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ADDING INTEGERS

ADDING INTEGERS. 6 TH GRADE MATHEMATICS. ESSENTIAL QUESTION. IS THE SUM OF TWO INTEGERS POSITIVE, NEGATIVE, OR ZERO? HOW CAN YOU TELL?. ADDING INTEGERS WITH COUNTERS. PENNIES: HEADS…………………….…….POSITIVE TAILS…………………………...NEGATIVE. SAME SIGN. USE PENNIES TO FIND -4 + -3

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ADDING INTEGERS

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  1. ADDING INTEGERS 6TH GRADE MATHEMATICS

  2. ESSENTIAL QUESTION IS THE SUM OF TWO INTEGERS POSITIVE, NEGATIVE, OR ZERO? HOW CAN YOU TELL?

  3. ADDING INTEGERS WITH COUNTERS PENNIES: HEADS…………………….…….POSITIVE TAILS…………………………...NEGATIVE

  4. SAME SIGN USE PENNIES TO FIND -4 + -3 -4 + -3 = -7

  5. DIFFERENT SIGNS USE PENNIES TO FIND -3 + 2 -3 + 2= -1

  6. ADDING INTEGERS ON A NUMBER LINE -5 + 3 • Start at zero, go to -5 • Move right 3 units • Where are you?

  7. ADDING INTEGERS ON A NUMBER LINE 5 + -3 • Start at zero, go to 5 • Move left 3 units • Where are you?

  8. ADDING INTEGERS ON A NUMBER LINE -5 + -3 • Start at zero, go to -5 • Move left 3 units • Where are you?

  9. ADDING INTEGERS WITH RULES SAME SIGN: ADD AND KEEP THE SIGN -3 + -4 = -7 3 + 4 = 7 In other words, add the absolute values and keep the common sign

  10. ADDING INTEGERS WITH RULES DIFFERENT SIGNS: SUBTRACT THE SMALLER FROM THE LARGER, KEEP THE SIGN OF THE LARGER -3 + 4 = 1 3 + -4 = -1 • Find the absolute value of both integers. • Subtract the smallest from the largest. • Place the sign of the larger integer in front of the answer.

  11. ADDING INTEGERS WITH RULES DIFFERENT SIGNS • PRETEND THE SIGNS ARE NOT THERE • SUBTRACT THE SMALLEST FROM THE LARGEST • PUT THE SIGN OF THE ONE WITH THE LARGER ABSOLUTE VALUE IN FRONT OF YOUR ANSWER

  12. Let’s Practice • -2 + 11 • -8 + 4 • 13 + -11 • 7 + -7 • 9 + -10 • -31 + 3

  13. Key Ideas Two numbers the same distance from 0, on opposite sides of zero are called opposites. Example: -3 and 3 are opposites Another word for opposite is additive inverse! Example: 3 is the additive inverse of -3 The sum of an integer and its additive inverse is 0. Example: -3 + 3 =0

  14. RECAP • POSTIVE + POSITIVE = POSITIVE • NEGATIVE + NEGATIVE = NEGATIVE • NEGATIVE + POSITIVE OR POSITIVE + NEGATIVE: DEPENDS ON THE SIGN OF THE # WITH THE LARGEST ABSOLUTE VALUE

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