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IM: 6.5.5: Decimal Points in Products (Lesson)

Last updated over 1 year ago

9 Nsɛmmisa

5.1: Multiplying by 10

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2.

How many times the size of 0.81 is 810?

5.2: Fractionally Speaking: Powers of Ten

5.3: Fractionally Speaking: Multiples of Powers of Ten

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Are you ready for more?

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1.

In which equation is the value of x the largest?

x \cdot 10=810

x \cdot 10=81

x \cdot 10=8.1

x \cdot 10=0.81

Work with a partner. One person solves the problems labeled “Partner A” and the other person solves those labeled “Partner B.” Then compare your results.

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3.

Find each product or quotient. Be prepared to explain your reasoning.

Partner A

a. 250 \cdot 1/10

b. 250 \cdot 1/100

c. 48 \div 10

d. 48 \div 100

Partner B

a. 250 \div 10

b. 250 \div 100

c. 48 \cdot 1/10

d. 48 \cdot 1/100

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4.

Use your work in the previous problems to find 720 \cdot (0.1) and 720 \cdot (0.01). Explain your reasoning.

Pause here for a class discussion.

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5.

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7.

Select all expressions that are equivalent to (0.6) \cdot (0.5). Be prepared to explain your reasoning.

6 \cdot (0.1) \cdot 5 \cdot (0.1)

6 \cdot (0.01) \cdot 5 \cdot (0.1)

6 \cdot 1/10 \cdot 5 \cdot 1/10

6 \cdot 1/1,000 \cdot 5 \cdot 1/100

6 \cdot (0.001) \cdot 5 \cdot (0.01)

6 \cdot 5 \cdot 1/10 \cdot 1/10

6/10 \cdot 5/10

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8.

Find the value of (0.6) \cdot (0.5). Show your reasoning.

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9.

Ancient Romans used the letter I for 1, V for 5, X for 10, L for 50, C for 100, D for 500, and M for 1,000. Write a problem involving merchants at an agora, an open-air market, that uses multiplication of numbers written with Roman numerals.

Find each product. Show your reasoning. a. 36 \cdot (0.1)

b. (24.5) \cdot (0.1)

c. (1.8) \cdot (0.1)

d. 54 \cdot (0.01)

e. (9.2) \cdot (0.01)

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6.

Jada says: “If you multiply a number by 0.001, the decimal point of the number moves three places to the left.” Do you agree with her? Explain your reasoning.