McGraw Hill Integrated I, 2012
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McGraw Hill Integrated I, 2012 View details
3. Operations with Integers
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Exercise 1 Page P12

Addition can be thought of as moving to the right on a number line.

5

We want to calculate the sum of the given quantities.

- 8 +13 To do so, remember that addition can be thought of as moving to the right on a number line. Therefore, adding 13 to - 8 is like moving 13 steps to the right of - 8.

Checking Our Answer

We can check our answer by finding the sum of the given quantities in a calculator. Let's check our math!

We obtain the same result as before. Therefore, we were correct!

Extra

Operations with Integers

As we can see, we can apply operations between integers with same or different sign. Let's see what happens in each case.

Sign Operation Result Example
++ Addition Positive sum 4+4=8
- - Addition Negative sum - 4 + (- 8)= - 12
++ Product Negative Product 4(4) = 16
-- Product Positive product (- 4)(- 4)=16
++ Quotient Positive quotient 16/4=4
-- Quotient Positive quotient - 16/- 4=4

We need to be aware when the signs are different. In that case, we will have the following results.

  • If the negative number is greater than the positive number, then their sum will be negative.
  • If the positive number is greater than the negative, then their sum will be positive.
  • The product of quotient of two numbers having different signs will be negative.

For those of you who are interested in learning more about operations with integers, you can read more about them on the following pages.