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ID : pk-6-Integers-multiple-multiplication-operations [1] Grade 6 Integers - multiple multiplication operations For more such worksheets visit www.edugain.com Fill in t he blanks (1) Find the value of f ollowing : A) B) C) D) E) (2) 16 × 16 × 16 × 10 = 13 × ( -17 ) × 3 = ( -20 ) × ( -2 ) × ( -1 ) = ( -18 ) × 7 × 19 = What will be the sign (answer : positive or negative) of the product if we multiply together: A) B) C) D) E) (3) ( -9 ) × 19 × ( -16 ) × 16 × ( -5 ) = 15 negative integers and 4 positive integers = 27 negative integers and 1 positive integers = 9 negative integers and 7 positive integers = 20 negative integers and 10 positive integers = 21 negative integers and 9 positive integers = Find the value of f ollowing : A) B) C) D) 10 × 11 × ( -7 ) - ( -12 ) × ( -15 ) × ( -4 ) = 18 × 0 + 0 × ( -8 ) × ( -2 ) = ( -5 ) × ( -16 ) × 7 + 3 × 16 = ( -12 ) × ( -1 ) × 5 + 3 × 3 = E) (C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited ID : pk-6-Integers-multiple-multiplication-operations [2] © 2016 Edugain (www.edugain.com). All Rights Reserved (C) 2016 Edugain (www.Edugain.com) Many more such worksheets can be generated at www.edugain.com Personal use only, commercial use is strictly prohibited ID : pk-6-Integers-multiple-multiplication-operations [3] Answers (1) A) -218880 Step 1 We can multiply two numbers by the f ollowing steps: 1. First of all we have to multiply sign of the numbers. we use negative sign bef ore the negative numbers and we can't use any sign bef ore the positive numbers. We can multiply sign as: +×+=+ +×- =- ×- =+ 2. Now we have to multiply numbers. f or example 3 × 2 = 6, 3 × (-2) = (-6), (-3) × 2 = (-6), (-3) × (-2) = 6. Step 2 T o solve ( -9 ) × 19 × ( -16 ) × 16 × ( -5 ), f irst of all we have to multiply f irst two numbers af ter that we have to multiply result with the next number and so on as shown below: ( -9 ) × 19 × ( -16 ) × 16 × ( -5 ) = -171 × ( -16 ) × 16 × ( -5 ) = 2736 × 16 × ( -5 ) = 43776 × ( -5 ) = -218880 Step 3 T heref ore the value of ( -9 ) × 19 × ( -16 ) × 16 × ( -5 ) is -218880. (C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited ID : pk-6-Integers-multiple-multiplication-operations [4] B) 40960 Step 1 We can multiply two numbers by the f ollowing steps: 1. First of all we have to multiply sign of the numbers. we use negative sign bef ore the negative numbers and we can't use any sign bef ore the positive numbers. We can multiply sign as: +×+=+ +×- =- ×- =+ 2. Now we have to multiply numbers. f or example 3 × 2 = 6, 3 × (-2) = (-6), (-3) × 2 = (-6), (-3) × (-2) = 6. Step 2 T o solve 16 × 16 × 16 × 10, f irst of all we have to multiply f irst two numbers af ter that we have to multiply result with the next number and so on as shown below: 16 × 16 × 16 × 10 = 256 × 16 × 10 = 4096 × 10 = 40960 Step 3 T heref ore the value of 16 × 16 × 16 × 10 is 40960. (C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited ID : pk-6-Integers-multiple-multiplication-operations [5] C) -663 Step 1 We can multiply two numbers by the f ollowing steps: 1. First of all we have to multiply sign of the numbers. we use negative sign bef ore the negative numbers and we can't use any sign bef ore the positive numbers. We can multiply sign as: +×+=+ +×- =- ×- =+ 2. Now we have to multiply numbers. f or example 3 × 2 = 6, 3 × (-2) = (-6), (-3) × 2 = (-6), (-3) × (-2) = 6. Step 2 T o solve 13 × ( -17 ) × 3, f irst of all we have to multiply f irst two numbers af ter that we have to multiply result with the next number and so on as shown below: 13 × ( -17 ) × 3 = -221 × 3 = -663 Step 3 T heref ore the value of 13 × ( -17 ) × 3 is -663. (C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited ID : pk-6-Integers-multiple-multiplication-operations [6] D) -40 Step 1 We can multiply two numbers by the f ollowing steps: 1. First of all we have to multiply sign of the numbers. we use negative sign bef ore the negative numbers and we can't use any sign bef ore the positive numbers. We can multiply sign as: +×+=+ +×- =- ×- =+ 2. Now we have to multiply numbers. f or example 3 × 2 = 6, 3 × (-2) = (-6), (-3) × 2 = (-6), (-3) × (-2) = 6. Step 2 T o solve ( -20 ) × ( -2 ) × ( -1 ), f irst of all we have to multiply f irst two numbers af ter that we have to multiply result with the next number and so on as shown below: ( -20 ) × ( -2 ) × ( -1 ) = 40 × ( -1 ) = -40 Step 3 T heref ore the value of ( -20 ) × ( -2 ) × ( -1 ) is -40. (C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited ID : pk-6-Integers-multiple-multiplication-operations [7] E) -2394 Step 1 We can multiply two numbers by the f ollowing steps: 1. First of all we have to multiply sign of the numbers. we use negative sign bef ore the negative numbers and we can't use any sign bef ore the positive numbers. We can multiply sign as: +×+=+ +×- =- ×- =+ 2. Now we have to multiply numbers. f or example 3 × 2 = 6, 3 × (-2) = (-6), (-3) × 2 = (-6), (-3) × (-2) = 6. Step 2 T o solve ( -18 ) × 7 × 19, f irst of all we have to multiply f irst two numbers af ter that we have to multiply result with the next number and so on as shown below: ( -18 ) × 7 × 19 = -126 × 19 = -2394 Step 3 T heref ore the value of ( -18 ) × 7 × 19 is -2394. (C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited ID : pk-6-Integers-multiple-multiplication-operations [8] (2) A) negative Step 1 Multiplication of two positive integers make a positive integer: f or example 4 × 5 = 20 Multiplication of two negative integers make a positive integer: f or example (−4) × (−5) = 20 Multiplication of a negative and a positive integer make a negative integer: f or example (−4) × 5 = −20 Step 2 If number of negative integers are even then the product of integers are positive else the product of negative integers are negative. Step 3 Multiplication of 15 negative numbers and 4 positive numbers, = (Multiplication of 15 negative numbers) × (Multiplication of 4 positive numbers) = (Multiplication of 14 negative numbers) × (Negative number) × (Multiplication of 4 positive numbers) = (Positive number) × (Negative number) × (Positive number) = Negative number B) negative Step 1 Multiplication of two positive integers make a positive integer: f or example 4 × 5 = 20 Multiplication of two negative integers make a positive integer: f or example (−4) × (−5) = 20 Multiplication of a negative and a positive integer make a negative integer: f or example (−4) × 5 = −20 Step 2 If number of negative integers are even then the product of integers are positive else the product of negative integers are negative. Step 3 Multiplication of 27 negative numbers and 1 positive numbers, = (Multiplication of 27 negative numbers) × (Multiplication of 1 positive numbers) = (Multiplication of 26 negative numbers) × (Negative number) × (Multiplication of 1 positive numbers) = (Positive number) × (Negative number) × (Positive number) = Negative number (C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited ID : pk-6-Integers-multiple-multiplication-operations [9] C) negative Step 1 Multiplication of two positive integers make a positive integer: f or example 4 × 5 = 20 Multiplication of two negative integers make a positive integer: f or example (−4) × (−5) = 20 Multiplication of a negative and a positive integer make a negative integer: f or example (−4) × 5 = −20 Step 2 If number of negative integers are even then the product of integers are positive else the product of negative integers are negative. Step 3 Multiplication of 9 negative numbers and 7 positive numbers, = (Multiplication of 9 negative numbers) × (Multiplication of 7 positive numbers) = (Multiplication of 8 negative numbers) × (Negative number) × (Multiplication of 7 positive numbers) = (Positive number) × (Negative number) × (Positive number) = Negative number D) positive Step 1 Multiplication of two positive integers make a positive integer: f or example 4 × 5 = 20 Multiplication of two negative integers make a positive integer: f or example (−4) × (−5) = 20 Multiplication of a negative and a positive integer make a negative integer: f or example (−4) × 5 = −20 Step 2 If number of negative integers are even then the product of integers are positive else the product of negative integers are negative. Step 3 Multiplication of 20 negative numbers and 10 positive numbers, = (Multiplication of 20 negative numbers) × (Multiplication of 10 positive numbers) = (Positive number) × (Positive number) = Positive number (C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited ID : pk-6-Integers-multiple-multiplication-operations [10] E) negative Step 1 Multiplication of two positive integers make a positive integer: f or example 4 × 5 = 20 Multiplication of two negative integers make a positive integer: f or example (−4) × (−5) = 20 Multiplication of a negative and a positive integer make a negative integer: f or example (−4) × 5 = −20 Step 2 If number of negative integers are even then the product of integers are positive else the product of negative integers are negative. Step 3 Multiplication of 21 negative numbers and 9 positive numbers, = (Multiplication of 21 negative numbers) × (Multiplication of 9 positive numbers) = (Multiplication of 20 negative numbers) × (Negative number) × (Multiplication of 9 positive numbers) = (Positive number) × (Negative number) × (Positive number) = Negative number (C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited ID : pk-6-Integers-multiple-multiplication-operations [11] (3) A) -50 Step 1 We can multiply two numbers by the f ollowing steps: 1. First of all we have to multiply sign of the numbers. we use negative sign bef ore the negative numbers and we can't use any sign bef ore the positive numbers. We can multiply sign as: +×+=+ +×- =- ×- =+ 2. Now we have to multiply numbers. f or example 3 × 2 = 6, 3 × (-2) = (-6), (-3) × 2 = (-6), (-3) × (-2) = 6. Step 2 Now 10 × 11 × ( -7 ) - ( -12 ) × ( -15 ) × ( -4 ) can be expressed as: 10 × 11 × ( -7 ) - ( -12 ) × ( -15 ) × ( -4 ) = (-770) - (-720) = -770 + 720 = -50 Step 3 T heref ore the value of 10 × 11 × ( -7 ) - ( -12 ) × ( -15 ) × ( -4 ) is -50. (C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited ID : pk-6-Integers-multiple-multiplication-operations [12] B) 0 Step 1 We can multiply two numbers by the f ollowing steps: 1. First of all we have to multiply sign of the numbers. we use negative sign bef ore the negative numbers and we can't use any sign bef ore the positive numbers. We can multiply sign as: +×+=+ +×- =- ×- =+ 2. Now we have to multiply numbers. f or example 3 × 2 = 6, 3 × (-2) = (-6), (-3) × 2 = (-6), (-3) × (-2) = 6. Step 2 Now 18 × 0 + 0 × ( -8 ) × ( -2 ) can be expressed as: 18 × 0 + 0 × ( -8 ) × ( -2 ) = (0) + (0) =0 Step 3 T heref ore the value of 18 × 0 + 0 × ( -8 ) × ( -2 ) is 0. (C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited ID : pk-6-Integers-multiple-multiplication-operations [13] C) 608 Step 1 We can multiply two numbers by the f ollowing steps: 1. First of all we have to multiply sign of the numbers. we use negative sign bef ore the negative numbers and we can't use any sign bef ore the positive numbers. We can multiply sign as: +×+=+ +×- =- ×- =+ 2. Now we have to multiply numbers. f or example 3 × 2 = 6, 3 × (-2) = (-6), (-3) × 2 = (-6), (-3) × (-2) = 6. Step 2 Now ( -5 ) × ( -16 ) × 7 + 3 × 16 can be expressed as: ( -5 ) × ( -16 ) × 7 + 3 × 16 = (560) + (48) = 608 Step 3 T heref ore the value of ( -5 ) × ( -16 ) × 7 + 3 × 16 is 608. (C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited ID : pk-6-Integers-multiple-multiplication-operations [14] D) 69 Step 1 We can multiply two numbers by the f ollowing steps: 1. First of all we have to multiply sign of the numbers. we use negative sign bef ore the negative numbers and we can't use any sign bef ore the positive numbers. We can multiply sign as: +×+=+ +×- =- ×- =+ 2. Now we have to multiply numbers. f or example 3 × 2 = 6, 3 × (-2) = (-6), (-3) × 2 = (-6), (-3) × (-2) = 6. Step 2 Now ( -12 ) × ( -1 ) × 5 + 3 × 3 can be expressed as: ( -12 ) × ( -1 ) × 5 + 3 × 3 = (60) + (9) = 69 Step 3 T heref ore the value of ( -12 ) × ( -1 ) × 5 + 3 × 3 is 69. (C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited ID : pk-6-Integers-multiple-multiplication-operations [15] E) -26 Step 1 We can multiply two numbers by the f ollowing steps: 1. First of all we have to multiply sign of the numbers. we use negative sign bef ore the negative numbers and we can't use any sign bef ore the positive numbers. We can multiply sign as: +×+=+ +×- =- ×- =+ 2. Now we have to multiply numbers. f or example 3 × 2 = 6, 3 × (-2) = (-6), (-3) × 2 = (-6), (-3) × (-2) = 6. Step 2 Now 16 × 13 + 18 × ( -13 ) can be expressed as: 16 × 13 + 18 × ( -13 ) = (208) + (-234) = 208 -234 = -26 Step 3 T heref ore the value of 16 × 13 + 18 × ( -13 ) is -26. (C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited