Multiplying and Dividing by Powers of 10

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Morris Park
6 years ago
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1 Multiplying and Dividing by Powers of 10 1.) Complete stations A-F around the room. Copy each problem and answer it below. Problem A B C D E F 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 decimal point every time you multiply a number by 10: The decimal goes to the right once.

2 6.) Write down a rule (in your own words) that 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 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. Problem G H I J K L 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.

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

4 Multiplying and Dividing by Powers of 10 1.) Complete stations A-F around the room. Copy each problem and answer it below. Problem A B C D E F 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 decimal point every time you multiply a number by 10:

5 6.) Write down a rule (in your own words) that decimal point every time you multiply by ) Write down a rule (in your own words) that decimal point every time you multiply by 1, ) 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. Problem G H I J K L Answer = = = = = = 10.) What patterns do you notice in G, H, and I? (Hint: Look at the problem compared to the answer.)

6 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 decimal point every time you divide a number by ) Write down a rule (in your own words) that decimal point every time you divide a number by 100. Glue Rules Here:

7 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.

8 Problem A 12 x 10 = Problem B 12 x 100 = Problem C 12 x 1,000 = Problem D x 10 = Problem E x 100 = Problem F x 1,000 = Problem G = Problem H = Problem I = Problem J = Problem K = Problem L =

9 Problem A 12 x 10 = Problem B 12 x 100 =

10 Problem C 12 x 1,000 = Problem D x 10 =

11 Problem E x 100 = Problem F x 1,000 =

12 Problem G = Problem H =

13 Problem I = Problem J =

14 Problem K = Problem L =

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