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High School Math : How to multiply and divide integers in pre-algebra

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Example Questions

Example Question #1 : How To Multiply And Divide Integers In Pre Algebra

Solve the expression below.

-5*-3 $\displaystyle -5*-3$

Possible Answers:

$\displaystyle -15$

$\displaystyle -8$

$\displaystyle 15$

$\displaystyle 8$

$\displaystyle 25$

Correct answer:

$\displaystyle 15$

Explanation:

In this case, it is key to recall the rules for multiplying or dividing with negative values.

Negative * Positive = Negative

Negative * Negative = Positive

Positive * Positive = Positive

In this case, we are multiplying two negative numbers; thus the answer should be a positive number. To find the value, we can simply multiply the terms without their negatives.

$\displaystyle -5*-3=5*3=15$

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Example Question #2 : How To Multiply And Divide Integers In Pre Algebra

Simplify:

$\displaystyle (-2y)(3)(-5y)$

Possible Answers:

30y $\displaystyle 30y$

21y^2 $\displaystyle 21y^2$

-30y^2 $\displaystyle -30y^2$

30y^2 $\displaystyle 30y^2$

-21y^2 $\displaystyle -21y^2$

Correct answer:

30y^2 $\displaystyle 30y^2$

Explanation:

First multiply all the numbers $(2 \cdot 3 \cdot 5)$ $\displaystyle (2 \cdot 3 \cdot 5)$.

If there is an even amount of negative signs, then the product will be positive. If there is an odd amount of negative signs, then the product will be negative.

$y\cdot y=y^{2}$ $\displaystyle y\cdot y=y^{2}$

Therefore, the answer is 30y^2 $\displaystyle 30y^2$.

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Example Question #71 : High School Math

Combine like terms for the simplest form:

$\displaystyle 2x*3y-2y+3x=0$

Possible Answers:

6x*y=0 $\displaystyle 6x*y=0$

6xy=0 $\displaystyle 6xy=0$

$\displaystyle 6xy-2y+3x=0$

$\displaystyle 6xy-5xy=0$

$\displaystyle 2x*3y-2y+3x=0$

Correct answer:

$\displaystyle 6xy-2y+3x=0$

Explanation:

First multiply according to order of operations to get 6xy, and then see if there are like terms to be combined. In this case, there are not so the simplest form is $\displaystyle 2x*3y-2y+3x=0$

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Example Question #72 : High School Math

All of the following numbers are prime EXCEPT:

Possible Answers:

401

349

421

347

427

Correct answer:

427

Explanation:

A number is prime if it is divisible by only itself and one. Thus, if a number is divisible by anything else, it can't be prime. Of the answer choices, only 427 isn't prime, because it is divisible by 7.

To figure out which number is prime, one strategy you could employ is using your calculator and dividing each choice by 3, 7, 9, 11, and 13. Because all of the answer choices are odd, we know none of them will be divisible by 2, 4, 6, 8, or 10. Also, none of them have a 0 or 5 in the ones place, so they can't be divisible by 5. Thus, the best numbers to try would be 3, 7, 9, 11, and 13. When you divide 427 by 7, you will get a whole number. For all the other answer choices, when you divide by 3, 7, 9, 11, and 13, you will never get a whole number.

The answer is 427.

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Example Question #3 : How To Multiply And Divide Integers In Pre Algebra

Simplify the following expression.

$(-3) \cdot (2)$ $\displaystyle (-3) \cdot (2)$

Possible Answers:

$\displaystyle 5$

$\displaystyle 6$

$\displaystyle 9$

$\displaystyle -6$

$\displaystyle -5$

Correct answer:

$\displaystyle -6$

Explanation:

Recall that the product of a negative number and a positive number is a negative number. Thus, we know that our answer will be a negative number. We then consider the product of the numbers, ignoring the sign. We know that $3\cdot2 = 6$ $\displaystyle 3\cdot2 = 6$. Then, we have that our final answer is $\displaystyle -6$.

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Example Question #71 : High School Math

Simplify: $\frac{24}{-6}$ $\displaystyle \frac{24}{-6}$

Possible Answers:

$\displaystyle -4$

$\displaystyle 8$

$\displaystyle 4$

$\displaystyle -8$

$\displaystyle 3$

Correct answer:

$\displaystyle -4$

Explanation:

We know that dividing a positive integer and a negative integer will give us a negative integer. We thus consider the numbers themselves, without the sign.

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

Add a negative sign to find our answer is $\displaystyle -4$.

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Example Question #74 : High School Math

Find the product of $\displaystyle 4$ and $\displaystyle -5$.

Possible Answers:

$\displaystyle -1$

$\displaystyle 1$

0.8 $\displaystyle 0.8$

$\displaystyle -20$

$\displaystyle 20$

Correct answer:

$\displaystyle -20$

Explanation:

The word product indicates multiplication. Thus, we remember that when we multiply a positive number by a negative number we get a negative number.

$\displaystyle 4(-5) = -20$

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High School Math : How to multiply and divide integers in pre-algebra

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #1 : How To Multiply And Divide Integers In Pre Algebra

Example Question #2 : How To Multiply And Divide Integers In Pre Algebra

Example Question #71 : High School Math

Example Question #72 : High School Math

Example Question #3 : How To Multiply And Divide Integers In Pre Algebra

Example Question #71 : High School Math

Example Question #74 : High School Math

All High School Math Resources

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