7th Grade Math

(Marvins-Underground-K-12) #1

Multi-Part Lesson Review


Chapter Study Guide and Review 191

Rational Numbers


Terminating and Repeating Decimals (Lessons 1A and 1B)
Write each decimal as a fraction in
simplest form.


  1. 0.7 12. 0.44 13. 0.05

  2. RUNNING Jeremy ran a mile in 5 minutes
    and 8 seconds. Write this time in minutes
    as a decimal.


EXAMPLE 1 Write _^2
3 as a decimal.
0.66... Since the pattern
continues to repeat, a
bar is placed over the
6 to indicate it repeats
infinitely. So, _^2
3
= 0. −6.

3  2.00
_____ -^18
20


  • _____ 18
    2


Compare and Order Rational Numbers (Lesson 1C)
Replace each ● with <, >, or = to make a
true sentence.


  1. 37.5% ● ^2
    3
    16. -0.45 ● -
    ^9
    20

  2. SCHOOL Michael received a _^26
    30
    on his
    English test and an 81% on his biology
    test. On which test did he receive the
    higher score?


EXAMPLE 2 Replace each ● with <, >,
or = to make 60% ● _^58 a true sentence.

Write each as a decimal.

60% = 0.6 _^58 = 0.625


Since 0.6 < 0.625, then 60% < _^58.


Lesson 1

Add and Subtract Fractions


Add and Subtract Like Fractions (Lesson 2A)
Add or subtract. Write in simplest form.




    • _^5
      8

      • ^1
        8
        19.
        ^7
        12

        • _^1
          12







  1. _^11
    12

    • ^7
      12
      21.
      ^7
      9

      • (- _^4
        9






(^) )
EXAMPLE 3 Find _^7
12



  • ^5
    12
    . Estimate
    ^12 - _^12 = 0


_^7
12


  • ^5
    12
    =
    ^7 -^5
    12
    Subtract the numerators.


= _^2
12
or _^1
6
Simplify.

Add and Subtract Unlike Fractions (Lessons 2B and 2C)
Add or subtract. Write in simplest form.


  1. 97 - 61 23. 54 + 102

  2. RUNNING Teresa ran ^56 mile while
    Yolanda ran
    ^14 mile. By what fraction
    did Teresa run more than Yolanda?


EXAMPLE 4 Find 83 + 32. Estimate 21 + 21 = 1


The LCD of ^38 and ^23 is 24.


_^3
8
_^3 ×^3
8 × 3
_^9
24
+ _^2
3
_^2 ×^8
3 × 8
+ _^16
24
_____ _____
_^25
24
or 1 _ 241

Lesson 2

190_194_SGR_895130.indd 191 12/31/09 12:51 PM

Free download pdf