The Real Number System Review

Rational and Real Numbers

10

Write 4/5 as a decimal.

0.2

20

Write -6 13/15 as a decimal.

-6.86 (6 repeating)

30

Write -1.55 as a mixed number in simplest form.

-1 11/20

40

Name all sets to which the number 14 belongs.

natural, whole, integer, rational, real

50

Order the following numbers from least to greatest: the square root of 5, the square root of 6, 2.5, 2.55, 7/3

the square root of 5, 7/3, the square root of 6, 2.5, 2.55

Laws of Exponents

10

Simplify (2g²)(7g⁶)

14g⁸

20

Simplify 36d¹⁰/6d^-4

6d¹⁴

30

Simplify (m⁵)⁵

m²⁵

40

Simplify (14y)⁴

38,416y⁴

50

Simplify (12d⁶e⁵)²

144d¹²e¹⁰

Exponents

10

Write (s)(s)(s)(s)(s) as a power.

s⁵

20

Evaluate (-5)³

-125

30

Write (4)(4)(r)(r)(t)(t)(t) using exponents

4²r²t³ or 16r²t³

40

Write f^-3 using positive exponents.

1/f³

50

Write 1/121 using negative exponents other than -1.

11^-2

Scientific Notation

10

Write 4.67 x 10⁷ in standard form.

46,700,000

20

Write 1.297 x 10^-3 in standard form.

0.001297

30

Write 849000 in scientific notation.

8.49 x 10⁵

40

Write 0.00000543 in scientific notation

5.43 x 10^-6

50

Evaluate (3.24 x 10^-4)/(8.1 x 10^-7)

4 x 10² or 400

Roots

10

Find the negative square root of 9/64.

-3/8

20

Find the square root of -25

No solution

30

Find the cube root of -343

-7

40

Estimate the positive square root of 58 to the nearest integer.

8

50

Estimate the cube root of 430 to the nearest integer.

8