Dividing Negatives

WHY IS A NEGATIVE DIVIDED BY A NEGATIVE A POSITIVE?

-1-1 = 1

IN ORDER TO ANSWER THIS LET’S LOOK AT DIVIDING NUMBERS AND LOOK FOR A

PATTERN.

20 / 218 / 216 / 214 / 212 / 210 / 2

8 / 26 / 24 / 22 / 20 / 2

= 10= 9= 8= 7= 6

= 5= 4= 3= 2= 1= 0

What two pattern do you see developing in this list of numbers?

What are the next three dividends?

What happens to the totals as we decrease

the dividend?

DIVIDENDDIVISOR

QUOTIENT

-2 / 2-4 / 2-6 / 2

= -1= -2= -3

That’s right! Our dividends would

be -2, -4 and -6

Outstanding! Our quotients would

be -1, -2 and -3

What would be the next three quotients?

6 / 24 / 22 / 20 / 2

= 3= 2= 1= 0

What are the next three dividends?

WHY IS A NEGATIVE TIMES A NEGATIVE A POSITIVE?

-1* -1= 1

IN ORDER TO ANSWER THIS LET’S LOOK AT MULTIPLYING NUMBERS AND LOOK

FOR A PATTERN.

What pattern do you see developing in the

multiplier?

20 * 218 * 216 * 214 * 212 * 210 * 2

8 * 26 * 24 * 22 * 20 * 2

= 40= 36= 32= 28= 24

= 20= 16= 12= 8= 4= 0

What are the next three Multipliers?

What happens to the totals as we decrease

the Multiplier?

MULTIPLIERMULTIPLICAND

PRODUCT

20 * 218 * 216 * 214 * 212 * 210 * 2

8 * 26 * 24 * 22 * 20 * 2

= 40= 36= 32= 28= 24

= 20= 16= 12= 8= 4= 0

What pattern do you see developing in the

multiplier?

What are the next three Multipliers?

What happens to the totals as we decrease

the Multiplier?

MULTIPLIERMULTIPLICAND

PRODUCT

-2 * 2-4 * 2-6 * 2

= - 4= - 8= - 12

-2 * 2-4 * 2-6 * 2

= - 4= - 8= - 12

That’s right! Our multipliers would

be -2, -4 and -6

Outstanding! Our products would be

-4, -8 and -12

What would be the next three products?

What are the next three multipliers?

6 * 24 * 22 * 20 * 2

= 12= 8= 4= 0