Grade 7 Math: Adding Integers PDF

Curriculum Connection Name: ______________________ 50 N.2 + + + - - - + + + - - - + + 8 + (-6)...

Curriculum Connection Name: ______________________ 50 N.2 + + + - - - + + + - - - + + 8 + (-6) ___ ___ = ___ 2 Questions Cross out the zero pairs. What is left? 1) + + + - - - 2) + + + - - - 3) + + + - - - + + + - - - + + - - - + + - - - + + + - - - ____ + ____ = ____ ____ + ____ = ____ ____ + ____ = ____ 4) + + + - - - 5) + + + - - - 6) + + - - - - - - + - - - - - - - - - - ____ + ____ = ____ ____ + ____ = ____ ____ + ____ = ____ 7) + + + - - - 8) + + + - - - 9) + + + - - - + + + - + + + - - - + - - - + + + - - - - - ____ + ____ = ____ ____ + ____ = ____ ____ + ____ = ____ 10) + + + - - - 11) + + + - - - 12) + + + - - - + + - - - + + + - - + + - - - - - + + - - - ____ + ____ = ____ ____ + ____ = ____ ____ + ____ = ____ © Super Simple Sheets  Curriculum Connection Name: ______________________ 51 N.2 Questions Draw counter chips to represent the numbers and then use zero pairs 1) 3 + (-5) = -2 2) 6 + (-7) = 3) (-8) + 6 = + + + - - - - - 4) (-5) + 12 = 5) (-2) + 6 = 6) (-5) + 3 = 7) 8 + (-2) = 8) 10 + (-7) = 9) 13 + (-6) = 10) (-10) + 6 = 11) (-15) + 9 = 12) 17 + (-6) = 13) 19 + (-8) = 14) 14 + (-19) = 15) (-20) + 15 = © Super Simple Sheets  Curriculum Connection Name: ______________________ 52 N.2 Word Problems Solve the word problems below using counter chips 1) Alice played 2 rounds of golf. Her final scores for both rounds are on the scorecard. What is the total score for the two rounds? Round Score 1 -6 2 +9 Equation: ______ + ______ = ______ Total Score 2) Theo played three rounds of golf. His final scores for all three rounds are on the scorecard. What is his total score? Round Score 1 -5 2 -3 3 +5 Equation: ______ + ______ + ______ = ______ Total Score 3) Leah played 4 rounds of golf. Her final scores are written on the scorecard. What is her total score? R1 R2 R3 R4 Total Score -4 4 -2 -4 Equation: ______ + ______ + ______ + ______ = ______ 4) Miles played 4 rounds of golf. His final scores are written on the scorecard. What is his total score? R1 R2 R3 R4 Total Score 8 3 -6 -5 Equation: ______ + ______ + ______ + ______ = ______ © Super Simple Sheets  Curriculum Connection Name: ______________________ 53 N.2 Word Problems Solve the word problems below using counter chips 1) Bailey played 3 rounds of golf. She filled out her scorecard, but she forgot what she shot in round 2. Fill it in for her. Round Score 1 -6 2 3 +9 Equation: ______ + ______ + ______ = ______ Total Score +10 2) Ryker played three rounds of golf. His final scores for all three rounds are on the scorecard. What is his total score? Round Score 1 -13 2 -8 3 +11 Equation: ______ + ______ + ______ = ______ Total Score 3) Sara played 4 rounds of golf. Her final scores are written on the scorecard, but she can’t remember what she scored on her first round. Help her by completing her score card. R1 R2 R3 R4 Total Score 3 -6 -5 -17 Equation: ______ + ______ + ______ + ______ = ______ 4) Jason played 4 rounds of golf. His final scores are written on the scorecard. What is his total score? R1 R2 R3 R4 Total Score -11 -6 8 -7 Equation: ______ + ______ + ______ + ______ = ______ © Super Simple Sheets  Curriculum Connection Name: ______________________ 54 N.2 5 + (-6) = -1 -4 + 6 = 2 Order the numbers below from least to greatest Questions Use the number lines to solve the questions 1) 8 + (-3) = 2) -9 + 5 = 3) 8 + (-3) = 4) -10 + 6 = 5) 9 + (-17) = 6) -8 + 11 = 7) 8 + (-14) = 8) -9 + 12 = © Super Simple Sheets  Curriculum Connection Name: ______________________ 55 N.2 Part 1 Use the number lines to solve the questions 1) 10 + (-19) = 2) -19 + 10 = 3) -5 + (-4) = 4) -7 + (-2) = 5) 10 + (-14) = 6) -1 + (-9) = Part 2 Answer the word problems below – Write the equations 1) A football team loses 9 yards on one play and then loses 8 yards on the next play. How many total yards did they lose? ______ + ______ = ______ 2) In golf, Roger played two rounds. He scored a +3 and a -12. What was his total score? ______ + ______ = ______ © Super Simple Sheets  Curriculum Connection Name: ______________________ 56 N.2 -20 -19 -18 -17 -16 -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 16 17 18 19 20 Part 1 Solve the questions below 1) 5 + (-3) + 2 6) -15 + 11 + (-5) 2) 18 + (-6) + 3 7) 17 + (-6) + (-8) 3) -12 + 5 + (-6) 8) -15 + (-5) + 11 + (-7) 4) 13 + (-6) + (-4) 9) 11 + 8 + (-7) + (-5) 5) -11 + 4 + (-2) 10) 16 + (-8) + (-15) + 7 Part 2 Answer the word problems below. Write the equations for each question 1) You take 9 steps forwards, 7 steps backwards, another 5 steps backwards, and another 4 steps forwards. How many steps have you taken? 2) The Big Dipper rollercoaster climbs straight up 30m above ground level before it drops 18m. Next, it climbs another 22m before it drops 17m. When the ride is over, the participants are how much higher than ground level? © Super Simple Sheets  Curriculum Connection Name: ______________________ 57 N.2 -20 -19 -18 -17 -16 -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 16 17 18 19 20 Part 1 Solve the questions below 1) 9 + (-4) + 3 6) -35 + 21 + (-17) 2) 15 + (-8) + 5 7) 17 + (-25) + (-11) 3) -17 + 30 + (-13) 8) -10 + (-10) + 35 + (-12) 4) 20 + (-32) + (-7) 9) 19 + (-30) + (-7) + (22) 5) -18 + 20 + (-21) 10) 14 + (-29) + (-4) + 33 Part 2 Answer the word problems below. Write the equations for each question 1) You take 19 steps forwards, 29 steps backwards, another 10 steps backwards, and another 31 steps forwards. How many steps have you taken? 2) A submarine starts at sea level and dives 52m down before coming up 16m. It makes another plunge down 39m and then rises 14m. How many meters is it below sea level? © Super Simple Sheets  Curriculum Connection Name: ______________________ 58 N.2 Adding Integers Rules + + + = + Adding 2 positive integers will always give a positive answer - + - = - Adding 2 negative integers will always give a negative answer + + - = - Adding integers with different signs → use the larger number + + + = + Adding integers with different signs → use the larger number *** If the integers have the same sign, add them and keep the sign *** If the integers have different signs, subtract them and use the sign of the larger number Part 1 Use the rules above to answer the 1-step questions below 1) 42 + (-13) 5) 175 + (-121) 2) 57 + (-66) 6) (-151) + (-136) 3) -132 + (-112) 7) 213 + (-158) 4) (+33) + (+86) 8) -328 + (+113) Part 2 Simplify the multi-step questions and use the rules above 1) 16 + (-11) + (-17) 4) 42 + 35 + (-28) + (-55) 2) 37 + (-26) + 28 5) 68 + (-75) + ( -33) + 91 3) -82 + (-42) + (-35) 6) -108 + 85 + (-72) + (132) © Super Simple Sheets  Curriculum Connection Name: ______________________ 59 N.2 Adding Integers Rules + + + = + Adding 2 positive integers will always give a positive answer - + - = - Adding 2 negative integers will always give a negative answer + + - = - Adding integers with different signs → use the larger number + + + = + Adding integers with different signs → use the larger number *** If the integers have the same sign, add them and keep the sign *** If the integers have different signs, subtract them and use the sign of the larger number Part 1 Use the rules above to answer the 1-step questions below 1) 68 + (-32) 5) 142 + (-121) 2) 57 + (-76) 6) (-173) + (-121) 3) -115 + (-122) 7) 236 + (-268) 4) (+133) + (+77) 8) -353 + (+143) Part 2 Simplify the multi-step questions and use the rules above 1) 31 + (-26) + (-23) 4) 52 + 35 + (-53) + (-37) 2) 54 + (-58) + 33 5) 78 + (-75) + ( -33) + 45 3) -82 + (-42) + (-35) 6) -128 + 96 + (-90) + 132 © Super Simple Sheets  Curriculum Connection Name: ______________________ 60 N.2 Subtraction Integers Rules To subtract integers, it is easiest to change the operation to addition and then follow the addition rules. We can do this by using the rule – Keep, Flip, Change. We keep the first number the same, flip the operation from subtraction to addition, and then change the third number’s sign. Example: 5 – (-6) = ? becomes 5 + 6 = 11 Keep the Flip the Change the first operation sign of the next integer integer Part 1 Use the rules above to solve the problems 1) 8 – (-9) = 6) (+37) – (+41) = 2) 24 – (-11) = 7) (+55) – (+23) = 3) (-11) – 8 = 8) 39 – (-52) = 4) (-23) – 13 = 9) (-53) – (-21) = 5) (-31) – (-12) = 10) 88 – (-57) = Part 2 Answer the word problem below. Write the equation for each question The highest recorded temperature on Earth is 56ºC. The lowest recorded temperature is -89ºC. What is the difference between these two temperatures? © Super Simple Sheets  Curriculum Connection Name: ______________________ 61 N.2 Subtraction Integers Rules To subtract integers, it is easiest to change the operation to addition and then follow the addition rules. We can do this by using the rule – Keep, Flip, Change. We keep the first number the same, flip the operation from subtraction to addition, and then change the third number’s sign. Example: 5 – (-6) = ? becomes 5 + 6 = 11 Keep the Flip the Change the first operation sign of the next integer integer Part 1 Use the rules above to solve the problems 1) 11 – (-6) = 6) (+45) – (+43) = 2) 24 – (-11) = 7) (+73) – (+33) = 3) (-11) – 8 = 8) 102 – (-75) = 4) (-23) – 13 = 9) (-118) – (-41) = 5) (-31) – (-12) = 10) 159 – (-77) = Part 2 Answer the word problem below. Write the equation for each question Jake has +$130 in his bank account. Todd owes $80 to his brother and has no other money. How much more money does Jake have then Todd? © Super Simple Sheets  Curriculum Connection Name: ______________________ 62 N.2 Questions Write the letters above the answers at the bottom to solve the riddle E) 10 – (-4) = N) (+17) – (+30) = P) (-15) – (-15) = E) (+61) – (+38) = L) (-18) – 7 = O) (-36) – (-20) = N) (-12) – 17 = E) (-32) – (-47) = V) 43 – (-18) = A) (+63) – (+53) = What begins with an E but only has one letter _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ 10 -13 14 -29 61 23 -25 -16 0 15 © Super Simple Sheets  Curriculum Connection Name: ______________________ 63 N.2 Follow these steps to use a number line for solving subtraction questions involving integers. 1) Determine how far the numbers are on a number line (-5 and 5 has a distance of 10 in total – magnitude of 10) 2) The direction you move from the second number to the first number will tell you which sign to use. When we move left, we are moving in a negative direction (-) and when we move right, we are moving in a positive direction (+) Distance = 10 Moving left = -10 -5 – 5 = -10 Questions Use the number lines to solve the questions 1) 9 - (-3) = 2) -4 - 8 = 3) 7 - (-4) = 4) -6 + 6 = 5) 9 + (-9) = 6) -7 – (-4) = 7) (-10) - (-1) = © Super Simple Sheets  Curriculum Connection Name: ______________________ 64 N.2 Follow these steps to use a number line for solving subtraction questions involving integers. 1) Determine how far the numbers are on a number line (25 and -35 has a distance of 60 in total – magnitude of 60) 2) The direction you move from the second number to the first number will tell you which sign to use. When we move left, we are moving in a negative direction (-) and when we move right, we are moving in a positive direction (+) Ex. 25 – (-35) = +60 Distance = 60 Moving right = +60 -40 -30 -20 -10 0 10 20 30 40 Questions Use the number lines to solve the questions 1) (-30) – (-16) = -40 -30 -20 -10 0 10 20 30 40 2) 25 – (-25) = -40 -30 -20 -10 0 10 20 30 40 3) (-20) – 10 = -40 -30 -20 -10 0 10 20 30 40 4) (-35) – 19 = -40 -30 -20 -10 0 10 20 30 40 5) 31 – (-37) = -40 -30 -20 -10 0 10 20 30 40 6) (-38) – (-22) = -40 -30 -20 -10 0 10 20 30 40 7) 40 – (-36) = -40 -30 -20 -10 0 10 20 30 40 © Super Simple Sheets  Curriculum Connection Name: ______________________ 65 N.2 -40 -30 -20 -10 0 10 20 30 40 Part 1 Solve the questions below 1) 27 - (-13) = 6) (-35) - 22 = 2) (-32) - (-26) = 7) 27 - (-16) = 3) (-23) - 31 = 8) (-38) - (-15) = 4) 36 - (-17) = 9) (+26) – (+13) = 5) (-39) - 18 = 10) (-12) - (-38) = Part 2 Answer the word problems below. Write the equations for each question 1) The winner of a golf tournament scored a -21 after four rounds. The last place golfer scored a +47. What is the difference between these two scores? 2) Dan and Brianna both invested some of their money in the stock market. Dan lost -$386 and Brianna earned +$521. What is the difference between their earnings and loses? © Super Simple Sheets  Curriculum Connection Name: ______________________ 66 N.2 Follow these steps to use a number line for solving multiplication questions involving integers. Multiplier -5 x -4 = 20 1) The dog always starts at 0 Multiplicand Product 2) The multiplier tells us how many steps the dog will take. 3) The multiplicand tells us to walk forwards or backwards. For a positive number, walk forwards. For a negative number, walk backwards. 4) The multiplicand also tells us how many jumps to take. 5) If both numbers are negative, the answer will be positive (the dog will jump in the opposite direction) Ex. (-5) x (-4) = 20 -40 -30 -20 -10 0 10 20 30 40 Questions Use the number lines to solve the questions 1) (-5) x (-7) = -40 -30 -20 -10 0 10 20 30 40 2) 8 x (-4) = -40 -30 -20 -10 0 10 20 30 40 3) (-7) x 3 = -40 -30 -20 -10 0 10 20 30 40 4) (-9) x (-4) = -40 -30 -20 -10 0 10 20 30 40 5) 5 x (-8) = -40 -30 -20 -10 0 10 20 30 40 6) (-20) x (-2) = -40 -30 -20 -10 0 10 20 30 40 © Super Simple Sheets  Curriculum Connection Name: ______________________ 67 N.2 Questions Use the number lines to solve the questions 1) (-7) x (-4) = -40 -30 -20 -10 0 10 20 30 40 2) 5 x (-7) = -40 -30 -20 -10 0 10 20 30 40 3) 9 x (-3) = -40 -30 -20 -10 0 10 20 30 40 4) (-12) x (-3) = -40 -30 -20 -10 0 10 20 30 40 5) (-7) x (-6) = -40 -30 -20 -10 0 10 20 30 40 6) (-6) x 6 = -40 -30 -20 -10 0 10 20 30 40 7) 3 x (-13) = -40 -30 -20 -10 0 10 20 30 40 8) (-2) x (-16) = -40 -30 -20 -10 0 10 20 30 40 9) (+11) x (3) = -40 -30 -20 -10 0 10 20 30 40 © Super Simple Sheets  Curriculum Connection Name: ______________________ 68 N.2 Adding Integers Rules + x + = + Multiplying 2 positive integers will give a positive answer - x - = + Multiplying 2 negative integers will give a positive answer + x - = - Multiplying integers with different signs will give a negative answer - x + = - Multiplying integers with different signs will give a negative answer Part 1 Use the rules above to answer the 1-step equations below 1) 5 x (-2) = 6) (-14) x (-5) = 11) (-8) x (-12) = 2) (-7) x 7 = 7) 15 x (-6) = 12) 13 x (-9) = 3) (-8) x (-3) = 8) (-12) x 12 = 13) (-16) x 8 = 4) 12 x 8 = 9) (-13) x (-11) = 14) (-13) x (-13) = 5) (-11) x 12 = 10) 20 x 7 = 15) 25 x 100 = Part 2 Simplify the multi-step expressions and use the rules above Ex) 2 x (-3) x (-8) 3) 5 x 10 x (-10) x (-10) = (-6) x (-8) = 48 1) (7) x (-3) x 2 4) 6 x (-2) x ( -4) x 2 2) (-4) x (-6) x (-3) 5) (-9) x 3 x (-2) x 10 © Super Simple Sheets  Curriculum Connection Name: ______________________ 69 N.2 Part 1 Fill in the squares by multiplying the integers 1) 2) 3) x 5 -8 x 2 -9 x 7 -1 -3 -8 -9 -7 -6 -3 4) 5) 6) x -3 -9 x -7 -10 x 12 -6 -8 3 -4 6 -1 9 7) 8) 9) x -15 -13 x -6 11 x 23 -56 -3 -4 -10 -5 7 -100 Part 2 Fill in the squares by multiplying the integers 1) 2) 3) x 6 -5 2 x 10 -11 12 x -5 15 -25 -4 -3 -2 -7 -7 -4 3 -9 6 © Super Simple Sheets  Curriculum Connection Name: ______________________ 70 N.2 D i r e c ti o n s Fill in the chart by multiplying the integers x -5 -4 -3 -2 -1 0 1 2 3 4 5 5 4 3 2 © Super Simple Sheets 1 0 -1 -2 -3 -4 -5  Curriculum Connection Name: ______________________ 71 N.2 Follow these steps to use a number line for solving division questions involving integers. Dividend (-15) ÷ 5 = -3 1) The dog always starts at 0 Divisor Quotient 2) The dog jumps by the divisor until it reaches the dividend. 3) Your answer is how many jumps it takes 4) The answer is negative if the dog faces the negative side and positive if it faces the positive side. Ex. (-15) ÷ 5 = -3 Distance = 3 jumps Jumped to the left (negative side) = -3 -40 -30 -20 -10 0 10 20 30 40 Questions Use the number lines to solve the questions 1) (-25) ÷ (-5) = -40 -30 -20 -10 0 10 20 30 40 2) 12 ÷ (-4) = -40 -30 -20 -10 0 10 20 30 40 3) (-32) ÷ 4 = -40 -30 -20 -10 0 10 20 30 40 4) (-18) ÷ (-6) = -40 -30 -20 -10 0 10 20 30 40 5) 24 ÷ (-8) = -40 -30 -20 -10 0 10 20 30 40 6) (-36) ÷ (-3) = -40 -30 -20 -10 0 10 20 30 40 © Super Simple Sheets  Curriculum Connection Name: ______________________ 72 N.2 Questions Use the number lines to solve the questions 1) (-28) ÷ (-2) = -40 -30 -20 -10 0 10 20 30 40 2) 36 ÷ (-6) = -40 -30 -20 -10 0 10 20 30 40 3) 40 ÷ (-4) = -40 -30 -20 -10 0 10 20 30 40 4) (-32) ÷ (-8) = -40 -30 -20 -10 0 10 20 30 40 5) (-33) ÷ (-11) = -40 -30 -20 -10 0 10 20 30 40 6) (-21) ÷ 3 = -40 -30 -20 -10 0 10 20 30 40 7) 36 ÷ (-2) = -40 -30 -20 -10 0 10 20 30 40 8) (-27) ÷ (-3) = -40 -30 -20 -10 0 10 20 30 40 9) (+39) ÷ (+3) = -40 -30 -20 -10 0 10 20 30 40 © Super Simple Sheets  Curriculum Connection Name: ______________________ 73 N.2 Dividing Integers Rules – Same as Multiplication! + ÷ + = + Dividing 2 positive integers will give a positive answer - ÷ - = + Dividing 2 negative integers will give a positive answer + ÷ - = - Dividing integers with different signs will give a negative answer - ÷ + = - Dividing integers with different signs will give a negative answer Part 1 Use the rules above to answer the 1-step equations below 1) 15 ÷ (-3) = 6) (-60) ÷ (-12) = 2) (-49) ÷ 7 = 7) 72 ÷ (-8) = 3) (-66) ÷ (-6) = 8) (-99) ÷ 11 = 4) 32 ÷ 4 = 9) (-120) ÷ (-15) = 5) (-81) ÷ 9 = 10) 320 ÷ 20 = Part 2 Simplify the multi-step expressions and use the rules above Ex) 28 ÷ (-7) ÷ (-2) 3) 50 ÷ 5 ÷ (-2) = (-4) ÷ (-2) =2 1) (36) ÷ (-3) ÷ 6 4) 48 ÷ (-4) ÷ ( -3) ÷ 2 2) (-72) ÷ (-8) ÷ (-3) 5) (-112) ÷ 2 ÷ (-2) ÷ 4 © Super Simple Sheets  Curriculum Connection Name: ______________________ 74 N.2 Part 1 Fill in the squares by multiplying the integers 1) 2) 3) ÷ 5 -3 ÷ -6 3 ÷ 7 -2 -15 18 28 -30 -12 -56 4) 5) 6) ÷ 12 -6 ÷ -4 -8 ÷ -2 -12 -48 56 -60 36 -32 96 7) 8) 9) ÷ 5 15 ÷ -22 11 ÷ 3 -9 -75 -88 -36 -105 66 -72 Part 2 Fill in the squares by multiplying the integers 1) 2) 3) ÷ 2 -6 -10 ÷ -3 -6 9 ÷ -5 15 -25 -60 18 -75 90 -54 -150 -180 90 225 © Super Simple Sheets  Curriculum Connection Name: ______________________ 75 N.2 D i r e c ti o n s Fill in the input/output tables by following the rules 1) 2) 3) Input Output Input Output Input Output -11 -48 -12 -7 -26 -9 3 -12 -6 8 22 0 12 56 11 Multiply by -3 Divide by 2 Multiply by -8 4) 5) 6) Input Output Input Output Input Output -84 -14 -90 -66 -12 -75 36 -9 -60 96 13 45 114 15 95 Divide by -6 Multiply by -4 Divide by -5 7) 8) 9) Input Output Input Output Input Output -13 -250 -7000 -11 -140 -6200 8 90 -800 12 170 4200 14 330 10000 Multiply by -12 Divide by -10 Multiply by -100 © Super Simple Sheets