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TRANSCRIPT
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 =