6th Grade Math Textbook, Fundamentals

Lesson 4-8 for exercise sets. &KDSWHU 

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The quotient of two rational numbers

with likesigns is positive.

There is a division pattern.

The quotient is a repeating decimal.

Find the quotient. Check by multiplying.

1.7.47 0.6 2.0.1925 7. 7 3.5.1 0.03 4.abwhen a0.64 and b0.08

5.Discuss and Write When you divide a positive integer by a decimal less than 1,

will the quotient be greater thanor less thanthe dividend? If the divisor is a

decimal greater than 1, will the quotient be greater thanor less thanthe dividend?

Give examples to justify your answer.

Sometimes you need to write zeros in the quotient as placeholders.

Divide:0.0168 (5.6)

5.6(10)  56 0.0168(10) 0.168

16 8

0

 56 

03

00168

00

.

.

. ..

Check: Multiply 0.003(5.6)

5.6

0.003

0.0168 The product is

the same as the

original dividend.

Sometimes you need to round the quotient to a desired place.

Divide:3.26 0.06

Round the quotient to the

nearest hundredth.

...

 30

26

 24

20

 18

20 same remainder

 18

20 same remainder

So 3.26 0.06 54.333...

To the nearest hundredth, 54.333... rounds to 54.33.

To evaluate an expression with more than two rational numbers,

follow the rules for the order of operations.

Evaluate: c, when a3.4, b0.2, and c1. 7

1.7 Substitute 3.4 for a, 0.2 for b, and 1.7 for c.

 17 1.7 Divide to simplify, then add.

15.3

3.4

0.2

a

b

006

543 3

326000

3

...

.

.

Think

To round the quotient to the nearest hundredth, you

will have to find the quotient to the nearest thousandth.

Check:

Use a calculator to multiply.

Enter the repeating digit as many times

as it will fit on the screen.

Press 54.33333333 .06

3.26 original dividend