topic badge

6.03 Powers of 10 with decimals

Interactive practice questions

Think about the multiplication: $7826.3\times1000$7826.3×1000

a

How will the values of the digits in $7826.3$7826.3 change when multiplied by $1000$1000?

Each digit will decrease in place value by $4$4 places.

A

Each digit will increase in place value by $3$3 places.

B

Each digit will increase in place value by $4$4 places.

C

Each digit will decrease in place value by $3$3 places.

D
b

How can we describe the change in position of the decimal point when $7826.3$7826.3 is multiplied by $1000$1000?

The decimal point moves $3$3 places to the right.

A

The decimal point moves $4$4 places to the right.

B

The decimal point moves $3$3 places to the left.

C

The decimal point moves $4$4 places to the left.

D
Easy
1min

Think about the division: $8472.3\div100$8472.3÷​100

Easy
1min

Find the value of $0.1\times10$0.1×10.

Easy
< 1min

Find the value of $0.26\times10$0.26×10.

Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

5.NBT.A.2

Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

What is Mathspace

About Mathspace