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# Integers - Working with Negative Numbers

This Math quiz is called 'Integers - Working with Negative Numbers' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.

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This quiz focuses on negative numbers (or integers) which are those less than zero.

Integers are whole numbers. This means any number that is not a decimal or a fraction. For example: the number “25” is an integer but the number “1/2” is not because it is a fraction, nor is “.01” because it is a decimal.

There are two kinds of integers - positive and negative. A positive number is any number with a value of 0 and up. A negative number is a number with a value of less than “0.”

For example, let’s look at the following problem:

17 - 19 = ?

As 19 is a number that is greater than (>) 17 our answer will bring us below the number of “0”. To show that a number is less than “0” a minus symbol “-” is used in front of the integer. So in revisiting the above problem, the answer would look like this:

17 - 19 = -2

The “-2” is a negative integer.

When adding a positive integer with a negative integer it is the same thing as subtracting them. For example: 8 + (-6) = is rewritten as 8 - 6 = 2. To show that an integer is a negative number in a math problem it is surrounded by parentheses.

When subtracting negative integers it is the same thing as adding them. For example 10 - (-5) = is rewritten as 10 + 5 = 15.

When adding a negative integer with another negative integer it is the same as adding positive integers. For example: (-30) + (-20) = 30 + 20 = 50. The minus symbol “-” is then placed before the answer so the answer is -50.

Hint:
Two like signs become a positive (“-” “-” = “+”)
Two unlike signs become a negative (“-” “+” = “-” and “+” “-” = “-”)

1.
23 - (-18) + 15 = ?
20
-20
-56
56
When subtracting a negative integer from a positive integer it is the same as adding them. Therefore, the problem is rewritten as 23 + 18 = 41 + 15 = 56
2.
47 + (-8) + (-20) = ?
75
-19
19
35
Remembering the Order of Operation, when working with addition and subtraction we do the problem going left to right. When adding a positive integer with a negative integer it is the same as subtracting the number so we first have 47 + (-8) which is the same as 47 - 8 = 39. Now we have 39 + (-20) which is the same as 39 - 20 = 19
3.
3 + 11 - 18 = ?
32
-4
4
15
Remembering the Order of Operation, when working with addition and subtraction we do the problem going left to right. That means we should have 3 + 11 = 14 - 18 = -4
4.
199 - (-43) + 37 = ?
279
193
-193
-279
When subtracting a negative integer from a positive integer it is the same as adding them. Therefore, the problem is rewritten as 199 + 43 = 242 + 37 = 279
5.
178 + 67 + 23 - 80 = ?
57
348
-188
188
This is a simple addition/subtraction problem solved (going left to right) as: 178 + 67 = 245 + 23 = 268 - 80 = 188
6.
386 + (-168) + 23 = ?
577
-241
241
-577
Remembering the Order of Operation, when working with addition and subtraction we do the problem going left to right. When adding a positive integer with a negative integer it is the same as subtracting the number so we first have 386 + (-168) which is the same as 386 - 168 = 218. We then add 218 + 23 = 241
7.
12 + (-7) + 11 = ?
16
30
-16
-6
When adding a positive with a negative it is the same as subtraction so 12 + (-7) is the same as 12- 7 = 5. We then have 5 + 11 = 16
8.
(-128) + (-33) = ?
-161
-95
161
95
When adding two or more negative integers it is the same as adding them. (-128) + (-33) is the same as 128 + 33 = 161. A minus symbol is then placed before the answer to show the answer is negative integer -161
9.
52 + 13 - 73 = ?
8
138
-8
-138
Remembering the Order of Operation, when working with addition and subtraction we do the problem going left to right. That means we should have 52 + 13 = 65 - 73 = -8
10.
(-75) + (-35) + (-15) = ?
125
-125
25
-25
When adding two or more negative integers it is the same as adding them. (-75) + (-35) + (-15) is the same as 75 + 35 + 15 = 125. A minus symbol is then placed before the answer to show the answer is negative integer -125
Author:  Christine G. Broome