Unit 2: Exponents, Real Numbers & Scientific Notation

Multiple Choice

1. Evaluate:

$$4^2\cdot4^2$$

• A. $$16^4$$

• B. 256

• C. 1

• D. 65,536

Multiple Choice

2. Evaluate: $$\frac{3^7}{3^5}$$

• A. 36

• B. $$\frac{1}{9}$$

• C. 9

• D. $$3^{12}$$

Multiple Choice

3. Evaluate: $$4^{-3}$$

• A. 64

• B. -64

• C. -12

• D. $$\frac{1}{64}$$

Multiple Choice

4. Evaluate: $$58^0$$

• A. 1

• B. 58

• C. 0

• D. -58

Multiple Choice

5. Evaluate: $$\sqrt[]{100}$$

• A. 10

• B. 50

• C. 25

• D. 98

Multiple Choice

6. Evaluate: $$\sqrt[3]{64}$$

• A. 10

• B. 8

• C. 21.3

• D. 4

Multiple Choice

7. Find the value of x:

$$x^2=16$$

• A. ±4

• B. ±8

• C. 4

• D. 8

Multiple Choice

8. Find the value of x:

$$x^3=-8$$

• A. ±4

• B. ±2

• C. -2

• D. -4

Multiple Choice

9. What is $$6.79\times10^5$$ written in standard form?

• A. 67,900,000

• B. 679,000

• C. 0.00000679

• D. 0.0000679

Multiple Choice

10. The width of a human hair is approximately 0.0002 in.

What is this width written in scientific notation?

• A. $$2x10^3$$ in.

• B. $$2x10^{-3}$$ in.

• C. $$2x10^4$$ in.

• D. $$2x10^{-4}$$ in.

Multiple Choice

11. Evaluate: $$(6.7\times10^4)\times(9.1\times10^6)$$

• A. $$6.097x10^{11}$$

• B. $$6.097x10^{10}$$

• C. $$6.097x10^9$$

• D. $$60.97x10^{10}$$

Multiple Choice

12. How many times larger is $$(5.4\times10^6)$$ than $$(9\times10^3)$$ ?

• A. $$0.6x10^3$$

• B. $$6x10^3$$

• C. $$6x10^2$$

• D. $$6x10^4$$

Multiple Choice

13. Subtract: $$(3.4\times10^5)-(2.1\times10^4)$$

• A. $$3.19x10^3$$

• B. $$3.19x10^5$$

• C. $$1.3x10^1$$

• D. $$1.3x10^5$$

Multiple Choice

14. Add: $$12,000+(3.4\times10^5)$$

• A. $$4.6x10^5$$

• B. $$4.6x10^9$$

• C. $$3.52x10^5$$

• D. $$3.52x10^3$$

Multiple Choice

15. Which value would be the most likely measurement of the distance from the earth to the moon?

• A. $$1.3x10^9$$ ft.

• B. $$1.3x10^{100}$$ ft.

• C. $$1.3x10^{-9}$$ ft.

• D. $$1.3x10^2$$ ft.

Multiple Choice

16. The display on a calculator reads $$9.378\ E-5$$ .

Which value does this represent?

• A. 937,800,000

• B. 937,800

• C. 0.00009378

• D. 0.000009378

Multiple Choice

17. Which of the following numbers is irrational?

• A. $$45.8$$

• B. $$\sqrt{50}$$

• C. $$\sqrt{100}$$

• D. $$0.\overline{16}$$

Multiple Choice

18. Which of the following numbers is rational?

• A. $$\pi$$

• B. $$\sqrt{2}$$

• C. $$4.567\dots$$

• D. $$23$$

Multiple Choice

19. What is $$0.\overline{5}$$ in fraction form?

• A. $$\frac{1}{2}$$

• B. $$\frac{1}{5}$$

• C. $$\frac{5}{9}$$

• D. $$\frac{5}{10}$$

Multiple Choice

20. Which point shows the approximate value of $$\sqrt{40}$$ on the number line on the left?

• A. Point A

• B. Point B

• C. Point C

• D. Point D

Multiple Choice

21. Which number line best represents the locations of 2𝜋 and $$\sqrt[]{38}$$ ?

Multiple Choice

22. Haley was attempting to classify the two groups of numbers shown below. Which titles would be most appropriate for the groups?

• A. 1: Rational Numbers

  2: Irrational Numbers

• B. 1: Rational Numbers

  2: Real Numbers

• C. 1: Real Numbers

  2: Imaginary Numbers

• D. 1: Whole Numbers

  2: Square Roots