1 - Prob. 3ECh. 2.1 - Prob. 4ECh. 2.1 - Prob. 5ECh. 2.1 - Prob. 6ECh. 2.1 - Prob. 7ECh. 2.1 - Prob. 8ECh. 2.1 - Prob. 9ECh. 2.1 - Prob. 10ECh. 2.1 - Evaluate each expression for x = 2, y = 5, and z =...Ch. 2.1 - Evaluate each expression for x = 2, y = 5, and z =...Ch. 2.1 - Evaluate each expression for x = 2, y = 5, and z =...Ch. 2.1 - Prob. 14ECh. 2.1 - Prob. 15ECh. 2.1 - Prob. 16ECh. 2.1 - Prob. 17ECh. 2.1 - Prob. 18ECh. 2.1 - Prob. 19ECh. 2.1 - Prob. 20ECh. 2.1 - Prob. 21ECh. 2.1 - Evaluate each expression for x = 2, y = 5, and z =...Ch. 2.1 - Evaluate each expression for x = 2, y = 5, and z =...Ch. 2.1 - Evaluate each expression for x = 2, y = 5, and z =...Ch. 2.1 - Evaluate each expression for x = 2, y = 5, and z =...Ch. 2.1 - Prob. 26ECh. 2.1 - Prob. 27ECh. 2.1 - Prob. 28ECh. 2.1 - Prob. 29ECh. 2.1 - Prob. 30ECh. 2.1 - Prob. 31ECh. 2.1 - Prob. 32ECh. 2.1 - Prob. 33ECh. 2.1 - Prob. 34ECh. 2.1 - Prob. 35ECh. 2.1 - Prob. 36ECh. 2.1 - Prob. 37ECh. 2.1 - Prob. 38ECh. 2.1 - Prob. 39ECh. 2.1 - Prob. 40ECh. 2.1 - Prob. 41ECh. 2.1 - Prob. 42ECh. 2.1 - Prob. 43ECh. 2.1 - Prob. 44ECh. 2.1 - Prob. 45ECh. 2.1 - Prob. 46ECh. 2.1 - Write each phrase as a variable expression. Use x...Ch. 2.1 - Prob. 48ECh. 2.1 - Prob. 49ECh. 2.1 - Prob. 50ECh. 2.1 - Prob. 51ECh. 2.1 - Prob. 52ECh. 2.1 - Prob. 53ECh. 2.1 - Prob. 54ECh. 2.1 - Prob. 55ECh. 2.1 - Prob. 56ECh. 2.1 - Prob. 57ECh. 2.1 - Write each phrase as a variable expression. Use x...Ch. 2.1 - Prob. 59ECh. 2.1 - Prob. 60ECh. 2.1 - Prob. 61ECh. 2.1 - Prob. 62ECh. 2.1 - Prob. 63ECh. 2.1 - Prob. 64ECh. 2.1 - Prob. 65ECh. 2.1 - Prob. 66ECh. 2.1 - Prob. 67ECh. 2.1 - Prob. 68ECh. 2.1 - Prob. 69ECh. 2.1 - Prob. 70ECh. 2.1 - Prob. 71ECh. 2.1 - Prob. 72ECh. 2.1 - Solve. See the Concept Check in this section....Ch. 2.1 - Solve. See the Concept Check in this section....Ch. 2.1 - Prob. 75ECh. 2.1 - Prob. 76ECh. 2.1 - Prob. 77ECh. 2.1 - Use a calculator to evaluate each expression for x...Ch. 2.1 - Prob. 79ECh. 2.1 - Prob. 80ECh. 2.1 - In Exercise 43, what do you notice about the value...Ch. 2.1 - Prob. 82ECh. 2.2 - Prob. 1PCh. 2.2 - Prob. 2PCh. 2.2 - Prob. 3PCh. 2.2 - Prob. 4PCh. 2.2 - Prob. 5PCh. 2.2 - Prob. 6PCh. 2.2 - Prob. 7PCh. 2.2 - Which planet has the highest average daytime...Ch. 2.2 - Use the choices below to fill in each blank. Not...Ch. 2.2 - Use the choices below to fill in each blank. Not...Ch. 2.2 - Prob. 3VRVCh. 2.2 - Prob. 4VRVCh. 2.2 - Prob. 5VRVCh. 2.2 - Prob. 6VRVCh. 2.2 - Prob. 7VRVCh. 2.2 - Use the choices below to fill in each blank. Not...Ch. 2.2 - Represent each quantity by an integer. See Example...Ch. 2.2 - Represent each quantity by an integer. See Example...Ch. 2.2 - Prob. 3ECh. 2.2 - Prob. 4ECh. 2.2 - Prob. 5ECh. 2.2 - Prob. 6ECh. 2.2 - Prob. 7ECh. 2.2 - Prob. 8ECh. 2.2 - Prob. 9ECh. 2.2 - Prob. 10ECh. 2.2 - Represent each quantity by an integer. See Example...Ch. 2.2 - Prob. 12ECh. 2.2 - Prob. 13ECh. 2.2 - Prob. 14ECh. 2.2 - Graph each integer in the list on the same number...Ch. 2.2 - Graph each integer in the list on the same number...Ch. 2.2 - Graph each integer in the list on the same number...Ch. 2.2 - Prob. 18ECh. 2.2 - Prob. 19ECh. 2.2 - Prob. 20ECh. 2.2 - Prob. 21ECh. 2.2 - Prob. 22ECh. 2.2 - Prob. 23ECh. 2.2 - Insert < or > between each pair of integers to...Ch. 2.2 - Insert < or > between each pair of integers to...Ch. 2.2 - Insert < or > between each pair of integers to...Ch. 2.2 - Prob. 27ECh. 2.2 - Prob. 28ECh. 2.2 - Prob. 29ECh. 2.2 - Prob. 30ECh. 2.2 - Prob. 31ECh. 2.2 - Prob. 32ECh. 2.2 - Prob. 33ECh. 2.2 - Prob. 34ECh. 2.2 - Simplify. See Example 4.
|0|
Ch. 2.2 - Simplify. See Example 4.
|100|
Ch. 2.2 - Simplify. See Example 4.
|−5|
Ch. 2.2 - Prob. 38ECh. 2.2 - Prob. 39ECh. 2.2 - Prob. 40ECh. 2.2 - Prob. 41ECh. 2.2 - Prob. 42ECh. 2.2 - Prob. 43ECh. 2.2 - Prob. 44ECh. 2.2 - Prob. 45ECh. 2.2 - Prob. 46ECh. 2.2 - Simplify.
|–7|
Ch. 2.2 - Simplify.
|–11|
Ch. 2.2 - Simplify.
–|20|
Ch. 2.2 - Simplify.
–|43|
Ch. 2.2 - Prob. 51ECh. 2.2 - Prob. 52ECh. 2.2 - Prob. 53ECh. 2.2 - Prob. 54ECh. 2.2 - Prob. 55ECh. 2.2 - Simplify.
–|–29|
Ch. 2.2 - Simplify. See Example 6.
−(−33)
Ch. 2.2 - Simplify.
–(–14)
Ch. 2.2 - Evaluate. See Example 7.
|−x| if x = −6
Ch. 2.2 - Prob. 60ECh. 2.2 - Prob. 61ECh. 2.2 - Prob. 62ECh. 2.2 - Prob. 63ECh. 2.2 - Prob. 64ECh. 2.2 - Evaluate. See Example 7.
−|x| if x = 7
Ch. 2.2 - Evaluate. See Example 7.
|−x| if x = 1
Ch. 2.2 - Insert <, >, or = between each pair of numbers to...Ch. 2.2 - Insert <, >, or = between each pair of numbers to...Ch. 2.2 - Prob. 69ECh. 2.2 - Prob. 70ECh. 2.2 - Prob. 71ECh. 2.2 - Prob. 72ECh. 2.2 - Prob. 73ECh. 2.2 - Prob. 74ECh. 2.2 - Insert <, >, or = between each pair of numbers to...Ch. 2.2 - Insert <, >, or = between each pair of numbers to...Ch. 2.2 - Insert <, >, or = between each pair of numbers to...Ch. 2.2 - Prob. 78ECh. 2.2 - Prob. 79ECh. 2.2 - Prob. 80ECh. 2.2 - Prob. 81ECh. 2.2 - Prob. 82ECh. 2.2 - Prob. 83ECh. 2.2 - Prob. 84ECh. 2.2 - Prob. 85ECh. 2.2 - Fill in the chart. See Example 4 through 7.
Ch. 2.2 - The bar graph shows the elevations of selected...Ch. 2.2 - The bar graph shows the elevations of selected...Ch. 2.2 - Prob. 89ECh. 2.2 - Prob. 90ECh. 2.2 - Prob. 91ECh. 2.2 - Prob. 92ECh. 2.2 - Prob. 93ECh. 2.2 - Prob. 94ECh. 2.2 - Prob. 95ECh. 2.2 - Prob. 96ECh. 2.2 - Prob. 97ECh. 2.2 - Prob. 98ECh. 2.2 - Add.
47 + 236 + 77
Ch. 2.2 - Add.
362 + 37 + 90
Ch. 2.2 - Write the given numbers in order from least to...Ch. 2.2 - Prob. 102ECh. 2.2 - Prob. 103ECh. 2.2 - Prob. 104ECh. 2.2 - Prob. 105ECh. 2.2 - Prob. 106ECh. 2.2 - Prob. 107ECh. 2.2 - Prob. 108ECh. 2.2 - Prob. 109ECh. 2.2 - Evaluate:
Ch. 2.2 - Answer true or false for Exercises 103 through...Ch. 2.2 - Answer true or false for Exercises 103 through...Ch. 2.2 - Prob. 113ECh. 2.2 - Prob. 114ECh. 2.2 - Prob. 115ECh. 2.2 - Prob. 116ECh. 2.2 - Prob. 117ECh. 2.2 - Prob. 118ECh. 2.2 - Prob. 119ECh. 2.2 - Prob. 120ECh. 2.3 - Prob. 1PCh. 2.3 - Prob. 2PCh. 2.3 - Prob. 3PCh. 2.3 - Prob. 4PCh. 2.3 - Prob. 5PCh. 2.3 - Prob. 6PCh. 2.3 - Prob. 7PCh. 2.3 - Prob. 8PCh. 2.3 - Prob. 9PCh. 2.3 - Prob. 10PCh. 2.3 - Prob. 11PCh. 2.3 - Prob. 12PCh. 2.3 - Prob. 13PCh. 2.3 - Prob. 14PCh. 2.3 - Prob. 15PCh. 2.3 - Prob. 16PCh. 2.3 - Prob. 17PCh. 2.3 - Prob. 18PCh. 2.3 - Prob. 1VRVCh. 2.3 - Prob. 2VRVCh. 2.3 - Prob. 3VRVCh. 2.3 - Prob. 4VRVCh. 2.3 - Prob. 5VRVCh. 2.3 - Prob. 6VRVCh. 2.3 - Prob. 7VRVCh. 2.3 - Prob. 8VRVCh. 2.3 - Prob. 9VRVCh. 2.3 - Prob. 10VRVCh. 2.3 - Prob. 11VRVCh. 2.3 - Prob. 12VRVCh. 2.3 - Prob. 1ECh. 2.3 - Prob. 2ECh. 2.3 - Prob. 3ECh. 2.3 - Prob. 4ECh. 2.3 - Prob. 5ECh. 2.3 - Prob. 6ECh. 2.3 - Prob. 7ECh. 2.3 - Prob. 8ECh. 2.3 - Prob. 9ECh. 2.3 - Prob. 10ECh. 2.3 - Prob. 11ECh. 2.3 - Prob. 12ECh. 2.3 - Prob. 13ECh. 2.3 - Prob. 14ECh. 2.3 - Prob. 15ECh. 2.3 - Prob. 16ECh. 2.3 - Prob. 17ECh. 2.3 - Prob. 18ECh. 2.3 - Prob. 19ECh. 2.3 - Prob. 20ECh. 2.3 - Prob. 21ECh. 2.3 - Add. See Examples 4 through 13.
−23 + (−23)
Ch. 2.3 - Add. See Examples 4 through 13.
−25 + (−32)
Ch. 2.3 - Prob. 24ECh. 2.3 - Prob. 25ECh. 2.3 - Prob. 26ECh. 2.3 - Prob. 27ECh. 2.3 - Add. See Examples 4 through 13.
− 10 + 10
Ch. 2.3 - Add. See Examples 4 through 13.
12 + (−5)
Ch. 2.3 - Add. See Examples 4 through 13.
24 + (−10)
Ch. 2.3 - Prob. 31ECh. 2.3 - Prob. 32ECh. 2.3 - Prob. 33ECh. 2.3 - Prob. 34ECh. 2.3 - Prob. 35ECh. 2.3 - Prob. 36ECh. 2.3 - Prob. 37ECh. 2.3 - Prob. 38ECh. 2.3 - Add. See Examples 3 through 15.
−42 + 93
Ch. 2.3 - Add. See Examples 3 through 15.
−64 + 164
Ch. 2.3 - Add. See Examples 4 through 13.
34 + (−67)
Ch. 2.3 - Prob. 42ECh. 2.3 - Prob. 43ECh. 2.3 - Prob. 44ECh. 2.3 - Prob. 45ECh. 2.3 - Prob. 46ECh. 2.3 - Prob. 47ECh. 2.3 - Prob. 48ECh. 2.3 - Prob. 49ECh. 2.3 - Add. See Examples 14 and 15.
−103 + (−32) + (−27)
Ch. 2.3 - Add. See Examples 16 and 17.
12 + (−4) + (−4) +...Ch. 2.3 - Add. See Examples 16 and 17.
18 + (−9) + 5 + (−2)
Ch. 2.3 - Prob. 53ECh. 2.3 - Prob. 54ECh. 2.3 - Prob. 55ECh. 2.3 - Prob. 56ECh. 2.3 - Prob. 57ECh. 2.3 - Prob. 58ECh. 2.3 - Add. See Examples 1 through 15.
5 + (−1) + 17
Ch. 2.3 - Prob. 60ECh. 2.3 - Prob. 61ECh. 2.3 - Add See Examples 4 through 13.
−100 + 70
Ch. 2.3 - Add. See Examples 1 through 15.
13 + 14 + (−18)
Ch. 2.3 - Add See Examples 1 through 15.
(−45) + 22 + 20
Ch. 2.3 - Prob. 65ECh. 2.3 - Prob. 66ECh. 2.3 - Prob. 67ECh. 2.3 - Prob. 68ECh. 2.3 - Prob. 69ECh. 2.3 - Prob. 70ECh. 2.3 - Prob. 71ECh. 2.3 - Prob. 72ECh. 2.3 - Evaluate 3x + y for the given replacement values....Ch. 2.3 - Evaluate 3x + y for the given replacement values....Ch. 2.3 - Evaluate 3x + y for the given replacement values....Ch. 2.3 - Prob. 76ECh. 2.3 - Prob. 77ECh. 2.3 - Prob. 78ECh. 2.3 - Prob. 79ECh. 2.3 - Prob. 80ECh. 2.3 - Prob. 81ECh. 2.3 - Prob. 82ECh. 2.3 - Prob. 83ECh. 2.3 - Prob. 84ECh. 2.3 - Prob. 85ECh. 2.3 - Prob. 86ECh. 2.3 - Prob. 87ECh. 2.3 - Prob. 88ECh. 2.3 - Prob. 89ECh. 2.3 - Prob. 90ECh. 2.3 - Prob. 91ECh. 2.3 - Prob. 92ECh. 2.3 - Prob. 93ECh. 2.3 - Prob. 94ECh. 2.3 - The deepest spot in the Pacific Ocean is the...Ch. 2.3 - The deepest spot in the Atlantic Ocean is the...Ch. 2.3 - Subtract. See Sections 1.4 and 4.3.
44 − 0
Ch. 2.3 - Prob. 98ECh. 2.3 - Prob. 99ECh. 2.3 - Prob. 100ECh. 2.3 - Prob. 101ECh. 2.3 - Prob. 102ECh. 2.3 - Prob. 103ECh. 2.3 - Prob. 104ECh. 2.3 - Prob. 105ECh. 2.3 - Each calculation below is incorrect. Find the...Ch. 2.3 - For Exercises 97 through 100, determine whether...Ch. 2.3 - For Exercises 97 through 100, determine whether...Ch. 2.3 - Prob. 109ECh. 2.3 - Prob. 110ECh. 2.3 - Prob. 111ECh. 2.3 - Prob. 112ECh. 2.4 - Prob. 1PCh. 2.4 - Prob. 2PCh. 2.4 - Prob. 3PCh. 2.4 - Prob. 4PCh. 2.4 - Prob. 5PCh. 2.4 - Practice 5–9
Subtract.
5. –12 – 4
Ch. 2.4 - Practice 5–9
Subtract.
7. –2 – (–7)
Ch. 2.4 - Practice 10
Subtract 5 from –10.
Ch. 2.4 - Prob. 9PCh. 2.4 - Prob. 10PCh. 2.4 - Prob. 11PCh. 2.4 - Prob. 12PCh. 2.4 - Prob. 13PCh. 2.4 - Multiple choice: Select the correct lettered...Ch. 2.4 - Multiple choice: Select the correct lettered...Ch. 2.4 - Multiple choice: Select the correct lettered...Ch. 2.4 - Prob. 4VRVCh. 2.4 - Prob. 5VRVCh. 2.4 - Prob. 6VRVCh. 2.4 - Prob. 7VRVCh. 2.4 - Prob. 8VRVCh. 2.4 - Subtract. –5 – (–5)
Ch. 2.4 - Subtract. –6 – (–6)
Ch. 2.4 - Prob. 3ECh. 2.4 - Prob. 4ECh. 2.4 - Prob. 5ECh. 2.4 - Prob. 6ECh. 2.4 - Subtract. 7 – (–7)
Ch. 2.4 - Subtract. 12 – (–12)
Ch. 2.4 - Prob. 9ECh. 2.4 - Prob. 10ECh. 2.4 - Prob. 11ECh. 2.4 - Prob. 12ECh. 2.4 - Prob. 13ECh. 2.4 - Prob. 14ECh. 2.4 - Prob. 15ECh. 2.4 - Prob. 16ECh. 2.4 - Prob. 17ECh. 2.4 - Subtract See Examples 1 through 7.
844 − (−20)
Ch. 2.4 - Subtract See Examples 1 through 7.
−4 − 10
Ch. 2.4 - Subtract See Examples 1 through 7.
−5 − 8
Ch. 2.4 - Prob. 21ECh. 2.4 - Prob. 22ECh. 2.4 - Prob. 23ECh. 2.4 - Prob. 24ECh. 2.4 - Translate each phrase; then simplify.
Subtract 17...Ch. 2.4 - Prob. 26ECh. 2.4 - Prob. 27ECh. 2.4 - Translate each phrase, then simplify.
Find the...Ch. 2.4 - Translate each phrase, then simplify.
Subtract –11...Ch. 2.4 - Translate each phrase, then simplify.
Subtract –50...Ch. 2.4 - Add or subtract as indicated.
−21 + (−17)
Ch. 2.4 - Prob. 32ECh. 2.4 - Prob. 33ECh. 2.4 - Prob. 34ECh. 2.4 - Prob. 35ECh. 2.4 - Prob. 36ECh. 2.4 - Prob. 37ECh. 2.4 - Prob. 38ECh. 2.4 - Prob. 39ECh. 2.4 - Prob. 40ECh. 2.4 - Prob. 41ECh. 2.4 - Prob. 42ECh. 2.4 - Prob. 43ECh. 2.4 - Prob. 44ECh. 2.4 - Prob. 45ECh. 2.4 - Prob. 46ECh. 2.4 - Prob. 47ECh. 2.4 - Prob. 48ECh. 2.4 - Prob. 49ECh. 2.4 - Prob. 50ECh. 2.4 - Prob. 51ECh. 2.4 - Prob. 52ECh. 2.4 - Prob. 53ECh. 2.4 - Prob. 54ECh. 2.4 - Prob. 55ECh. 2.4 - Prob. 56ECh. 2.4 - Prob. 57ECh. 2.4 - Prob. 58ECh. 2.4 - Prob. 59ECh. 2.4 - Prob. 60ECh. 2.4 - Prob. 61ECh. 2.4 - Prob. 62ECh. 2.4 - Prob. 63ECh. 2.4 - Prob. 64ECh. 2.4 - Prob. 65ECh. 2.4 - Prob. 66ECh. 2.4 - Prob. 67ECh. 2.4 - Prob. 68ECh. 2.4 - Prob. 69ECh. 2.4 - Prob. 70ECh. 2.4 - Prob. 71ECh. 2.4 - Prob. 72ECh. 2.4 - Prob. 73ECh. 2.4 - Prob. 74ECh. 2.4 - Prob. 75ECh. 2.4 - Prob. 76ECh. 2.4 - Prob. 77ECh. 2.4 - Prob. 78ECh. 2.4 - Prob. 79ECh. 2.4 - Prob. 80ECh. 2.4 - Prob. 81ECh. 2.4 - Prob. 82ECh. 2.4 - Prob. 83ECh. 2.4 - Prob. 84ECh. 2.4 - Prob. 85ECh. 2.4 - Prob. 86ECh. 2.4 - Prob. 87ECh. 2.4 - Prob. 88ECh. 2.4 - Prob. 89ECh. 2.4 - Multiply.
Ch. 2.4 - Solve.
Name two numbers whose difference is −3.
Ch. 2.4 - Prob. 92ECh. 2.4 - Prob. 93ECh. 2.4 - Prob. 94ECh. 2.4 - Prob. 95ECh. 2.4 - Prob. 96ECh. 2.4 - Prob. 97ECh. 2.4 - Prob. 98ECh. 2.4 - Prob. 99ECh. 2.4 - Simplify. (Hint: Find the absolute values...Ch. 2.4 - Simplify. (Hint: Find the absolute values...Ch. 2.4 - Simplify. (Hint: Find the absolute values...Ch. 2.4 - Prob. 103ECh. 2.4 - Prob. 104ECh. 2.4 - Prob. 105ECh. 2.4 - Prob. 106ECh. 2.5 - Prob. 1PCh. 2.5 - Prob. 2PCh. 2.5 - Prob. 3PCh. 2.5 - Multiply.
10 (−5)
Ch. 2.5 - Multiply.
8(−6) (−2)
Ch. 2.5 - Multiply.
(−9) (−2) (−1)
Ch. 2.5 - Multiply.
(−3) (−4) (−5) (−1)
Ch. 2.5 - Prob. 8PCh. 2.5 - Prob. 9PCh. 2.5 - Prob. 10PCh. 2.5 - Prob. 11PCh. 2.5 - Prob. 12PCh. 2.5 - Prob. 13PCh. 2.5 - Divide, if possible.
Ch. 2.5 - Evaluate xy for x = 5 and y = −8
Ch. 2.5 - Evaluate for x = −12 and y = −3
Ch. 2.5 - Prob. 17PCh. 2.5 - Prob. 1VRVCh. 2.5 - Prob. 2VRVCh. 2.5 - Prob. 3VRVCh. 2.5 - Prob. 4VRVCh. 2.5 - Prob. 5VRVCh. 2.5 - Prob. 6VRVCh. 2.5 - Use the choices below to fill in each blank....Ch. 2.5 - Multiply. See Examples 1 through 4.
−6(−2)
Ch. 2.5 - Prob. 2ECh. 2.5 - Multiply. See Examples 1 through 4.
−4(9)
Ch. 2.5 - Multiply. See Examples 1 through 4.
−7(−2)
Ch. 2.5 - Prob. 5ECh. 2.5 - Prob. 6ECh. 2.5 - Prob. 7ECh. 2.5 - Prob. 8ECh. 2.5 - Multiply. See Examples 5 through 7.
6(−2) (−4)
Ch. 2.5 - Multiply. See Examples 5 through 7.
−2(3) (−7)
Ch. 2.5 - Multiply. See Examples 5 through 7.
−1(−3) (−4)
Ch. 2.5 - Prob. 12ECh. 2.5 - Prob. 13ECh. 2.5 - Prob. 14ECh. 2.5 - Prob. 15ECh. 2.5 - Prob. 16ECh. 2.5 - Prob. 17ECh. 2.5 - Prob. 18ECh. 2.5 - Prob. 19ECh. 2.5 - Evaluate. See Examples 8 and 9.
−24
Ch. 2.5 - Evaluate. See Examples 8 and 9.
(−3)2
Ch. 2.5 - Evaluate. See Examples 8 and 9.
(−1)4
Ch. 2.5 - Prob. 23ECh. 2.5 - Prob. 24ECh. 2.5 - Prob. 25ECh. 2.5 - Prob. 26ECh. 2.5 - Prob. 27ECh. 2.5 - Prob. 28ECh. 2.5 - Prob. 29ECh. 2.5 - Prob. 30ECh. 2.5 - Find each quotient. See Examples 10 through 14.
Ch. 2.5 - Divide. See Examples 11 through 16.
Ch. 2.5 - Find each quotient. See Examples 10 through 14.
Ch. 2.5 - Prob. 34ECh. 2.5 - Prob. 35ECh. 2.5 - Prob. 36ECh. 2.5 - Prob. 37ECh. 2.5 - Prob. 38ECh. 2.5 - Prob. 39ECh. 2.5 - Prob. 40ECh. 2.5 - Prob. 41ECh. 2.5 - Mixed Practice Multiply or divide as indicated....Ch. 2.5 - Mixed Practice Multiply or divide as indicated....Ch. 2.5 - Mixed Practice Multiply or divide as indicated....Ch. 2.5 - Prob. 45ECh. 2.5 - Prob. 46ECh. 2.5 - Prob. 47ECh. 2.5 - Prob. 48ECh. 2.5 - Prob. 49ECh. 2.5 - Prob. 50ECh. 2.5 - Prob. 51ECh. 2.5 - Prob. 52ECh. 2.5 - Mixed Practice Multiply or divide as indicated....Ch. 2.5 - Mixed Practice Multiply or divide as indicated....Ch. 2.5 - Mixed Practice Multiply or divide as indicated....Ch. 2.5 - Prob. 56ECh. 2.5 - Prob. 57ECh. 2.5 - Prob. 58ECh. 2.5 - Prob. 59ECh. 2.5 - Prob. 60ECh. 2.5 - Mixed Practice Multiply or divide as indicated....Ch. 2.5 - Mixed Practice Multiply or divide as indicated....Ch. 2.5 - Mixed Practice Multiply or divide as indicated....Ch. 2.5 - Prob. 64ECh. 2.5 - Prob. 65ECh. 2.5 - Mixed Practice Multiply or divide as indicated....Ch. 2.5 - Prob. 67ECh. 2.5 - Mixed Practice Multiply or divide as indicated....Ch. 2.5 - Mixed Practice Multiply or divide as indicated....Ch. 2.5 - Mixed Practice Multiply or divide as indicated....Ch. 2.5 - Prob. 71ECh. 2.5 - Prob. 72ECh. 2.5 - Prob. 73ECh. 2.5 - Mixed Practice Multiply or divide as indicated....Ch. 2.5 - Mixed Practice Multiply or divide as indicated....Ch. 2.5 - Mixed Practice Multiply or divide as indicated....Ch. 2.5 - Prob. 77ECh. 2.5 - Prob. 78ECh. 2.5 - Prob. 79ECh. 2.5 - Prob. 80ECh. 2.5 - Prob. 81ECh. 2.5 - Prob. 82ECh. 2.5 - Prob. 83ECh. 2.5 - Evaluate ab for the given replacement values. See...Ch. 2.5 - Evaluate for the given replacement values. See...Ch. 2.5 - Evaluate for the given replacement values. See...Ch. 2.5 - Prob. 87ECh. 2.5 - Prob. 88ECh. 2.5 - Prob. 89ECh. 2.5 - Prob. 90ECh. 2.5 - Prob. 91ECh. 2.5 - Prob. 92ECh. 2.5 - Prob. 93ECh. 2.5 - Evaluate for the given replacement values. See...Ch. 2.5 - Prob. 95ECh. 2.5 - Prob. 96ECh. 2.5 - Prob. 97ECh. 2.5 - Prob. 98ECh. 2.5 - Prob. 99ECh. 2.5 - Prob. 100ECh. 2.5 - Prob. 101ECh. 2.5 - Prob. 102ECh. 2.5 - Prob. 103ECh. 2.5 - Prob. 104ECh. 2.5 - Prob. 105ECh. 2.5 - Prob. 106ECh. 2.5 - Prob. 107ECh. 2.5 - Prob. 108ECh. 2.5 - Prob. 109ECh. 2.5 - Prob. 110ECh. 2.5 - Prob. 111ECh. 2.5 - Prob. 112ECh. 2.5 - Prob. 113ECh. 2.5 - Prob. 114ECh. 2.5 - Prob. 115ECh. 2.5 - Prob. 116ECh. 2.5 - Prob. 117ECh. 2.5 - Prob. 118ECh. 2.5 - Prob. 119ECh. 2.5 - Prob. 120ECh. 2.5 - Prob. 121ECh. 2.5 - Prob. 122ECh. 2.5 - Prob. 123ECh. 2.5 - Prob. 124ECh. 2.5 - Prob. 125ECh. 2.5 - Prob. 126ECh. 2.5 - Prob. 127ECh. 2.5 - Prob. 128ECh. 2.5 - Prob. 129ECh. 2.5 - Prob. 130ECh. 2.5 - Prob. 131ECh. 2.5 - Prob. 132ECh. 2.5 - Prob. 133ECh. 2.5 - Prob. 134ECh. 2.5 - Prob. 135ECh. 2.5 - Prob. 136ECh. 2.5 - Prob. 137ECh. 2.5 - Prob. 138ECh. 2.6 - Prob. 1PCh. 2.6 - Prob. 2PCh. 2.6 - Prob. 3PCh. 2.6 - Prob. 4PCh. 2.6 - Prob. 5PCh. 2.6 - Prob. 6PCh. 2.6 - Prob. 7PCh. 2.6 - Prob. 8PCh. 2.6 - Prob. 9PCh. 2.6 - Prob. 10PCh. 2.6 - Prob. 11PCh. 2.6 - Prob. 12PCh. 2.6 - Prob. 13PCh. 2.6 - Prob. 14PCh. 2.6 - Prob. 15PCh. 2.6 - Prob. 1VRVCh. 2.6 - Prob. 2VRVCh. 2.6 - Prob. 3VRVCh. 2.6 - Prob. 4VRVCh. 2.6 - Prob. 5VRVCh. 2.6 - Prob. 6VRVCh. 2.6 - Prob. 7VRVCh. 2.6 - Prob. 8VRVCh. 2.6 - Prob. 9VRVCh. 2.6 - Prob. 10VRVCh. 2.6 - Prob. 11VRVCh. 2.6 - Prob. 12VRVCh. 2.6 - Prob. 13VRVCh. 2.6 - Prob. 14VRVCh. 2.6 - Prob. 1ECh. 2.6 - Prob. 2ECh. 2.6 - Simplify. See Examples 1 through 10.
−43
Ch. 2.6 - Simplify. See Examples 1 through 10.
(−2)4
Ch. 2.6 - Prob. 5ECh. 2.6 - Prob. 6ECh. 2.6 - Prob. 7ECh. 2.6 - Prob. 8ECh. 2.6 - Prob. 9ECh. 2.6 - Prob. 10ECh. 2.6 - Simplify. See Examples 1 through 10.
4 + 3(−6)
Ch. 2.6 - Simplify. See Examples 1 through 10.
−8 + 4(3)
Ch. 2.6 - Simplify. See Examples 1 through 10.
5(−9) + 2
Ch. 2.6 - Prob. 14ECh. 2.6 - Prob. 15ECh. 2.6 - Prob. 16ECh. 2.6 - Prob. 17ECh. 2.6 - Prob. 18ECh. 2.6 - Prob. 19ECh. 2.6 - Prob. 20ECh. 2.6 - Prob. 21ECh. 2.6 - Simplify. See Examples 1 through 8.
Ch. 2.6 - Simplify. See Examples 1 through 8.
5(−3) −...Ch. 2.6 - Simplify. See Examples 1 through 8.
7(−4) − (−6)
Ch. 2.6 - Simplify. See Examples 1 through 8.
−19 − 12(3)
Ch. 2.6 - Prob. 26ECh. 2.6 - Prob. 27ECh. 2.6 - Prob. 28ECh. 2.6 - Prob. 29ECh. 2.6 - Prob. 30ECh. 2.6 - Prob. 31ECh. 2.6 - Simplify. See Examples 1 through 10.
7·6 − 6·5 +...Ch. 2.6 - Simplify. See Examples 1 through 10.
4 − (−3)4
Ch. 2.6 - Simplify. See Examples 1 through 10.
20 − (−5)2
Ch. 2.6 - Prob. 35ECh. 2.6 - Prob. 36ECh. 2.6 - Prob. 37ECh. 2.6 - Prob. 38ECh. 2.6 - Prob. 39ECh. 2.6 - Simplify. See Examples 1 through 10.
82 − (5 −...Ch. 2.6 - Simplify. See Examples 1 through 10.
|3 − 12| ÷ 3
Ch. 2.6 - Simplify. See Examples 1 through 10.
|12 − 19| ÷...Ch. 2.6 - Prob. 43ECh. 2.6 - Prob. 44ECh. 2.6 - Prob. 45ECh. 2.6 - Prob. 46ECh. 2.6 - Prob. 47ECh. 2.6 - Simplify. See Examples 1 through 8.
|3 − 15| ·...Ch. 2.6 - Simplify. See Examples 1 through 8.
(−12 − 20) ÷...Ch. 2.6 - Prob. 50ECh. 2.6 - Prob. 51ECh. 2.6 - Prob. 52ECh. 2.6 - Prob. 53ECh. 2.6 - Simplify. See Examples 1 through 10.
(4 − 12) · (8...Ch. 2.6 - Simplify. See Examples 1 through 8.
2 − 7 · 6 −...Ch. 2.6 - Simplify. See Examples 1 through 8.
4 − 12 · 8...Ch. 2.6 - Simplify. See Examples 1 through 8.
(−36 ÷ 6) − (4...Ch. 2.6 - Prob. 58ECh. 2.6 - Prob. 59ECh. 2.6 - Prob. 60ECh. 2.6 - Prob. 61ECh. 2.6 - Prob. 62ECh. 2.6 - Prob. 63ECh. 2.6 - Prob. 64ECh. 2.6 - Simplify. See Examples 1 through 8.
2(8 − 10)2 −...Ch. 2.6 - Simplify. See Examples 1 through 8.
−3(4 − 8 )2 +...Ch. 2.6 - Prob. 67ECh. 2.6 - Prob. 68ECh. 2.6 - Prob. 69ECh. 2.6 - Prob. 70ECh. 2.6 - Prob. 71ECh. 2.6 - Prob. 72ECh. 2.6 - Prob. 73ECh. 2.6 - Prob. 74ECh. 2.6 - Prob. 75ECh. 2.6 - Evaluate each expression for x = −2, y = 4, and z...Ch. 2.6 - Evaluate each expression for x = −2, y = 4, and z...Ch. 2.6 - Evaluate each expression for x = −2, y = 4, and z...Ch. 2.6 - Prob. 79ECh. 2.6 - Prob. 80ECh. 2.6 - Prob. 81ECh. 2.6 - Prob. 82ECh. 2.6 - Prob. 83ECh. 2.6 - Prob. 84ECh. 2.6 - Prob. 85ECh. 2.6 - Prob. 86ECh. 2.6 - Evaluate each expression for x = −3 and z = −4....Ch. 2.6 - Evaluate each expression for x = −3 and z = −4....Ch. 2.6 - Evaluate each expression for x = −3 and z = −4....Ch. 2.6 - Prob. 90ECh. 2.6 - Prob. 91ECh. 2.6 - Prob. 92ECh. 2.6 - Prob. 93ECh. 2.6 - Prob. 94ECh. 2.6 - Prob. 95ECh. 2.6 - Prob. 96ECh. 2.6 - Prob. 97ECh. 2.6 - Prob. 98ECh. 2.6 - Prob. 99ECh. 2.6 - Prob. 100ECh. 2.6 - Perform each indicated operation.
45 · 90
Ch. 2.6 - Prob. 102ECh. 2.6 - Prob. 103ECh. 2.6 - Prob. 104ECh. 2.6 - Prob. 105ECh. 2.6 - Prob. 106ECh. 2.6 - Prob. 107ECh. 2.6 - Find the perimeter of each figure.
Ch. 2.6 - Insert parentheses where needed so that each...Ch. 2.6 - Insert parentheses where needed so that each...Ch. 2.6 - Insert parentheses where needed so that each...Ch. 2.6 - Prob. 112ECh. 2.6 - Prob. 113ECh. 2.6 - Prob. 114ECh. 2.6 - Prob. 115ECh. 2.6 - Prob. 116ECh. 2.6 - Evaluate.
(–12)4
Ch. 2.6 - Evaluate.
(–17)6
Ch. 2.6 - Evaluate.
x3 – y2 for x = 21 and y = −19
Ch. 2.6 - Evaluate.
3x2 + 2x – y for x = −18 and y = 2868
Ch. 2.6 - Prob. 121ECh. 2.6 - Prob. 122ECh. 2 - Prob. 1IRCh. 2 - Prob. 2IRCh. 2 - Prob. 3IRCh. 2 - Prob. 4IRCh. 2 - Insert < or > between each pair of numbers to make...Ch. 2 - Insert < or > between each pair of numbers to make...Ch. 2 - Insert < or > between each pair of numbers to make...Ch. 2 - Prob. 8IRCh. 2 - Prob. 9IRCh. 2 - Prob. 10IRCh. 2 - Prob. 11IRCh. 2 - Prob. 12IRCh. 2 - Prob. 13IRCh. 2 - Prob. 14IRCh. 2 - Prob. 15IRCh. 2 - Simplify.
0
Ch. 2 - Add or subtract as indicated.
−7 + 12
Ch. 2 - Simplify.
−9 + (−11)
Ch. 2 - Prob. 19IRCh. 2 - Prob. 20IRCh. 2 - Prob. 21IRCh. 2 - Prob. 22IRCh. 2 - Prob. 23IRCh. 2 - Prob. 24IRCh. 2 - Prob. 25IRCh. 2 - Prob. 26IRCh. 2 - Add or subtract as indicated.
Subtract 14 from...Ch. 2 - Prob. 28IRCh. 2 - Prob. 29IRCh. 2 - Prob. 30IRCh. 2 - Prob. 31IRCh. 2 - Prob. 32IRCh. 2 - Prob. 33IRCh. 2 - Prob. 34IRCh. 2 - Prob. 35IRCh. 2 - Prob. 36IRCh. 2 - Prob. 37IRCh. 2 - Prob. 1VCCh. 2 - Prob. 2VCCh. 2 - Prob. 3VCCh. 2 - Prob. 4VCCh. 2 - Prob. 5VCCh. 2 - Prob. 6VCCh. 2 - Prob. 7VCCh. 2 - Prob. 1RECh. 2 - Prob. 2RECh. 2 - Prob. 3RECh. 2 - Prob. 4RECh. 2 - Prob. 5RECh. 2 - Prob. 6RECh. 2 - Prob. 7RECh. 2 - Prob. 8RECh. 2 - Prob. 9RECh. 2 - Prob. 10RECh. 2 - Prob. 11RECh. 2 - Prob. 12RECh. 2 - Represent each quantity by an integer.
A gold...Ch. 2 - Represent each quantity by an integer.
Mount Hood,...Ch. 2 - Prob. 15RECh. 2 - Prob. 16RECh. 2 - Prob. 17RECh. 2 - Prob. 18RECh. 2 - Prob. 19RECh. 2 - Prob. 20RECh. 2 - Prob. 21RECh. 2 - Prob. 22RECh. 2 - Prob. 23RECh. 2 - Prob. 24RECh. 2 - Prob. 25RECh. 2 - Insert < or > between each pair of integers to...Ch. 2 - Prob. 27RECh. 2 - Prob. 28RECh. 2 - Prob. 29RECh. 2 - Prob. 30RECh. 2 - Prob. 31RECh. 2 - Prob. 32RECh. 2 - Prob. 33RECh. 2 - Add.
18 + (−4)
Ch. 2 - Add.
−12 + 16
Ch. 2 - Prob. 36RECh. 2 - Prob. 37RECh. 2 - Prob. 38RECh. 2 - Prob. 39RECh. 2 - Prob. 40RECh. 2 - Prob. 41RECh. 2 - Prob. 42RECh. 2 - Prob. 43RECh. 2 - Add.
−100 + (−506)
Ch. 2 - The temperature at 5 a.m. on a day in January was...Ch. 2 - A diver starts out at 127 feet below the surface...Ch. 2 - Prob. 47RECh. 2 - Prob. 48RECh. 2 - Prob. 49RECh. 2 - Prob. 50RECh. 2 - Prob. 51RECh. 2 - Prob. 52RECh. 2 - Prob. 53RECh. 2 - Prob. 54RECh. 2 - Subtract.
7 − (−13)
Ch. 2 - Subtract.
−6 − (−14)
Ch. 2 - Subtract.
16 − 16
Ch. 2 - Prob. 58RECh. 2 - Prob. 59RECh. 2 - Prob. 60RECh. 2 - Prob. 61RECh. 2 - Prob. 62RECh. 2 - Josh Weidner has $142 in his checking account. He...Ch. 2 - If the elevation of Lake Superior is 600 feet...Ch. 2 - For Exercises 65 and 66, use the map near the...Ch. 2 - Prob. 66RECh. 2 - Prob. 67RECh. 2 - Prob. 68RECh. 2 - Prob. 69RECh. 2 - Prob. 70RECh. 2 - Multiply.
−3 (−7)
Ch. 2 - Prob. 72RECh. 2 - Multiply.
−4(16)
Ch. 2 - Prob. 74RECh. 2 - Prob. 75RECh. 2 - Prob. 76RECh. 2 - Multiply.
12(−3)(0)
Ch. 2 - Multiply.
−1(6)(2) (−2)
Ch. 2 - Divide.
−15 ÷ 3
Ch. 2 - Prob. 80RECh. 2 - Prob. 81RECh. 2 - Prob. 82RECh. 2 - Prob. 83RECh. 2 - Prob. 84RECh. 2 - Prob. 85RECh. 2 - Divide.
Ch. 2 - A football team lost 5 yards on each of two...Ch. 2 - A race horse bettor lost $50 on each of four...Ch. 2 - Prob. 89RECh. 2 - Prob. 90RECh. 2 - Prob. 91RECh. 2 - Prob. 92RECh. 2 - Prob. 93RECh. 2 - Prob. 94RECh. 2 - Prob. 95RECh. 2 - Prob. 96RECh. 2 - Prob. 97RECh. 2 - Simplify.
−3 + 12 + (−7) − 10
Ch. 2 - Simplify.
−10 + 3 · (−2)
Ch. 2 - Prob. 100RECh. 2 - Prob. 101RECh. 2 - Prob. 102RECh. 2 - Prob. 103RECh. 2 - Prob. 104RECh. 2 - Simplify.
16 + (−3) · 12 ÷ 4
Ch. 2 - Prob. 106RECh. 2 - Prob. 107RECh. 2 - Prob. 108RECh. 2 - Simplify.
−(−4) · |−3| − 5
Ch. 2 - Prob. 110RECh. 2 - Simplify.
Ch. 2 - Prob. 112RECh. 2 - Prob. 113RECh. 2 - Find the average of each list of numbers.
−45,...Ch. 2 - Prob. 115RECh. 2 - Prob. 116RECh. 2 - Prob. 117RECh. 2 - Prob. 118RECh. 2 - Evaluate each expression for x = −2 and y = 1.
x2
Ch. 2 - Evaluate each expression for x = −2 and y =...Ch. 2 - Evaluate each expression for x = −2 and y = 1.
7 −...Ch. 2 - Prob. 122RECh. 2 - Prob. 123RECh. 2 - Prob. 124RECh. 2 - Prob. 125RECh. 2 - Prob. 126RECh. 2 - Prob. 127RECh. 2 - Prob. 128RECh. 2 - Prob. 129RECh. 2 - Perform the indicated operations.
−9 + 4
Ch. 2 - Elevator shafts in some buildings extend not only...Ch. 2 - Elevator shafts in some buildings extend not only...Ch. 2 - Prob. 133RECh. 2 - Prob. 134RECh. 2 - Prob. 135RECh. 2 - Prob. 136RECh. 2 - Prob. 137RECh. 2 - Prob. 138RECh. 2 - Prob. 139RECh. 2 - Prob. 140RECh. 2 - Simplify.
Ch. 2 - Simplify.
5(7 − 6)3 − 4(2 − 3)2 + 24
Ch. 2 - Prob. 1TCh. 2 - Prob. 2TCh. 2 - Prob. 3TCh. 2 - Prob. 4TCh. 2 - Simplify each expression.
(−18) + (−12)
Ch. 2 - Simplify each expression.
(−7) − (−19)
Ch. 2 - Simplify each expression.
(−5) · (−13)
Ch. 2 - Prob. 8TCh. 2 - Prob. 9TCh. 2 - Prob. 10TCh. 2 - Prob. 11TCh. 2 - Prob. 12TCh. 2 - Prob. 13TCh. 2 - Prob. 14TCh. 2 - Prob. 15TCh. 2 - Simplify each expression.
(5 – 9)2 · (8 – 2)3
Ch. 2 - Prob. 17TCh. 2 - Prob. 18TCh. 2 - Prob. 19TCh. 2 - Prob. 20TCh. 2 - Prob. 21TCh. 2 - Prob. 22TCh. 2 - Prob. 23TCh. 2 - Prob. 24TCh. 2 - Prob. 25TCh. 2 - Prob. 26TCh. 2 - Prob. 27TCh. 2 - Prob. 28TCh. 2 - Prob. 29TCh. 2 - Prob. 30TCh. 2 - Prob. 31TCh. 2 - Prob. 32TCh. 2 - Mt. Washington in New Hampshire has an elevation...Ch. 2 - Prob. 34TCh. 2 - Prob. 35TCh. 2 - Prob. 36TCh. 2 - Prob. 1CRCh. 2 - Prob. 2CRCh. 2 - Prob. 3CRCh. 2 - Prob. 4CRCh. 2 - Prob. 5CRCh. 2 - Prob. 6CRCh. 2 - Prob. 7CRCh. 2 - Prob. 8CRCh. 2 - Prob. 9CRCh. 2 - Prob. 10CRCh. 2 - Prob. 11CRCh. 2 - Prob. 12CRCh. 2 - Prob. 13CRCh. 2 - Prob. 14CRCh. 2 - Prob. 15CRCh. 2 - Prob. 16CRCh. 2 - Prob. 17CRCh. 2 - Prob. 18CRCh. 2 - Prob. 19CRCh. 2 - Prob. 20CRCh. 2 - Prob. 21CRCh. 2 - Prob. 22CRCh. 2 - Prob. 23CRCh. 2 - Find each quotient. Check by multiplying.
Ch. 2 - Divide:
Check by multiplying.
Ch. 2 - Prob. 26CRCh. 2 - Prob. 27CRCh. 2 - Prob. 28CRCh. 2 - Evaluate.
92
Ch. 2 - Evaluate.
53
Ch. 2 - Evaluate.
61
Ch. 2 - Prob. 32CRCh. 2 - Prob. 33CRCh. 2 - Prob. 34CRCh. 2 - Prob. 35CRCh. 2 - Prob. 36CRCh. 2 - Prob. 37CRCh. 2 - Evaluate 5 + x if x is 9.
Ch. 2 - Simplify:
|−2|
|8|
|0|
Ch. 2 - Simplify:
|4|
|−7|
Ch. 2 - Prob. 41CRCh. 2 - Prob. 42CRCh. 2 - Prob. 43CRCh. 2 - Prob. 44CRCh. 2 - Prob. 45CRCh. 2 - Prob. 46CRCh. 2 - Multiply: 0 · (−4)
Ch. 2 - Multiply: −6 · 9
Ch. 2 - Simplify:
Ch. 2 - Prob. 50CR
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