Exercise 11 Page p12

We want to calculate the quotient of the given quantities.

60 \div 12

To do so, remember that when we divide real numbers, the quotient will be positive if the signs are the same and it will be negative if the signs are different.

\underline{Same Sign} (+) \div (+) = (+) (-) \div (-) = (+) \underline{Different Signs} (+) \div (-) = (-) (-) \div (+) = (-)

In our case both numbers are positive, so the quotient will be positive.

60 \div 12

CalcQuot

Calculate quotient

5

Checking Our Answer

We can check our answer by finding the quotient 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	$\frac{1 6}{4} = 4$
$- -$	Quotient	Positive quotient	$\frac{- 1 6}{- 4} = 4$

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.

Absolute Value
Exponent
Subtraction

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Extra