HW # 21- HOLT p. 68 # 19-52 even

Warm up

Week 6, Day One

A. 8.75

Write each decimal as a fraction in simplest form.

B. 0.2625

C. 0.27

D. –0.625

E. Write 13/6 as a decimal.

Warm Up Response

C. 0.27 D. –0.625

E. Write as a decimal. 2.16

27 100

5 / 8

13/ 6

8.75A. 8.75

5 is in the hundredths place, so write hundredths as the denominator.

75 100= 8

= 8 3 4

Simplify by dividing by the greatest common divisor.

0.2625

B. 0.26255 is in the ten-thousandths place.

2625 10,000

=

= 21 80

Simplify by dividing by the greatest common divisor.

Homework Check Guided Practice # 1,11,17

1) 0.62511) ¾17) 3 21/100

Goals for Today

• Writing Repeating Decimals as Fractions

• Chapter 1 quiz – pass back (≤20 pts see me at PT)• Factor Trees II worksheet- compare with your

neighbor• DO class work: p. 68 # 1-18 AND 27, 37, 45

• Clean out your binder and put your MMC project in your spiral (if you have not done this already).

To write a terminating decimal as a fraction, identify the place value of the digit farthest to the right. Then write all of the digits after the decimal point as the numerator with the place value as the denominator.

5.37

A. 5.377 is in the hundredths place, so write hundredths as the denominator.

37 100= 5

For Example

Write each decimal as a fraction in simplest form.

0.622

B. 0.6222 is in the thousandths place, so write thousandths as the denominator.

622 1000

=

= 311 500

Simplify by dividing by the greatest common divisor.

A fraction is in reduced, or simplest, form when the numerator and the denominator have no common divisor other than 1.

Remember!

8.75A. 8.75 5 is in the hundredths place, so

write hundredths as the denominator.

75 100= 8

= 8 3 4

Simplify by dividing by the greatest common divisor.

Write each decimal as a fraction in simplest form.Example 2

0.2625

B. 0.26255 is in the ten-thousandths place.

2625 10,000

=

= 21 80

Simplify by dividing by the greatest common divisor.

x = 0.44444… Let x represent the number.

Example: Writing Repeating Decimals as Fractions

Write 0.4 as a fraction in simplest form.

10x = 10(0.44444…) Multiply both sides by 10 because 1 digit repeats.Subtract x from both sides to eliminate the repeating part. Since x = 0.44444…, use 0.44444… for x on the right side of the equation.

_

10x = 4.444444…

-x = -0.44444…

9x = 4

9x = 4 9 9

Since x is multiplied by 9, divide both sides by 9.

x = 4 9

x = 0.363636… Let x represent the number.

Example 2

Write 0.36 as a fraction in simplest form.

100x = 100(0.363636…) Multiply both sides by 100 because 2 digits repeat.

Subtract x from both sides to eliminate the repeating part. Since x = 0.363636…, use 0.363636… for x on the right side of the equation.

__

100x = 36.363636…

-x = -0.363636…

99x = 36

99x = 36 99 99

Since x is multiplied by 99, divide both sides by 99.

x = =36 99

4 11 Write in simplest form.