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- Multiply and divide integers
Division follows the same rules as multiplication!
For division of two signed numbers, when the:
- signs are the
same , the quotient is
positive .
- signs are
different , the quotient is
negative .
And remember that we can always check the answer of a division problem by multiplying.
Multiplication and division of signed numbers
For multiplication and division of two signed numbers:
- If the signs are the same, the result is positive.
- If the signs are different, the result is negative.
Same signs |
Result |
Two positives
Two negatives |
Positive
Positive |
If the signs are the same, the result is positive. |
Different signs |
Result |
Positive and negative
Negative and positive |
Negative
Negative |
If the signs are different, the result is negative. |
Simplify expressions with integers
What happens when there are more than two numbers in an expression? The order of operations still applies when negatives are included. Remember My Dear Aunt Sally?
Let’s try some examples. We’ll simplify expressions that use all four operations with integers—addition, subtraction, multiplication, and division. Remember to follow the order of operations.
Simplify:
ⓐ
ⓑ
Solution
-
ⓐ
-
ⓑ
Notice the difference in parts
ⓐ and
ⓑ . In part
ⓐ , the exponent means to raise what is in the parentheses, the
to the
power. In part
ⓑ , the exponent means to raise just the 2 to the
power and then take the opposite.
Got questions? Get instant answers now! Got questions? Get instant answers now!
The next example reminds us to simplify inside parentheses first.
Evaluate variable expressions with integers
Remember that to evaluate an expression means to substitute a number for the variable in the expression. Now we can use negative numbers as well as positive numbers.
Questions & Answers
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Source:
OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
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