**Title: Multiplying and Dividing Measurements with Significant Figures**When performing calculations with measurements, it is crucial to maintain the correct number of significant digits in your results. This guide provides examples of how to multiply and divide measurements while ensuring the correct number of significant figures. ### Example Problems:#### Problem 1: Multiplying Lengths```20.9 cm × 12. cm = _______ cm²```- Multiply the given measurements, ensuring the product has the correct number of significant figures based on the inputs.#### Problem 2: Dividing Moles and Liters```641.8 mol ÷ 59.25 L = _______ mol/L```- Divide the values and express the result with the appropriate number of significant digits.#### Problem 3: Multiplying Lengths```20.9 cm × 23. cm = _______ cm²```- Multiply the measurements, maintaining significant figures in the final answer.### Tools:The image includes a small interface with buttons for redoing the calculations or clearing the current inputs. By following these steps and using the correct number of significant figures, you can ensure that your calculated results maintain accuracy and precision as per scientific standards.

Answered: Image /qna-images/answer/d4e843af-1e4b-4444-aa11-0203edc58c68.jpg

Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits. 20.9 cm X 12. cm = 641.8 mol 59.25 L = 20.9 cm x 23. cm = 2 cm² mol L D cr cm 2 ☐ x10 X

Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits. 20.9 cm X 12. cm = 641.8 mol 59.25 L = 20.9 cm x 23. cm = 2 cm² mol L D cr cm 2 ☐ x10 X

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

See similar textbooks

Related questions

Q: A student is determining the density of an unknown metal with a mass of 256.0 g. The student…

A: First, the volume of unknown metal is determined as follows,

Q: A chemistry student needs 85.0 mL of dimethyl sulfoxide for an experiment. By consulting the CRC…

A: Given, The volume of dimethyl sulfoxide = 85.0 mL The density of dimethyl sulfoxide = 1.10 g.cm-3 We…

Q: None

Q: Multiply or divide the following measurements. Be sure each answer you enter contains the correct…

A: While doing multiplication and division, the answer should contain the same number of significant…

Q: 69.8 in to cm 0.25 mi to in 4.47 in^2 to cm^2 6.0 qt to mL

Q: Which of the following is the smallest volume? 44 cm³ O 1.0 dL O 5.5 x 10³ mL O 1.0 x 10° nL

A: Since, 1cm3 = 1 ml 1L= 1000 mL 1 dL= 0.1 L 1 nL = 10-9 L then,

Q: Multiply or divide the following measurements. Be sure each answer you enter contains the correct…

A: Same Units cancel each other if present in division form only. Treat units similar to the numbers…

Q: Multiply or divide the following measurements. Be sure each answer you enter contains the correct…

A: -> In addition and substraction answer contains lowest number of decimal places.-> In…

Q: Multiply or divide the following measurements. Be sure each a digits. 0.934 cm x 3.825 cm = 339.9…

A: For the correct number of significant figures in multiplication and division ,the least number of…

Q: Multiply or divide the following measurements. Be sure each answer you enter contains the correct…

A: Rule of significant digit-1) In non decimal number, 0 comes after non-zero not count in significant…

Q: 3.6 kg/cm^3=——- g/um^3

A: 1 kilogram is equal to 1000 g. 2 kilograms are equal to 2000 g. 3 kilograms are equal to 3000 g. 3.6…

Q: Multiply or divide the following measurements. Be sure each answer you enter contains the correct…

A: Given : 604.36 mol ÷72.3 L = 8.359059474 mol/ L 0.93 cm x 4.725 = 4.39425 cm2 20.9476 mol/ L x 70…

Q: Multiply or divide the following measurements. Be sure each answer you enter contains the correct…

A: The significant figure refers to particular digits in a number. According to the measurement rule,…

Q: A chemistry student needs 45.0 mL of diethmylamine for an experiment. By consulting the CRC…

A: Given,Volume of diethylamine = 45.0 mL = 45.0 cm3 (1mL = 1cm3)Density of diethylamine =…

Q: 0.93 cm x 4.925 cm 358.62 g 64.52 mL 93. g mI 1 = X 93. mL = cm 0 mL 5.0 g

A: The expressions given are:

Q: Multiply or divide the following measurements. Be sure each answer you enter contains the correct…

A: There are some rules of multiplying and dividing with units . If we multiply the term with units ,…

Q: Multiply or divide the following measurements. Be sure each answer you renter contains the correct…

A: Rule of significant digit- 1) In non decimal number, 0 comes after non-zero not count in significant…

Q: Multiply or divide the following measurements. Be sure each answer you enter contains the correct…

A: Addition and subtraction:According to significant figures rules,during addition/subtraction,the…

Q: Complete each row of the table below by filling in the missing prefix or missing exponent. 1 m =…

A: 1m = 10-3 mm 1Km = 103 m

Q: Multiply or divide the following measurements. Be sure each answer you enter contains the correct…

A: The expressions given are,

Q: Multiply or divide the following measurements. Be sure each answer you enter contains the correct…

A: The final result of multiplication and division should be rounded to the same number as the least…

Q: A student is determining the density of an unknown metal with a mass of 232.0 g. The student…

A: Given, the mass of unknown metal = 232.0 g Now calculate the volume of unknown metal is determined…

Q: Multiply or divide the following measurements. Be sure each answer you enter contains the correct…

A: The expressions given are,

Q: 0.0040 g/cm3 x 23.8 cm =

A: Applying simple rule of multiplication with their units.

Q: Multiply or divide the following measurements. Be sure each answer you enter contains the correct…

A: We have to multiply or divide…

Q: The density of lead is 11.4 g/cm3. Convert the density to lb/ft3.

A: The density of lead is 11.4 g/cm3 determined in terms of lb/ft3 in step 2

Q: A chemistry student needs 75.0 mL of tetrahydrofuran for an experiment. By consulting the CRC…

A: Density (d) tells us how much mass is present in given volume of solution. It is calculated by…

Q: Multiply or divide the following measurements. Be sure each answer you enter contains the correct…

A: Addition and subtraction:Here, in this case we round the answer to the same number of decimal places…

Q: 1 Measurements have shown that the concentration of salt in seawater is 35.5 g.L-¹. Calculate the…

A: The objective of this question is to calculate the volume of seawater that needs to be evaporated to…

Q: Add or subtract the following measurements. Be sure each answer you enter contains the correct…

A: The significant figure refers to particular digits in a number. According to the measurement rule,…

Q: Add or subtract the following measurements. Be sure each answer you enter contains the correct…

A: In scientific measurements, the significant digits of a number are those digits that carry…

Q: 2.0947 mL X 2.425 mL 642.98 + 79.239 mL mL 2 78.08 cm X 45. cm cm

A: For division and multiplication, the answer should have the same number of significant figures as…

Q: Each of these numbers is written in exponential form, but not in proper scientific notation. Write…

Q: Multiply or divide the following measurements. Be sure each answer you enter contains the correct…

A: The significant figure refers to particular digits in a number. According to the measurement rule,…

Q: Multiply or divide the following measurements. Be sure each answer you enter contains the correct…

A: This problem is based on significant figures.We know that , According to the rule for significant…

Q: Multiply or divide the following measurements. Be sure each answer you enter contains the correct…

A: Given : data Tip : in answer significant numbers is decided by the least significant numbers…

Q: Multiply or divide the following measurements. Be sure each answer you enter contains the correct…

A: Significant digits give a precise measurement. Rules of significant digits : In case of…

Q: Multiply or divide the following measurements. Be sure each answer you enter contains the correct…

A: -> In addition and subtraction answer contains the lowest number of decimal places.-> In…

Q: Multiply or divide the following measurements. Be sure each answer you enter contains the correct…

A: ->In addition and subtraction answer contains the lowest number of decimal places.-> In…

Q: Multiply or divide the following measurements. Be sure each answer you enter contains the correct…

A: The rule simply says that during multiplication and division, the number of significant figures in…

Concept explainers

Matter and Measurement

In the universe, there is matter, energy, and void space. The universe contains energy and void space. The definition of matter can be considered as something which possesses mass and consumes space. Chemistry is that branch of science which deals with the study of matter. Under chemistry, nature, composition, and the changes occurring to matter are discussed.

Question

**Title: Multiplying and Dividing Measurements with Significant Figures**

When performing calculations with measurements, it is crucial to maintain the correct number of significant digits in your results. This guide provides examples of how to multiply and divide measurements while ensuring the correct number of significant figures.

### Example Problems:

#### Problem 1: Multiplying Lengths
```
20.9 cm × 12. cm = _______ cm²
```
- Multiply the given measurements, ensuring the product has the correct number of significant figures based on the inputs.

#### Problem 2: Dividing Moles and Liters
```
641.8 mol ÷ 59.25 L = _______ mol/L
```
- Divide the values and express the result with the appropriate number of significant digits.

#### Problem 3: Multiplying Lengths
```
20.9 cm × 23. cm = _______ cm²
```
- Multiply the measurements, maintaining significant figures in the final answer.

### Tools:
The image includes a small interface with buttons for redoing the calculations or clearing the current inputs.

By following these steps and using the correct number of significant figures, you can ensure that your calculated results maintain accuracy and precision as per scientific standards.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Basic information

Step 2: Explanation

Step 3: Explanation

Solution

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

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

Similar questions

Add or subtract the following measurements. Be sure each answer you enter contains the correct number of significant digits. 5.97 g 0.5 g g 9.800 g + 0.9 g g 4.87 g 0.570 g %3D
Add or subtract the following measurements. Be sure each answer you enter contains the correct number of significant digits. 9.500 g 0.67 g = 9.60 g 1.2 g 12.70 g + 1.070 g = = ☐g g x10 X Undo
Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits. 2.0947 cm X 1.3 cm = 93. mol L X 47. L 793.92 m 55.88 s = = 0 2 cm mol m 0-²- S x10 X S
Using the table of equalities, calculate the number of cups in 1.0 gallons (gal). Remember to select an answer with the correct number of significant figures. Some Common Equalities Quantity Metric (SI) Length Volume Mass Time 1000 m 1 km Im= 1000 mm 1 cm 10 mm IL 1000 mL 1 dl = 100 mL 1 mL = 1 cm³ 1 kg = 1000 g 1 g = 1000 mg 1 h = 60 min 1 min = 60 s U.S. 1 ft = 12 in. 1 yd = 3 ft 1 mi 5280 ft 1 qt = 4 cups 1 qt=2pt 1 gal - 4 qt 1 lb = 16 oz 1 h = 60 min 1 min = 60 s Metric-U.S. 2.54 cm 1 in. (exact) I m = 39.4 in. 1 km 0.621 mi 946 mL- 1 qt 1L = 1.06 qt 1 kg = 2.20 lb 454 g 1 lb 12 cups 16 cups 64 cups 8.0 cups I DON'T KNOW YET
Add or subtract the following measurements. Be sure each answer you enter contains the correct number of significant digits. 14.820 mL + 3.97 mL = 9.77 mL 6.9 mL = 2.70 mL + 6.800 mL = mL mL mL םיים × Ś
Suppose you are trying to find the volume of a box based on the given measurements for the length, width, and height of the box, where the height was measured in two parts. length, l = 2.20 in width, w = 3.71 in height, h = 10.4 in + 1 in Calculate the height, ℎ, of the box, first keeping all digits, then rounding to the proper number of significant figures. unrounded h = ____in rounded h =____ in Calculate the volume (V) of the box using V =l x w x h. Round to the proper number of significant figures. v=_____in3
Calculate the density of magnesium metal if 860 cm3 block has a mass of 1.51 x103g. Express the answer with the correct number of significant figures. 0.569 cm3/g 0.60 g/cm3 0.60 cm3/g 1.8 g/cm3 1.76 g/cm3
Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits. 0.93 20.9476 g mL g mL X 4.15 mL x 35. mL = 511.0 g 0.81 mL = 0 g g mL x10 X Ś
In 1999, scientists discovered a new class of black holes with masses 100 to 10,000 times the mass of our sun, but occupying less space than our moon. Suppose that one of these black holes has a mass of 8×103 suns and a radius equal to one-half the radius of our moon. What is its density in grams per cubic centimeter? The mass of the sun is 2.0×1030kg and the radius of the moon is 2.16×103mi. (Volume of a sphere =43πr3.)
Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits. 93. g/mL×38.mL
Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits. 363.3 mol 0.63 L 542.6 mol 32.72 L 7.8084 cm X 2.125 cm 10 mol L mol L cm² x10 X