Dividing Negatives
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The document explores patterns that emerge when dividing or multiplying negative numbers. When dividing a negative number by a negative number, the quotient is positive. Likewise, when multiplying two negative numbers, the product is positive. Through examples of dividing and multiplying different numbers, it is shown that the quotients and products follow a descending pattern as the dividend or multiplier decreases.
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Dividing Negatives
- 1. IN ORDER TO ANSWER THIS LET’S LOOK AT DIVIDING NUMBERS AND LOOK FOR A PATTERN. WHY IS A NEGATIVE DIVIDED BY A NEGATIVE A POSITIVE? -1 -1 = 1
- 2. 20 / 2 18 / 2 16 / 2 14 / 2 12 / 2 10 / 2 8 / 2 6 / 2 4 / 2 2 / 2 0 / 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? DIVIDEND DIVISOR QUOTIENT
- 3. -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? What are the next three dividends? 6 / 2 4 / 2 2 / 2 0 / 2 = 3 = 2 = 1 = 0
- 4. 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.
- 5. What pattern do you see developing in the multiplier? 20 * 2 18 * 2 16 * 2 14 * 2 12 * 2 10 * 2 8 * 2 6 * 2 4 * 2 2 * 2 0 * 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? MULTIPLIER MULTIPLICAND PRODUCT
- 6. 20 * 2 18 * 2 16 * 2 14 * 2 12 * 2 10 * 2 8 * 2 6 * 2 4 * 2 2 * 2 0 * 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? MULTIPLIER MULTIPLICAND PRODUCT
- 7. 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? -2 * 2 -4 * 2 -6 * 2 = - 4 = - 8 = - 12 -2 * 2 -4 * 2 -6 * 2 = - 4 = - 8 = - 12 6 * 2 4 * 2 2 * 2 0 * 2 = 12 = 8 = 4 = 0