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Multiplying and Dividing by Powers of 10

1.) Complete stations A-F around the room. Copy

each problem and answer it below.

A B C D E F

Problem

Answer = = = = = =

2.) Where is the decimal point in a whole number?

It is to the RIGHT of the whole number. Ex: 6 = 6.

3.) What patterns do you notice in A, B, C? (Hint:

Look at the problem compared to the answer.)

There is an extra zero each time.

Each time, it’s getting 10 times bigger.

The decimal moves to the right once each time.

4.) What patterns do you notice in D, E, F? (Hint:

Look at the problem compared to the answer.)

Each time the decimal moves to the right, the

same number of spaces as there are zeros in the

power of ten.

5.) Write down a rule (in your own words) that

explains what happens to the position of the

decimal point every time you multiply a number by

10:

The decimal goes to the right once.

6.) Write down a rule (in your own words) that

explains what happens to the position of the

decimal point every time you multiply by 100.

You move it twice to the right.

7.) Write down a rule (in your own words) that

explains what happens to the position of the

decimal point every time you multiply by 1,000.

It moves over three times to the right.

8.) What will be the rule for multiplying by

10,000?

If you multiply by 10,000, you’ll move the

decimal four times to the right .

9.) Complete the rest of the stations around the

room. Copy each problem and answer it below.

G H I J K L

Problem

Answer = = = = = =

10.) What patterns do you notice in G, H, and I?

(Hint: Look at the problem compared to the

answer.)

The numbers get 10 or 100 times smaller.

The decimal moves to the left.

11.) What patterns do you notice in J, K, and L?

(Hint: Look at the problem compared to the

answer.)

The numbers get 10 or 100 times smaller.

The decimal moves to the left.

12.) Write down a rule (in your own words) that

explains what happens to the position of the

decimal point every time you divide a number by

10.

It moves to the left one space. (It gets 10 times

smaller.)

13.) Write down a rule (in your own words) that

explains what happens to the position of the

decimal point every time you divide a number by

100.

It moves to the left two spaces. (It gets 100

times smaller.)

Glue Rules Here:

Multiplying and Dividing by Powers of 10

1.) Complete stations A-F around the room. Copy

each problem and answer it below.

A B C D E F

Problem

Answer = = = = = =

2.) Where is the decimal point in a whole number?

______________________________________________________

3.) What patterns do you notice in A, B, C? (Hint:

Look at the problem compared to the answer.)

______________________________________________________

______________________________________________________

______________________________________________________

4.) What patterns do you notice in D, E, F? (Hint:

Look at the problem compared to the answer.)

______________________________________________________

______________________________________________________

______________________________________________________

5.) Write down a rule (in your own words) that

explains what happens to the position of the

decimal point every time you multiply a number by

10:

______________________________________________________

______________________________________________________

______________________________________________________

6.) Write down a rule (in your own words) that

explains what happens to the position of the

decimal point every time you multiply by 100.

______________________________________________________

______________________________________________________

______________________________________________________

7.) Write down a rule (in your own words) that

explains what happens to the position of the

decimal point every time you multiply by 1,000.

______________________________________________________

______________________________________________________

______________________________________________________

8.) What will be the rule for multiplying by

10,000?

______________________________________________________

______________________________________________________

______________________________________________________

9.) Complete the rest of the stations around the

room. Copy each problem and answer it below.

G H I J K L

Problem

Answer = = = = = =

10.) What patterns do you notice in G, H, and I?

(Hint: Look at the problem compared to the

answer.)

______________________________________________________

______________________________________________________

______________________________________________________

11.) What patterns do you notice in J, K, and L?

(Hint: Look at the problem compared to the

answer.)

______________________________________________________

______________________________________________________

______________________________________________________

12.) Write down a rule (in your own words) that

explains what happens to the position of the

decimal point every time you divide a number by

10.

______________________________________________________

______________________________________________________

13.) Write down a rule (in your own words) that

explains what happens to the position of the

decimal point every time you divide a number by

100.

______________________________________________________

______________________________________________________

Glue Rules Here:

Final Rules to Glue:

Multiplication Rule:

To multiply a number by 10, 100, 1000, move the

decimal point to the RIGHT as many places as there are

ZEROS in the power of ten.

Division Rule:

To divide a number by 10, 100, 1000, move the

decimal point to the LEFT as many places as there are

ZEROS in the power of ten.

Multiplication Rule:

To multiply a number by 10, 100, 1000, move the

decimal point to the RIGHT as many places as there are

ZEROS in the power of ten.

Division Rule:

To divide a number by 10, 100, 1000, move the

decimal point to the LEFT as many places as there are

ZEROS in the power of ten.

Multiplication Rule:

To multiply a number by 10, 100, 1000, move the

decimal point to the RIGHT as many places as there are

ZEROS in the power of ten.

Division Rule:

To divide a number by 10, 100, 1000, move the

decimal point to the LEFT as many places as there are

ZEROS in the power of ten.

Problem A

12 x 10 =

Problem B 12 x 100 =

Problem C 12 x 1,000 =

Problem D 0.123 x 10 =

Problem E 0.123 x 100 =

Problem F

0.123 x 1,000 =

Problem G 𝟐𝟎   ÷ 𝟏𝟎 =

Problem H 𝟐𝟎𝟎   ÷ 𝟏𝟎 =

Problem I 𝟐𝟎𝟎   ÷ 𝟏𝟎𝟎 =

Problem J 𝟑𝟎   ÷ 𝟏𝟎 =   Problem K 𝟑𝟎𝟎   ÷ 𝟏𝟎 =  

Problem L 𝟑𝟎𝟎   ÷ 𝟏𝟎𝟎 =  

Problem A

12 x 10 =

Problem B 12 x 100 =

Problem C 12 x 1,000 =

Problem D 0.123 x 10 =

Problem E 0.123 x 100 =

Problem F

0.123 x 1,000 =

Problem G 𝟐𝟎  ÷ 𝟏𝟎 =

Problem H 𝟐𝟎𝟎  ÷ 𝟏𝟎 =

Problem I 𝟐𝟎𝟎  ÷ 𝟏𝟎𝟎 =

Problem J 𝟑𝟎  ÷ 𝟏𝟎 =  

Problem K 𝟑𝟎𝟎  ÷ 𝟏𝟎 =  

Problem L

𝟑𝟎𝟎  ÷ 𝟏𝟎𝟎 =