Big Ideas Math: Modeling Real Life, Grade 6
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5. Multiplying Decimals
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Exercise 69 Page 80

Notice that each term in the sequence is the previous term divided by 10.

Next Three Terms: a_5=0.0015, a_6=0.00015, and a_7=0.000015
Describe the Pattern: See solution.

Practice makes perfect
We want to find a formula for the given sequence. 15, 1.5 0.15, 0.015, ...

Notice that each term in the sequence is the previous term divided by 10.

a_1 a_2 a_3 a_4 ... a_n
15 1.5 0.15 0.015 ... —
— 15÷ 10 1.5÷ 10 0.15÷ 10 ... a_(n-1) ÷ 10

We can use the fourth term a_4= 0.015 to find the next three terms. Let's do it!

a_n=a_(n-1)* 0.6
a_5= 0.015Ă· 10 a_6= 0.0015Ă· 10 a_7= 0.00015Ă· 10
a_5= 0.0015 a_6= 0.00015 a_7=0.000015