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Pre-Algebra : Operations and Properties

Study concepts, example questions & explanations for Pre-Algebra

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11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #20 : Multiplication And Division

-4*-7*9

Possible Answers:

252

256

Correct answer:

252

Explanation:

We have two negative numbers and one positive number. We multiply from left to right. Two negative numbers multiplied make a positive number. Two positive numbers multiplied is also positive.

$-4\cdot -7=28$

Now the expression becomes,

$28\cdot 9$

Answer is 252 .

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Example Question #201 : Operations

-6*-5*-4*3

Possible Answers:

120

360

Correct answer:

Explanation:

We have three negative numbers and one positive number. We multiply from left to right. Two negative numbers multiplied makes a positie number. However, that positive number multiplied by a negative number is a negative number. The same applied when multipled with a positive number.

$-6\cdot -5=30$

Now our expression becomes,

$30\cdot -4\cdot 3$

$30\cdot -4=-120$ .

Finally the expression becomes,

$-120\cdot 3=-360$ .

Our answer is .

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Example Question #21 : Multiplication And Division

$95\div 19$

Possible Answers:

Correct answer:

Explanation:

The numbers are positive. We just divide.

$\frac{95}{19}=\frac{5\cdot 19}{19}=5$

Answer is .

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Example Question #22 : Multiplication And Division

$-24\div 6$

Possible Answers:

Correct answer:

Explanation:

We have one positive and one negative number. When divided, our answer is negative.

$\frac{-24}{6}=\frac{-4\cdot 6}{6}=-4$

The quotient is .

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Example Question #23 : Multiplication And Division

$-204\div -12$

Possible Answers:

Correct answer:

Explanation:

We have two negative numbers. When divided, the answer is positive.

$\frac{-204}{-12}=\frac{-12\cdot 17}{-12}=17$

The quotient is .

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Example Question #24 : Multiplication And Division

$400\div -20\div 10$

Possible Answers:

Correct answer:

Explanation:

We have two positive numbers and one negative number. We work from left to right. When a positive number is divided by a negative number, the answer is a negative number. The same applied when divided by a positive number.

$\frac{400}{-20}=\frac{20\cdot 20}{-20}=-20$

Now the expression becomes,

$-20\div10$

$\frac{-20}{10}=\frac{-2\cdot 10}{10}=-2$ .

Answer is .

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Example Question #26 : Multiplication And Division

$12*15\div6$

Possible Answers:

Correct answer:

Explanation:

When facing different operations, we will work from left to right since in PEMDAS, multiplication and division has no priority.

$12\\ \underline{\times\ 15}$

$\underline{+120}$

180

The product is 180 .

$\frac{180}{6}=\frac{30\cdot 6}{6}=30$

The quotient is then which is our final answer.

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Example Question #27 : Multiplication And Division

$-12*33 \div -4$

Possible Answers:

Correct answer:

Explanation:

When facing different operations, we will work from left to right since in PEMDAS, multiplication and division has no priority. We have two negative numbers and one positive number. We will get a negative number when a positive number and negative number multiply.

$\\-12\\\underline{ \times 33}$

$\underline{+360}$

That answer is -396.

Then, when two negative numbers are divided, we get a positive number.

$\frac{-396}{-4}=\frac{99\cdot -4}{-4}=99$

That answer is which is our final answer.

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Example Question #202 : Operations

Fill in the blank.

$7 \cdot \square = 28$

Possible Answers:

Correct answer:

Explanation:

When solving this problem, we must think "what times 7 will give us 28?" In this case,

$7 \cdot 4 = 28$ .

When we don't know the value of something, we can replace it with a variable. So,

$7 \cdot \square = 28$

can be written as

$7 \cdot x = 28$

Then, we solve for x. We divide both sides by 7.

$\frac{7 \cdot x}{7} = \frac{28}{7}$

x = 4

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Example Question #24 : Multiplication And Division

Solve:

34*12

Possible Answers:

398

408

418

Correct answer:

408

Explanation:

Since we are multiplying with two positive numbers, our answer will be positive. Answer is 408 .

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Pre-Algebra : Operations and Properties

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #20 : Multiplication And Division

Example Question #201 : Operations

Example Question #21 : Multiplication And Division

Example Question #22 : Multiplication And Division

Example Question #23 : Multiplication And Division

Example Question #24 : Multiplication And Division

Example Question #26 : Multiplication And Division

Example Question #27 : Multiplication And Division

Example Question #202 : Operations

Example Question #24 : Multiplication And Division

All Pre-Algebra Resources

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