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Big Ideas Math: Modeling Real Life, Grade 6

BI

Big Ideas Math: Modeling Real Life, Grade 6 View details

5. Multiplying Decimals

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Exercise 68 Page 80

Notice that each term in the sequence is the previous term multiplied by 0.6.

Next Three Terms: a_5=0.1296, a_6=0.07776, and a_7=0.046656
Describe the Pattern: See solution.

Practice makes perfect

We want to find a formula for the given sequence. 1, 0.6 0.36, 0.216, ...

Notice that each term in the sequence is the previous term multiplied by 0.6.

a_1	a_2	a_3	a_4	...	a_n
1	0.6	0.36	0.216	...	—
—	1* 0.6	0.6* 0.6	0.36* 0.6	...	a_(n-1) * 0.6

We can use the fourth term a_4= 0.216 to find the next three terms. Let's do it!

a_n=a_(n-1)* 0.6
a_5= 0.216* 0.6	a_6= 0.1296* 0.6	a_7= 0.07776* 0.6
a_5= 0.1296	a_6= 0.07776	a_7=0.046656

Subchapter links

Try It p.74-76

Self-Assessment for Concepts & Skills p.76

Self-Assessment for Problem Solving p.77

Review & Refresh p.78

Concepts, Skills, & Problem Solving p.78-80