Powers & Exponents 2 — Basic Math

Questions in this quiz (10)

1. A weather balloon floats about 45,000 meters above Earth's surface. Write this distance in scientific notation.

   • $$4.5\times10^3$$
   • $$4.5\times10^4$$
   • $$45\times10^4$$
   • $$0.45\times10^5$$

2. A computer processor completes an instruction in: $$4.2\times10^{-6}$$ seconds. How many seconds is this in standard notation?

   • $$0.000042$$
   • $$0.0000042$$
   • $$0.00042$$
   • $$0.0042$$

3. The average distance from Earth to the Moon is about 384,000 kilometers. Write this distance in scientific notation.

   • $$3.84\times10^4$$
   • $$3.84\times10^5$$
   • $$38.4\times10^4$$
   • $$0.384\times10^6$$

4. A microscope can detect objects as small as $$5.8\times10^{-8}$$ meters. Write this measurement in standard notation.

   • $$0.000000058$$
   • $$0.00000058$$
   • $$0.0000058$$
   • $$0.000058$$

5. The table shows common measurement equivalents.What is the number of feet in one yard, written in scientific notation?

   • $$0.3\times10^1$$
   • $$3\times10^1$$
   • $$3\times10^0$$
   • $$30\times10^{-1}$$

6. The table shows common measurement equivalents.A package weighs 8 pounds. Which expression could be used to find its weight in kilograms?

   • $$8\times0.454$$
   • $$8\times4.54$$
   • $$8\div0.454$$
   • $$0.454\div8$$

7. A bacteria culture doubles every hour. If it starts with 40 bacteria, how many bacteria are present after 5 hours?

   • $$160$$
   • $$640$$
   • $$1{,}280$$
   • $$1{,}600$$

8. Simplify: $$\frac{7^5}{7^2}$$

   • $$7^7$$
   • $$7^3$$
   • $$7^2$$
   • $$5^7$$

9. Simplify: $$3^2\cdot3^4$$

   • $$3^6$$
   • $$3^8$$
   • $$9^6$$
   • $$6^3$$

10. $$\frac{4^3-\left[3\left(12+2^2\right)\right]}{6+5(4)-15}$$What is the value of the following expression?

    • $$\frac{3}{4}$$
    • $$\frac{3}{16}$$
    • $$\frac{5}{4}$$
    • $$\frac{16}{11}$$