Pre-Algebra : Multiplication and Division

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #31 : Multiplication And Division

Solve:

\displaystyle -34*-14

Possible Answers:

\displaystyle -486

\displaystyle -476

\displaystyle 356

\displaystyle -274

\displaystyle 476

Correct answer:

\displaystyle 476

Explanation:

When multiplying with two negative numbers, our answer becomes positive. THe product is \displaystyle 476.

Example Question #32 : Multiplication And Division

Solve:

\displaystyle 588\div4

Possible Answers:

\displaystyle 137

\displaystyle 157

\displaystyle 127

\displaystyle 167

\displaystyle 147

Correct answer:

\displaystyle 147

Explanation:

When dividing with two positive numbers, our answer is positive. We divide normally. Answer is \displaystyle 147.

Example Question #33 : Multiplication And Division

Solve:

\displaystyle 780\div-12

Possible Answers:

\displaystyle 65

\displaystyle 55

\displaystyle 75

\displaystyle -75

\displaystyle -65

Correct answer:

\displaystyle -65

Explanation:

When dividing a positive number and a negative number, our answer is negative. The quotient is \displaystyle -65.

Example Question #34 : Multiplication And Division

Solve:

\displaystyle -832\div-32

Possible Answers:

\displaystyle 26

\displaystyle 36

\displaystyle -36

\displaystyle 28

\displaystyle -28

Correct answer:

\displaystyle 26

Explanation:

When two negative numbers are being divided, our answer is positive. The quotient is \displaystyle 26.

Example Question #216 : Operations

Evaluate the following expression:

\displaystyle (18*6)\div3

Possible Answers:

\displaystyle 20

\displaystyle 33

\displaystyle 36

\displaystyle 108

Correct answer:

\displaystyle 36

Explanation:

Evaluate the following expression:

\displaystyle (18*6)\div3

Let's begin by doing the portion within the parentheses:

\displaystyle 18*6=(10+8)*6=10*6+8*6=60+48=108

Next, let's do our last step

\displaystyle 108\div3=36

We can double check this by multiplying:

\displaystyle 36*3=30*3+6*3=90+18=108

So our answer is indeed, 36.

Example Question #35 : Multiplication And Division

Reduce the fraction \displaystyle \frac{18}{24}.

Possible Answers:

\displaystyle \frac{27}{36}

\displaystyle \frac{3}{4}

\displaystyle \frac{5}{8}

\displaystyle \frac{9}{12}

Correct answer:

\displaystyle \frac{3}{4}

Explanation:

To reduce any fraction, you must find the greatest common factor (GCF) of both the numerator and denominator. In this case, the biggest number that can be divided into both 18 and 24 evenly is 6. Divide both 18 and 24 by 6 to solve.

\displaystyle \frac{18}{6}=3

\displaystyle \frac{24}{6}=4

The solution is \displaystyle \frac{3}{4}.

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