PSAT Math : How to multiply integers

Study concepts, example questions & explanations for PSAT Math

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Example Questions

Example Question #1 : How To Multiply Integers

F=ma in physics whereForce=mass\times acceleration.

If the mass is increased by 3 three times the original and the acceleration is increased by 7 times the original, how many times greater is the new force than the original force?

Possible Answers:

10

21

3

0

7

Correct answer:

21

Explanation:

We simply multiply the new mass by the new acceleration to obtain a new force that is 21 times greater than the original.

Example Question #2 : How To Multiply Integers

An office wants to buy 22 computers at $900 each. The budget is $20,000 and the tax on computers is 9%. How many computers can the office afford?

Possible Answers:

Correct answer:

Explanation:

The office can only afford 20 computers.

1.09 * 900 = $981 is the actual price of each computer, with tax.

Divide:

20,000/981 = 20.39

Since the office cannot purchase a partial computer, we round down to 20 computers.

Example Question #1887 : Psat Mathematics

What property of arithmetic is demonstrated below?

Possible Answers:

Symmetric

Associative

Distributive

Commutative

Transitive

Correct answer:

Distributive

Explanation:

The statements demonstrates that the product of a number and a sum can be found by multiplying the number by each of the addends and adding the products. This is the distributive property of multiplication over addition.

Example Question #3 : How To Multiply Integers

What property of arithmetic is demonstrated here?

Possible Answers:

Associative

Transitive

Symmetric

Commutative

Correct answer:

Associative

Explanation:

The symbols express the idea that if three numbers are multiplied, the same product results regardless of which numbers are multiplied first. This is the associative property of multiplication.

Example Question #4 : How To Multiply Integers

Multiply in modulo 8:

Possible Answers:

None of the other responses is correct.

Correct answer:

Explanation:

In modulo 8 arithmetic, a number is congruent to the remainder of its division by 8.

and

so

making the correct response.

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