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Powers, Roots, and Integers

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Mataora Test 1

Part 1: Powers of 10 and Decimals

1. Order these numbers from smallest to largest: 4.2, 4.02, 4.20, 4.002.
2. Write 3.61 in expanded form using powers of 10.

3.61 = ________________________________________________

3. Complete the conversions.

a) 10-3 = ________ = ________

b) 0.01 = ________ = 10______

4. Which statement is true?

−3.4 > −3

−3.4 < −3

−3.4 = −3

Part 2: Roots and Prime Factors

5. Evaluate each root.

a) √49 = ________

b) ∛125 = ________

c) √81 = ________

6. Use a calculator to approximate √20 to one decimal place.

√20 ≈ ________

7. Write 84 as a product of its prime factors using exponents.

84 = ________________________________________________

8. Write the following using radical notation.

a) The square root of 36: ________

b) The cube root of 27: ________

Part 3: Integers and Number Lines

9. Place −2, 1.5, 0, and −3.5 on the number line. Label each point clearly.
10. Calculate each expression.

a) 3 + (−7) = ________

b) −4 − (−6) = ________

c) −2 + 5 = ________

11. Order these numbers from least to greatest: −3.4, −3, −1.2, 0.5.

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