Multiplying and Dividing by Powers of 10

Multiplying and Dividing by Powers of 10

Let's Review Powers of 10

•  $10^0=1$  

•  $10^1=10$ 

•  $10^2=100$  

•  $10^3=1,000$  

•  $10^4=10,000$  

•  $10^5=10,000$  

• The pattern continues on indefinitely!

Multiple Choice

When you multiply by the power of 10 will the decimal move to the right or to the left?

• Right

• Left

Fill in the Blank

Correct! When you multiply by a power of 10 the decimal always goes to the right by the total number of zeros in the power of 10. (Hint: there are three zeros in  $10^3$  ).

 $5,455.639\ x\ 10^3=$  

Multiple Choice

When you divide by the power of 10 will the decimal move to the right or the left?

• Right

• Left

Fill in the Blank

Correct! When you divide by a power of 10 the decimal always goes to the left by the total number of zeros in the power of 10. (Hint: there are two zeros in  $10^2$  ).
 $345\ \div\ 10^2$  

Multiple Choice

Let's practice!  $4.367\ \times10^{3=}$  

• 43.67

• 436.7

• 4,367

Multiple Choice

 $.456\ \times10^{2=}$  

Let's Practice!

• 4.56

• 45.6

• 456

Multiple Choice

Let's Practice!

 $2,987\ \times10^4$  

• 298.7

• 29,870,000

• 298,700

Poll

Temperature Check! How do you feel about multiplying by powers of 10?

• Great! I could teach other students!

• Okay! Could use more practice though.

• Ugh! This is very complicated!

Multiple Choice

Let's Practice!

 $2,678\ \div10^3$  

• 2.678

• 26.78

• 267.8

Multiple Choice

 Let's Practice!

 $43,785\ \div10^2$  

• 43.785

• 437.85

• 4,378.5

Multiple Choice

Let's Practice!

 $652\ \div10^3$  

• .652

• 6.52

• 65.2

Poll

Temperature Check! How do you feel about dividing by powers of 10?

• Great! I could teach other students!

• Okay! But, I could use more practice!

• Ugh! This is complicated!

Fill in the Blank

Recap! When multiplying by powers of 10 the decimal moves to the ___________ and when dividing by powers of 10 the decimal moves to the _________.