Algebra 1 : Integer Operations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #101 : Integer Operations

\displaystyle -4*18

Possible Answers:

\displaystyle -42

\displaystyle -46

\displaystyle 22

\displaystyle -72

\displaystyle 14

Correct answer:

\displaystyle -72

Explanation:

When multiplying a negative number and a positive number, our answer is negative. We just multiply normally. Answer is \displaystyle -72.

Example Question #102 : Integer Operations

\displaystyle -18*0

Possible Answers:

\displaystyle 18

\displaystyle 8

\displaystyle 12

\displaystyle 0

\displaystyle -18

Correct answer:

\displaystyle 0

Explanation:

Regardless if the number is positive or negative, anything multipled by zero is always zero. So \displaystyle -18*0=0

Example Question #103 : Integer Operations

\displaystyle -5*-8

Possible Answers:

\displaystyle -40

\displaystyle 20

\displaystyle 58

\displaystyle 13

\displaystyle 40

Correct answer:

\displaystyle 40

Explanation:

When multiplying two negative numbers, the answer is positive. Then multiply normally. Answer is \displaystyle 40.

Example Question #104 : Integer Operations

\displaystyle -12*-11

Possible Answers:

\displaystyle -132

\displaystyle 23

\displaystyle -112

\displaystyle 132

\displaystyle 122

Correct answer:

\displaystyle 132

Explanation:

When multiplying two negative numbers, the answer is positive. Then multiply normally. Answer is \displaystyle 132.

Example Question #105 : Integer Operations

\displaystyle -2*5*7

Possible Answers:

\displaystyle 70

\displaystyle 10

\displaystyle -19

\displaystyle -70

\displaystyle -40

Correct answer:

\displaystyle -70

Explanation:

When multiplying with more than two integers, we count the number of negative signs. Since there is one, that means our answer is going to be negative. We multiply from left to right. Answer is \displaystyle -70.

Example Question #106 : Integer Operations

\displaystyle -3*4*8

Possible Answers:

\displaystyle -86

\displaystyle -56

\displaystyle 66

\displaystyle -96

\displaystyle 56

Correct answer:

\displaystyle -96

Explanation:

When multiplying with more than two integers, we count the number of negative signs. Since there is one, that means our answer is going to be negative. We multiply from left to right. Answer is \displaystyle -96.

Example Question #107 : Integer Operations

\displaystyle -3*-5*8

Possible Answers:

\displaystyle -80

\displaystyle -120

\displaystyle 80

\displaystyle 64

\displaystyle 120

Correct answer:

\displaystyle 120

Explanation:

When multiplying with more than two integers, we count the number of negative signs. Since there are two, that means our answer is going to be positive. We multiply from left to right. Answer is \displaystyle 120.

Example Question #108 : Integer Operations

\displaystyle -6*-7*-8

Possible Answers:

\displaystyle 126

\displaystyle -336

\displaystyle 96

\displaystyle -104

\displaystyle 336

Correct answer:

\displaystyle -336

Explanation:

When multiplying with more than two integers, we count the number of negative signs. Since there are three, that means our answer is going to be negative. We multiply from left to right. Answer is \displaystyle -336.

Example Question #109 : Integer Operations

\displaystyle -4*-8*2

Possible Answers:

\displaystyle 24

\displaystyle -64

\displaystyle 32

\displaystyle -16

\displaystyle 64

Correct answer:

\displaystyle 64

Explanation:

When multiplying with more than two integers, we count the number of negative signs. Since there are two, that means our answer is going to be positive. We multiply from left to right. Answer is \displaystyle 64.

Example Question #110 : Real Numbers

Multiply:  \displaystyle 12\times 18

Possible Answers:

\displaystyle 116

\displaystyle 206

\displaystyle 196

\displaystyle 216

\displaystyle 226

Correct answer:

\displaystyle 216

Explanation:

First multiply the \displaystyle 12 with the ones digit of the second number, \displaystyle 8.

\displaystyle 12\times 8

Multiply the ones digit.

\displaystyle 2\times 8 = 16

The carryover is the tens place since we have a number that is 10 or greater.

Multiply the tens digit with the eight, and add the carryover, \displaystyle 1.

\displaystyle 1\times 8 +(1) = 9

The first line, by multiplying \displaystyle 12\times 8, is \displaystyle 96.

Skip a line and add a zero as a placeholder for the ones digit.

Multiply the \displaystyle 12 with the tens digit of the second number, \displaystyle 1.

\displaystyle 12\times 1 = 12

Combine this number in front of the zero placeholder.  We will be adding the two numbers from the first and second line.

We should have:

\displaystyle 96+120

Add the two numbers.

The answer is:  \displaystyle 216

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