Grade 8 Place Value Relationships

Explore and understand the relationships between place values in multi-digit numbers, including decimals, for Grade 8 students.

Grade 8 Math Number SenseRelationships Between Place Values

Use This Worksheet

Includes

Fill in the BlanksMultiple ChoiceTrue / FalseShort AnswerMatching

Standards

CCSS.MATH.CONTENT.8.NS.A.1CCSS.MATH.CONTENT.8.EE.A.3

Topics

place valuedecimalspowers of 10number sensegrade 8 math

7 sections · Free to use · Printable

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show all work where applicable.

1. In the number 5,342, the digit 3 is in the place.

2. The value of the digit 7 in 1,789 is times the value of the digit 7 in 78.

3. Moving one place to the left in a number increases the value of a digit by a factor of .

4. Moving one place to the right in a number decreases the value of a digit by a factor of .

5. What is the value of the digit 6 in 12.365?

Sixty

Six tenths

Six hundredths

Six thousandths

6. The value of the digit 4 in 0.45 is 10 times greater than the value of the digit 4 in 0.045.

True

False

7. Explain how the value of the digit 9 in 9,000 is related to the value of the digit 9 in 900. Use a number line to illustrate your explanation.

Match each expression on the left with its equivalent value on the right.

8. 3 x 10^2

a. 0.03

9. 3 ÷ 10^1

b. 300

10. 3 x 10^-2

c. 0.3