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Adding Negative Numbers

Adding Negative Numbers. -5 -2 -7 -10 -1 -3 -6. Using the Number Line. Using the Number Line. Find (+4) and (-4) Which is more? Which is Less? If this number represented dollars, which amount would you rather have?. Absolute Value.

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Adding Negative Numbers

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  1. Adding Negative Numbers -5 -2 -7 -10 -1 -3 -6

  2. Using the Number Line

  3. Using the Number Line • Find (+4) and (-4) • Which is more? Which is Less? • If this number represented dollars, which amount would you rather have?

  4. Absolute Value • Look at the numbers +3 and -3, marked with the blue dots How far are each of them from the zero? • 3 places • Absolute value is the value of the number without it’s sign. • Each of these numbers has an Absolute Value of 3, even though their signs are different.

  5. Where do we see negative numbers in our life?

  6. Weather in Alaska

  7. Using the number line to solve problems • We count up for increases (+ change) • We count Down for decreases (- change)

  8. Weather in Alaska

  9. Using the number line to solve problems • We count up for increases (+ change) • We count Down for decreases (- change)

  10. Practice with Negative numbers • EX 1: • Last year on Christmas Day, it was -10 degrees. This year will be 10 degrees warmer. What temperature will it be on Christmas Day this year? (First: find your starting point on you number line. Then, decide what “warmer” means. Will you be counting up or down?) • Answer: 0 degrees • Equation: -10 + 10 = 0

  11. Practice with negative numbers • EX 2: The low temperature for today was -2 degrees. The high was 6 degrees. What was the total change in temperature today? (first: find your starting place on your number line, and count up to 6. What is the difference between the two numbers?) • Answer: 8 • Equation: -2 + 8 = 6

  12. Practice with negative numbers • EX 3: Tommy and his family are planning a trip to Maine for Christmas. The average temperatures in December are -10 degrees! Thankfully, this year has been a lot warmer so far, and the weatherman said he expects it to be 15 degrees warmer this year. • What temperature can Tommy’s family expect to have? (hint: find your starting point on your number line, and count “up” 15 degrees.) • Answer: 5 degrees • Equation: -10 + 15 = 5

  13. Rules for Adding Negative numbers: • 1: When both numbers are positive, you simply add them together. • 8 + 3 = 11 • 2: When one number is negative and one number is positive: pretend both numbers are positive, subtract the smaller number from the larger number, and then give your answer the sign of the number that would be larger if they were both positive. • (-7) + 3 = -4 • 3: When both numbers are negative: Add the two numbers together as you would if they were both positive; then put the negative sign in front of the answer. • (-4) + (-5) = -9

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