Math Grade 6 ADDING INTEGERS Adding Positive Numbers
Math Grade 6
ADDING INTEGERS
Adding Positive Numbers… 3 + 5 is the same as (+3) + (+5) = (+8) +5 REMEMBER! The answer in addition is called the SUM!
Adding Integers To add a positive integer we move forwards up the number line. To add a negative integer we move backwards down the number line. Numbers get smaller in this direction. Move this way to subtract. Numbers get bigger in this direction. Move this way to add.
Adding Integers To add a positive integer we move forwards up the number line. (+2) + (+3) = (+5) -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Adding Integers To add a negative integer we move backwards down the number line. (+3) + (– 5) = (– 2) -5
Adding Integers When adding integers …. (-5) + (+2)= (-3) Starting place Starting Place Direction Distance -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 HINT! Write down a number line!!
Adding Integers When adding integers …. (-5) + (-2)= (-7) Starting place Starting Place Direction Distance -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 HINT! Write down a number line!!
Can you work this out? Adding Integers (– 2) + (+5) = (+3) -2 3 (+5) + (– 8) == (– 3) -3 5
Adding Integers (-2) + (+3) = (+1) -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Adding Integers (+2) + (-5) = (-3) -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Adding Integers (-2) + (-3) = (-5) -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
7 7 6 5 4 3 2 1 0
(+7) + (-2) = (+5) 7 6 5 7 -2 4 3 2 1 0
Adding Integers (-3) + (+5) = (+2) (-6) + (+3) = (-3) (-7) + (+7) = 0 (-10) (-5) + (+16) = (+6) + 0 = (-5) -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Adding Integers (+5) + (-3) = (+2) + (-7) = (-5) (-4 ) + (-1) = (-5) (-10) (-6) + (-10) =(-20) + 0 = (-6) -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Could we come up with some rules? To add two integers of the same sign: - Add their distances from zero. - Write this result preceded by the common sign of the two numbers. EXAMPLE: (+5) + (+3) = (+8) (-5) + (-3) = (-8)
Could we come up with some rules? To add two integers of unlike signs: - Calculate the difference of their distances from zero. - Write this result preceded by the sign of the integer that has the greater distance from zero. EXAMPLE: (+5) + (-3) = (+2) (-5) + (+3) = (-2)
Right or Wrong? Question 1 (-5) + (+6) = (+1) RIGHT
Right or Wrong? ? Question 2 (-3) + (-9) = (-12) RIGHT
Right or Wrong? Question 3 (+6) (+10) + (- 4) = (+14) WRONG
Right or Wrong? Question 4 (-6) + (+ 7) =(+1) RIGHT
Right or Wrong? Question 5 (-9) (-12) + (+3) = (-15) WRONG
Right or Wrong? Question 6 (+8) + (-10) = (-2) RIGHT
Right or Wrong? Question 7 (-3) + (+6) = (+3) (-9) WRONG
Right or Wrong? Question 8 (-10) + (-6) = (-16) RIGHT
Yes or No? Question 9 Is the sum of two opposite numbers equal to zero? Yes
Click on the correct option to hit the target. (+3) + (– 5) = -2 2 8
Click on the correct option to hit the target. (-1) + (– 2) = -1 3 -3
2 Click on the correct option to hit the target. (+13) + (-5) = -8 8 -2
Click on the correct option to hit the target. (+6) + (– 7) = -1 13 1
Click on the correct option to hit the target. (-3) + (+8) = 5 -11 -5
Extension work You Become The Expert! a) (+8) + (– 5) = b) (+3) + (– 6)= c) (+2 ) + (– 10) = d) (+5) + (- 4) = e) (+10) + (-12) = f) (+3 ) + (-2 ) = g) (-9 ) + (-3) =
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