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Multiplying and dividing positive and negative numbersPowerPoint Presentation

Multiplying and dividing positive and negative numbers

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## PowerPoint Slideshow about ' Multiplying and dividing positive and negative numbers' - valiant

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Presentation Transcript

Objectives

- Multiplication and division drill
- Learn rules for multiplying negative numbers
- Learn rules for dividing negative numbers
- Practice multiplying and dividing negative numbers

Multiplication and Division Drill

You have four minutes to complete the drill, good luck!

Answers

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- 16 – 17 Okay
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- 25 - 26Super Excellent!!
- 27 - 30 Unbelievable!!!!

Multiplying with Negative Numbers

Rules for multiplying negative numbers are similar to adding or subtracting.

Example

Numerically,

Double -4 = (-4) – 4 = (-4) x 2

Double -4.

Let’s look at the number line.

x2

If we double -4, we double its “size”. As it’s negative it must go further to the left.

We double -4 and come to -8. This is the same as -4 and taking away another 4.

Multiplying with Negative Numbers

Let’s try another example.

Example

Calculate (-5) x 4.

So here we extend -5 four times and reach -20.

(-5)x 4

=

-20

Basically, if we multiply a negative number by a positive, we get a negative.

Multiplying with Negative Numbers

How about two negatives?

Example

Calculate (-5) x (-6).

Here we increase the weight of -5, but it goes the opposite way as it’s by a negative amount.

(-5)x (-6)

=

30

When we multiply a negative number by another, the answer will be positive.

Dividing Negative Numbers

Dividing has exactly the same rules.

Examples

Calculate 10 ÷ (-5).

10÷ (-5)

=

-2

Calculate (-18) ÷ 6.

(-18)÷ 6

=

-3

It doesn’t make any difference which number in the calculation is negative. If one is negative, the answer will be negative.

Dividing Negative Numbers

Like multiplication, if we divide a negative number by another, our result is positive.

Examples

Try the worksheets!

Calculate (-60) ÷ (-6).

(-60)÷(-6)

10

=

Calculate (-5) x 8 ÷ (-2)

(-5)x 8 ÷ (-2)

=

(-40)÷(-2)

=

20

Answers - Medium

-60

3

-2

-3

-4

-1

-6

-8

-4

-2

1

-3

-6

-9

-12

-121

-8

-16

-4

-12

-4

1 degrees

1

0.25

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