IXL | Complete addition and subtraction equations with integers

Type the integer that makes the following addition sentence true:

+ ^–2 = ^–9

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Learn with an example

question

Type the integer that makes the following addition sentence true:

^–6 + = ^–12

solution

You want to find the number that makes the addition sentence true.

Later on, you'll learn another way of solving problems like this, but for now, there is a helpful shortcut that you can use. Look at the two numbers and ignore their signs. They are 6 and 12. Now find their sum and difference. To find the sum, add 6 and 12 to get 18. To compute the difference, subtract the smaller number, 6, from the larger number, 12, to get 6.

Now you have two numbers to try: 18 and 6. If you make these two numbers negative, you'll have another two numbers to try: ^–18 and ^–6. The correct answer will be one of these four numbers.

Try 18:

^–6 + 18 = 12

Try 6:

^–6 + 6 = 0

Try ^–18:

^–6 + ^–18 = ^–24

Try ^–6:

^–6 + ^–6 = ^–12

The number ^–6 makes the number sentence true, so the correct answer is ^–6.

Looking for more? Try these:

Lesson: Adding and subtracting integers

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Teacher tools

Work it out

Not feeling ready yet? These can help:

B.4Add integers

B.9Subtract integers

Lesson: Adding and subtracting integers

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