Integer Operations: Addition, Subtraction, Multiplication
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Questions and Answers

What is the result of adding the integers 42 and -13?

29

When adding -132 and -112, what is the sum?

-244

If you have the integers +33 and +86, what will be their total when added together?

119

What do you get when you simplify 16 + (-11) + (-17)?

<p>-12</p> Signup and view all the answers

What is the result of adding 57 and -66?

<p>-9</p> Signup and view all the answers

When simplifying the expression 78 + (-75) + (-33) + 45, what do you find?

<p>15</p> Signup and view all the answers

How would you calculate -115 + (-122)?

<p>-237</p> Signup and view all the answers

What is the total when you calculate 52 + 35 + (-53) + (-37)?

<p>-3</p> Signup and view all the answers

What integer do you obtain from the expression 68 + (-32)?

<p>36</p> Signup and view all the answers

What do you get when you simplify the expression -128 + 96 + (-90) + 132?

<p>10</p> Signup and view all the answers

What is the product of (-5) and (-7)?

<p>35</p> Signup and view all the answers

Calculate the result of 8 multiplied by (-4).

<p>-32</p> Signup and view all the answers

What is (-7) multiplied by 3?

<p>-21</p> Signup and view all the answers

Determine the product of (-9) and (-4).

<p>36</p> Signup and view all the answers

What do you get when you multiply 5 by (-8)?

<p>-40</p> Signup and view all the answers

Calculate (-20) multiplied by (-2).

<p>40</p> Signup and view all the answers

What is the result of (-7) multiplied by (-4)?

<p>28</p> Signup and view all the answers

Find the result of 5 multiplied by (-7).

<p>-35</p> Signup and view all the answers

Determine (-12) multiplied by (-3).

<p>36</p> Signup and view all the answers

Calculate the result of (-6) multiplied by 6.

<p>-36</p> Signup and view all the answers

What is 3 multiplied by (-13)?

<p>-39</p> Signup and view all the answers

What is the result of multiplying (-2) by (-16)?

<p>32</p> Signup and view all the answers

What is the product of (+11) and 3?

<p>33</p> Signup and view all the answers

What is the result of dividing a positive integer by a negative integer?

<p>The result is a negative integer.</p> Signup and view all the answers

Calculate the result of the expression: 32 ÷ 4.

<p>The result is 8.</p> Signup and view all the answers

What result do you get when dividing (-60) by (-12)?

<p>The result is 5.</p> Signup and view all the answers

What happens when you divide an integer by zero?

<p>The operation is undefined.</p> Signup and view all the answers

If you divide (-72) by (-8), what is the result?

<p>The result is 9.</p> Signup and view all the answers

Evaluate the expression: 50 ÷ 5 ÷ (-2).

<p>The result is -5.</p> Signup and view all the answers

What is the result of (-81) ÷ 9?

<p>-9.</p> Signup and view all the answers

Simplify the expression: 48 ÷ (-4) ÷ (-3) ÷ 2.

<p>The result is 2.</p> Signup and view all the answers

What is the general result when multiplying any integer by -1?

<p>The result is the additive inverse of that integer.</p> Signup and view all the answers

Calculate the outcome of the expression: 320 ÷ 20.

<p>The result is 16.</p> Signup and view all the answers

What do you get when you divide (-99) by 11?

<p>-9.</p> Signup and view all the answers

If you multiply -6 by 12, what is the result?

<p>-72.</p> Signup and view all the answers

Evaluate the expression: 36 ÷ (-3) ÷ 6.

<p>-2.</p> Signup and view all the answers

What is the result of dividing two positive integers?

<p>The result is a positive integer.</p> Signup and view all the answers

Flashcards

Adding positive integers

Adding two positive integers always results in a positive integer.

Adding negative integers

Adding two negative integers always results in a negative integer.

Adding integers with different signs

To add integers with different signs, subtract their absolute values and use the sign of the integer with the larger absolute value.

Subtracting integers

To subtract integers, change the operation to addition and follow the rules for adding integers.

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1-step integer addition

Combining integers in one step, following the rules for adding integers with the same or different signs.

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Multi-step integer addition

Adding several integers successively.

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Absolute value

The absolute value of a number is its distance from zero. It is always positive or zero.

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Integer Addition Rules

Two or more numbers combined using the plus sign (+). There are different rules depending if the numbers are positive or negative numbers.

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Integer Subtraction Rules

Two numbers combined using the subtraction sign (-), rewritten as addition with the opposite sign of the second number, then the rules of adding integers apply.

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Simplify integer expressions

Combining numbers by simplifying each step in addition or subtraction using the rules.

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Dividing positive integers

Results in a positive integer.

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Dividing negative integers

Results in a positive integer.

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Dividing integers with different signs

Results in a negative integer.

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15 ÷ (-3)

-5

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(-49) ÷ 7

-7

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(-66) ÷ (-6)

11

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32 ÷ 4

8

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(-81) ÷ 9

-9

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(-60) ÷ (-12)

5

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72 ÷ (-8)

-9

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(-99) ÷ 11

-9

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(-120) ÷ (-15)

8

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320 ÷ 20

16

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28 ÷ (-7) ÷ (-2)

2

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50 ÷ 5 ÷ (-2)

-5

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48 ÷ (-4) ÷ (-3) ÷ 2

4

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Multiplying integers with same signs

When you multiply two integers with the same sign, the product is positive.

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Multiplying integers with different signs

When you multiply two integers with different signs, the product is negative.

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Integer Multiplication

Multiplying integers involves finding the product of two or more whole numbers, including positive and negative numbers.

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Multiplication of -5 x -4

Multiplying -5 by -4 results in 20 (two negative signs result in a positive result).

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Multiplication of 8 x -4

Multiplying 8 by -4 results in -32 (different sign results in a negative product).

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Multiplication of -7 x 3

Multiplying -7 by 3 results in -21 (different sign results in a negative product).

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Multiplication of -9 x -4

Multiplying -9 by -4 results in 36 (two negative signs result in a positive product).

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Multiplication of 5 x -8

Multiplying 5 by -8 results in -40 (different signs result in a negative product).

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-20 x -2

Multiplication of -20 and -2 results in 40. (same sign, positive answer)

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-7 x -4

Multiplication of -7 and -4 equals 28 (same signs, positive answer).

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5 x -7

5 multiplied by -7 equals -35 (different signs, negative answer).

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9 x -3

9 multiplied by -3 equals -27 (different signs, negative answer).

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-12 x -3

-12 multiplied by -3 equals 36 (same signs, positive answer).

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Study Notes

Adding and Subtracting Integers

  • To add integers with the same sign, add the numbers and keep the sign.
  • To add integers with different signs, subtract the numbers and use the sign of the larger number.
  • To subtract integers, change the subtraction sign to addition and change the sign of the second number.
  • Then follow the addition rules.

Multiplying Integers

  • Multiplying two positive integers results in a positive integer.
  • Multiplying two negative integers results in a positive integer.
  • Multiplying a positive integer by a negative integer results in a negative integer.

Dividing Integers

  • Dividing two positive integers results in a positive integer.
  • Dividing two negative integers results in a positive integer.
  • Dividing a positive integer by a negative integer results in a negative integer.
  • Dividing a negative integer by a positive integer results in a negative integer.

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Grade 7 Math: Adding Integers PDF

Description

Test your knowledge on the fundamental operations of integers including addition, subtraction, multiplication, and division. This quiz covers rules for handling integers with the same and different signs, as well as the outcomes of integer multiplication and division. Perfect for students learning the basics of arithmetic!

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