Mathematics 3

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Homework Assignment for MTH 125 Week 3 July 27, 2021

Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers th e question.

Decide whether the expression has been simplified correctly.

1) = 1) _______

A) No B) Yes

2) = a 2) _______

A) Yes B) No

Apply the product rule for exponents, if possible.

3) ∙ 3) _______

A) B) C) D)

4) ∙ ∙ 4) _______

A) B) C) D)

Evaluate the expression.

5) 5) _______

A) 13 B) -1 C) 0 D) 1

6) 6) _______

A) 0 B) -1 C) -8 D) 1

Write the expression with only positive exponents. Assume all variables represent nonzero numbers. Simplify if

necessary.

7) 7) _______

A) - B) C) D) -

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8) 8) _______

A) - B) - C) D) -

Evaluate the expression.

9) 9) _______

A) B) C) D)

10) 10) ______

A) 9 B) -9 C) -3 D) 3

Apply the quotient rule for exponents, if applicable, and write the result using only positive exponents. Assume all

variables represent nonzero numbers.

11) 11) ______

A) B) C) - D)

12) 12) ______

A) B) C) D)

Simplify the expression. Write your answer with only positive exponents. Assume that all variables represent nonzero

real numbers.

13) 13) ______

A) B) C) D)

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14) 14) ______

A) B) C) - D)

Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent

nonzero numbers.

15) 15) ______

A) B) C) D)

16) 16) ______

A) B) C) D)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Provide an appropriate response.

17) For what values, if any, of x (x ≠ 0) and n will be a negative number? 17) _____________

18) If x ≠ 0, explain the simplification of . 18) _____________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Express the number in scientific notation.

19) 845.3 19) ______

A) 8.453 × B) 8.453 × C) 8.453 × D) 8.453 ×

20) 5,982,330 20) ______

A) 5.98233 × B) 5.98233 × C) 5.98233 × D) 5.98233 ×

Express the number in standard notation.

21) 2.50 × 21) ______

A) 2,500,000 B) 125 C) 250,000 D) 25,000

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22) 1.090 × 22) ______

A) 1,090,000 B) 109,000 C) 54.5 D) 10,900

Find the value of the expression.

23) 23) ______

A) 0.003 B) 30 C) 0.0003 D) 0.03

24) 24) ______

A) 0.04 B) 0.004 C) 40,000 D) 0.4

Solve the problem. Express your answer in scientific notation, rounding as needed.

25) The national debt of a small country is $ 6,460,000,000 and the population is 2,586,000. What is the amount of debt per

person? 25) ______

A) $ 2.50 × B) $ 2.50 × C) $ 2.50 × D) $ 2.50 ×

26) The earth is approximately 92,900,000 miles from the sun. × 103 m, what is the distance to the sun in

meters? 26) ______

A) 1.50 × mB) 5.7 × m C) 1.50 × m D) 5.7 × m

Find the result that a calculator will give for the stated problem. Write your answer using the usual scientific notation.

27) ( 1.5E 15)∗( 5E-9) 27) ______

A) 7.5 × B) -7.5 × C) 7.5 × D) 7.5 ×

Provide an appropriate response.

28) In scientific notation, what is the largest integer which can be multiplied by a power of 10? 28) ______

A) 1 B) -9 C) 9 D) 10

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29) In scientific notation, what is the smallest positive integer which can be multiplied by a power of 10? 29) ______

A) 1 B) -9 C) -1 D) 0

30) Does scientific notation allow a negative number to be multiplied by a power of 10? 30) ______

A) Yes B) No