zMath 160  - Unit 11: Decimals: Division

Modeling Decimal Division 

For problems #1 – #3 print out enough decimal squares to make models for each problem.


1)

Using decimal squares, make a model for 2.4 ÷ 0.3 by cutting out base-ten blocks and grouping them to represent 2.4 ÷ 0.3. Describe the model and state the answer to the division problem.


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2)

Using decimal squares, make a model for 0.6 ÷  0.04 by cutting six base-ten blocks into hundredths and grouping them to represent 0.6 ÷  0.04.  Hint:  one tenth is equal to ten hundredths. Describe the model and state the answer to the division problem.


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3)

Using decimal squares, make a model for 2.25 ÷ 0.25 by cutting out base-ten blocks and one hundredths blocks and grouping them to represent 2.25 ÷ 0.25. Describe the model and state the answer to the division problem.


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Dividing Decimals by Whole Numbers 


4)

Find the quotient.  78.4 ÷ 49


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5)

Find the quotient.  221.78 ÷ 26


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Dividing Decimals by Tenths


6)

Find the quotient.  11.04 ÷ 2.3


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7)

Find the quotient.  394.284 ÷ 8.7


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Dividing Decimals by Hundredths


8)

Find the quotient.  34.404 ÷ 3.66


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9)

Find the quotient.  23.2192 ÷ 2.56


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Dividing Decimals and Rounding Quotients


10)

Find the quotient. 87.3 ÷ 0.38 (Round to nearest tenth)


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11)

Find the quotient.  56.24 ÷ 9.2 (Round to nearest hundredth)


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12)

Find the quotient.  45.35 ÷ 7.8 (Round to nearest whole number)


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Dividing Whole Numbers by Decimals


13)

Find the quotient.  112 ÷ 0.08


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14)

Find the quotient. Round to nearest tenth.   25 ÷ 0.17


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15)

Joe went to CD Express to take advantage of their big sale. The sale promotion is shown on the sign. The regular price of a CD is $12.99. How much did it cost Joe to buy six CD’s?

Buy three CDs and get three more for half off the regular price!


Review


16)

Find the quotient. 


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17)

The grocery tape displayed is torn. How much was spent for milk?


18)

If the numbers { 0.35, 0.3, 0.300, 0.345 } are placed in order below the points on the number line, which number would be located at point P?


19)

Evaluate.  Hint: Review the rules for "Order of Operations" in Unit 1.


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20)

Evaluate.  12.4  + 6 × 1.5


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21)

Andrea is preparing kielbasa for a wedding.  She is going to make an 18 quart roaster.  She has 6 3/4 lb of kielbasa.  Her recipe calls for 15 lb.  How much kielbasa does she need to order?


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22)

Find the product. Hint: Use cancelling. You may cancel any numerator with any of the denominators. For example, you may cancel the 8 and 16.


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There is a special mathematical sequence called the Fibonacci Sequence. Search the Internet, find out about it, and then answer the questions below.


23)

Write the first 10 numbers in the sequence and explain how the numbers are related.


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24)

Write a short paragraph about the person who discovered the Fibonacci sequence – full name, where he lived, when he lived, and anything else interesting you find out about him.


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25)

The Fibonacci Sequence occurs in nature. Research and find one example of where it occurs in nature and explain how the sequence or part of it occurs.


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