Explanation Definition used: The element ‘ a’ is congruent to ‘ b’ modulo m , can be written as a ≡ b ( mod m ) if ‘ a’ and ‘ b’ have the same remainder when divide by m . Calculation: Compute the expression, ( 4 − 9 ) ⋅ 7 , ( 4 − 9 ) ⋅ 7 = − 4 ⋅ 7 = − 28 Obtain the number that − 28 is equivalent to in mod 5 , In mod 5, add 5, or a multiple of 5, to a number results in the same modulo class. Thus, add any multiple of 5 to the given expression ( 4 − 9 ) ⋅ 7 , ( 4 − 9

10th Edition

ISBN: 9780135834954

Author: Angel

Publisher: PEARSON

See similar textbooks

Concept explainers

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.

Videos

Question

Chapter 9.3, Problem 32E

To determine

The number of the expression (4−9)⋅7 is congruent to in modulo 5.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9.3, Problem 31E

Chapter 9.3, Problem 33E

Students have asked these similar questions

3 2 Find: ƒ(1) lim f(x) 14-x 2 ƒ(2) lim f(x) x-2- lim f(x) x+2+ lim f(x) x→4 3 y=f(x)

For each graph below, state whether it represents a function. Graph 1 24y Graph 2 Graph 3 4 2 -8 -6 -4 -2 -2 2 4 6 Function? ○ Yes ○ No ○ Yes ○ No Graph 4 Graph 5 8 Function? Yes No Yes No -2. ○ Yes ○ No Graph 6 4 + 2 4 -8 -6 -4 -2 2 4 6 8 Yes -4++ No

Students were asked to simplify the expression (secØ - cosØ)/secØ Two students' work is given.Student A: step 1 secØ/secØ - cosØ/secØstep 2 cosØ/1 - (1/cosØ)step 3 1 - cos^2Østep 4 sin^2ØStudent B: step 1 (1/cosØ)-cosØ)/secØstep 2 (1 - cos^2Ø/cosØ)/secØstep 3 sin^2Ø/cos^2Østep 4 tan^2ØPart A: Which student simplified the expression incorrectly? Explain the errors that were made or the formulas that were misused.Part B: Complete the student's solution correctly, beginning with the location of the error.

Chapter 9 Solutions

A SURVEY OF MATH 18 WK MML CODE

Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E Ch. 9.1 - Prob. 10E

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The number of the expression ( 4 − 9 ) ⋅ 7 is congruent to in modulo 5.

Solution Summary: The author explains how the expression (4-9)cdot 7 is congruent to 0 in mod 5.

Concept explainers

Videos

The number of the expression (4−9)⋅7 is congruent to in modulo 5.

Want to see the full answer?

Chapter 9 Solutions