##### 1. 10^{4} is not equal to which of the following?

- 100,000
- 0.1 x 10
^{5} - 10 x 10 x 10 x 10
- 10
^{2}x 10^{2} - 10,000

##### 2. Multiply 10^{4 }by 10^{2}

- 10
^{8} - 10
^{2} - 10
^{6} - 10
^{-2} - 10
^{3}

##### 3. Divide x^{5 }by x^{2}

- x
^{7} - x
^{4} - x
^{10} - x
^{3} - x
^{2.5}

##### 4. Find 8.23 x 10^{9}

- 0.00000000823
- 0.000000823
- 8.23
- 8230000000
- 823000000000

##### 5. 83,000 equals:

- 83.0 x 10
^{4} - 8.3 x 10
^{4} - 8.3 x 10
^{3} - 83.0 x 10
^{5} - 83.0 x 10
^{2}

##### 6. 0.00875 equals:

- 8.75 x 10
^{-2} - 8.75 x 10
^{-3} - 8.75 x 10
^{-4} - 87.5 x 10
^{-3} - 875 x 10
^{-4}

##### Answers & Explanations

###### 1. A

10^{4}=10^{.}10^{.}10^{.}10, or 10,000.

###### 2. C

When multiplying terms with the same base, the exponents should be added. Thus, 10^{4} ^{.} 10^{2}=10^{6}.

###### 3. D

When dividing terms with the same base, the exponents should be subtracted. Thus, *x*^{5}/*x*^{2} =*x*^{3}.

###### 4. D

The decimal will be moved to the right 9 places. Thus 7 zeros will be added to the right of 823, giving 8,230,000,000.

###### 5. B

Moving the decimal to the right of the digit, 8, gives the equivalent expression, 8.3×10^{4}, since there are 4 digits to the right of the 8.

###### 6. B

Moving the decimal to the right of the 8 gives 8.75×10^{-3}, since the decimal must be moved 3 places to the right.

##### Additional Practice Questions

by Enoch Morrison | Last Updated: October 19, 2018