8th Grade Math Test Prep – Exponents and Scientific Notation

8th Grade Math Test Prep – Exponents and Scientific Notation

8th grade math · test prep · state test style

1. Multiple choice. Circle the correct answer.

1. 0.00032 in scientific notation is

a) 3.2 × 10⁻⁴b) 3.2 × 10⁻³c) 3.2 × 10⁴d) 32 × 10⁻³

2. ∛27 − ∛8 =

a) 5b) 1c) ∛19d) 19

3. 5⁴ × 2⁴ =

a) 10⁸b) 7⁸c) 7⁴d) 10⁴

4. (3²)³ is equal to

a) 3⁸b) 9⁵c) 3⁶d) 3⁵

5. What is the value of 2⁵ × 2³ ÷ 2⁴?

a) 2¹²b) 2²c) 2⁴d) 2⁶

6. √50 is between which two whole numbers?

a) 6 and 7b) 7 and 8c) 8 and 9d) 24 and 26

2. Circle T if the sentence is true or F if it is false.

The square of any negative number is positive.TF

√2 is a rational number.TF

2 × 10⁵ is greater than 9 × 10⁴.TF

x⁰ = 1 for every number x that is not 0.TF

√(9 + 16) = √9 + √16TF

3. Open response. Show your work and write the answer.

Find the value of (2⁶ × 2²) ÷ 4³ and of √(5² − 4²) + ∛64.

Answer:

The mass of Earth is about 6 × 10²⁴ kg, and the mass of the Moon is about 7.3 × 10²² kg. About how many times greater is the mass of Earth? Round to the nearest whole number.

Answer:

About this worksheet

An exponents test for 8th grade math test prep: the laws of exponents (product, quotient, power of a power, zero and negative exponents), square and cube roots, estimating roots, rational and irrational numbers, and large and small numbers in scientific notation. The questions take the forms of end-of-year state math tests: multiple choice, true or false, and open-response problems with room to show the work. Every print draws other multiple-choice and true-or-false questions in another order, and the answer key marks the right answers.

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