8th Grade Chapter 1 Math Review

Scientific Notation

100

751,000,000,000 in scientific notation is

7.51x10¹¹

200

0.002 in scientific notation is

2 x 10^-3

300

0.00000531 in scientific notation is

5.31x10^-6

400

(4.2 x 10⁵) x (7.5 x 10⁷)

(4.2 x 7.5) x (10⁵⁺⁷)

31.5 x 10¹² = 31,500,000,000,000

500

(3.33 x 10⁵) + (7.4 x 10⁴)

1.07 x 10¹⁰

(3.33+7.4) x (10⁵⁺⁴)

10.73 x 10⁹

1.07 x 10¹⁰ 

Exponents

100

7⁰ is what in standard form?

1

200

5³  is what in standard form

5x5x5 or 125

300

5³ / 5^-2

5^3-(-2)

5³⁺²

5⁵ = 5x5x5x5x5 = 3,125

400

(2⁶ x 2³) /  (2⁴ x 2¹)

2⁶⁺³ / 2⁴⁺¹

2⁹ / 2⁵

2^9-5

2⁴ = 2x2x2x2 = 16

500

[(7+2)(7-5) + (4)² x 3(2-1)|

[(9)(2) + (16)(3)]

18 + 48 = 

66

Square Roots

100

What is the square root of 144? 

12

200

Is 33 a perfect or non perfect square root?

Nonperfect

300

What is the square root of 36 + the square root of 49 + the square root of 25 + 10?

28

6+7+5+10  = 28

400

The square root of 57 falls between what two numbers?

7 and 8

{square root of 49 (7) and square root of 64 (8)}

500

The square root of 25 x the square root of 36 x the square root of 49 divided by the square root of 4 times the square root of 100

5x6x7 / 2x10 = 

10.5

Values

100

Find the value: 

-(-19.8)

19.8

200

What is the absolutely value of a -151

151

300

What is (1/5)³

1/5 * 1/5 * 1/5=

1/5x5x5 = 1/125

400

-|-2| x |10| + (-7)(-3) - 2 =

-2 x 10 + 21 - 2 =

-20 + 19 = 

-1

500

|-19| x 5 - (3+1)²

19 x 5 - 16=

79

Decimals/Fractions

100

3.04 + (-3.05)

0

200

-2.35 + (-2.35) =

-4.23

300

-0.13 - (-1.55)

-0.13 + 1.55=

1.42

400

5 1/3 + (-1.5) =

5 1/3 - 1 1/2=

5 2/6 - 1 3/6 = 

32/6 - 9/6 = 23/6=

3 5/6

500

-3/4 / 0.5

.5/.75

5 goes into 7.5 1 time then 5 goes into 25 5 times

slide the decimal over for an answer of 

1.5