ID : in-7-multiplication-and-division [1] Class 7 Multiplication and Division For more such worksheets visit www.edugain.com Fill in the blanks (1) Simplif y f ollowing and write answer in exponential f orm A) 7 8 49 7 = 7 B) C) D) E) 49 4 343 8 49 5 = 7 8 4 4 6 4 6 2 8 2 8 = 2 27 4 3 7 3 4 27 9 = 3 8 2 4 7 2 9 = 2 (2) Simplif y f ollowing and write answer in exponential f orm A) 9 6 9 3 27 9 27 8 = 3 B) 2 3 2 3 2 3 = 2 (3) Simplif y f ollowing and write answer in exponential f orm A) 25 9 25 2 125 7 5 7 = 5 B) 343 5 49 7 = 7 (4) Simplif y f ollowing and write answer in exponential f orm A) 125 6 25 3 5 3 = 5 B) 9 5 27 7 3 7 = 3 (5) Simplif y f ollowing and write answer in exponential f orm A) 125 3 5 8 5 6 5 3 125 9 5 9 = 5 B) 3 4 9 7 9 5 27 9 9 6 = 3 (6) Simplif y f ollowing and write answer in exponential f orm A) 4 8 8 9 = 2 B) 49 8 343 8 49 4 343 2 49 4 7 4 = 7
(7) Simplif y f ollowing and write answer in exponential f orm A) 8 6 2 3 4 5 = 2 ID : in-7-multiplication-and-division [2] B) 125 9 5 9 5 9 = 5 (8) Simplif y f ollowing and write answer in exponential f orm A) B) 8 6 8 3 4 3 2 3 = 2 125 6 5 8 5 8 5 3 5 3 = 5 (9) Simplif y f ollowing and write answer in exponential f orm A) B) 9 5 9 3 27 8 3 8 = 3 25 5 25 9 5 9 = 5 (10) Simplif y f ollowing and write answer in exponential f orm A) B) 125 2 125 5 5 8 125 9 = 5 125 2 5 7 = 5 (11) Simplif y f ollowing and write answer in exponential f orm A) B) 25 3 125 7 25 8 125 4 = 5 27 3 27 3 3 3 = 3 2016 Edugain (www.edugain.com). All Rights Reserved Many more such worksheets can be generated at www.edugain.com
Answers ID : in-7-multiplication-and-division [3] (1) A) 22 Now 7 8 49 7 can be simplif ied as: 7 8 49 7 = (7) 8 (7 7) 7 = (7) 8 (7 2 ) 7 = 7 8 7 14 = 7 (8 + 14) = 7 22 Theref ore the value of 7 8 49 7 in exponential f orm is 7 22.
B) 42 ID : in-7-multiplication-and-division [4] Now 49 4 343 8 49 5 can be simplif ied as: 49 4 343 8 49 5 = (7 7) 4 (7 7 7) 8 (7 7) 5 = (7 2 ) 4 (7 3 ) 8 (7 2 ) 5 = 7 8 7 24 7 10 = 7 (8 + 24 + 10) = 7 42 Theref ore the value of 49 4 343 8 49 5 in exponential f orm is 7 42.
C) 36 ID : in-7-multiplication-and-division [5] Now 8 4 4 6 4 6 2 8 2 8 can be simplif ied as: 8 4 4 6 4 6 2 8 2 8 = (2 2 2) 4 (2 2) 6 (2 2) 6 (2) 8 2 8 = (2 3 ) 4 (2 2 ) 6 (2 2 ) 6 (2) 8 2 8 = 2 12 2 12 2 12 2 8 2 8 = 2 (12 + 12 + 12 + 8-8) = 2 36 Theref ore the value of 8 4 4 6 4 6 2 8 2 8 in exponential f orm is 2 36.
D) 50 ID : in-7-multiplication-and-division [6] Now 27 4 3 7 3 4 27 9 can be simplif ied as: 27 4 3 7 3 4 27 9 = (3 3 3) 4 (3) 7 (3) 4 (3 3 3) 9 = (3 3 ) 4 (3) 7 (3) 4 (3 3 ) 9 = 3 12 3 7 3 4 3 27 = 3 (12 + 7 + 4 + 27) = 3 50 Theref ore the value of 27 4 3 7 3 4 27 9 in exponential f orm is 3 50.
E) 29 ID : in-7-multiplication-and-division [7] Now 8 2 4 7 2 9 can be simplif ied as: 8 2 4 7 2 9 = (2 2 2) 2 (2 2) 7 (2) 9 = (2 3 ) 2 (2 2 ) 7 (2) 9 = 2 6 2 14 2 9 = 2 (6 + 14 + 9) = 2 29 Theref ore the value of 8 2 4 7 2 9 in exponential f orm is 2 29.
(2) A) 69 ID : in-7-multiplication-and-division [8] Now 9 6 9 3 27 9 27 8 can be simplif ied as: 9 6 9 3 27 9 27 8 = (3 3) 6 (3 3) 3 (3 3 3) 9 (3 3 3) 8 = (3 2 ) 6 (3 2 ) 3 (3 3 ) 9 (3 3 ) 8 = 3 12 3 6 3 27 3 24 = 3 (12 + 6 + 27 + 24) = 3 69 Theref ore the value of 9 6 9 3 27 9 27 8 in exponential f orm is 3 69.
B) 3 ID : in-7-multiplication-and-division [9] Now 2 3 2 3 2 3 can be simplif ied as: 2 3 2 3 2 3 = (2) 3 (2) 3 2 3 = (2) 3 (2) 3 2 3 = 2 3 2 3 2 3 = 2 (3 + 3-3) = 2 3 Theref ore the value of 2 3 2 3 2 3 in exponential f orm is 2 3.
(3) A) 36 ID : in-7-multiplication-and-division [10] Now 25 9 25 2 125 7 5 7 can be simplif ied as: 25 9 25 2 125 7 5 7 = (5 5) 9 (5 5) 2 (5 5 5) 7 5 7 = (5 2 ) 9 (5 2 ) 2 (5 3 ) 7 5 7 = 5 18 5 4 5 21 5 7 = 5 (18 + 4 + 21-7) = 5 36 Theref ore the value of 25 9 25 2 125 7 5 7 in exponential f orm is 5 36.
B) 29 ID : in-7-multiplication-and-division [11] Now 343 5 49 7 can be simplif ied as: 343 5 49 7 = (7 7 7) 5 (7 7) 7 = (7 3 ) 5 (7 2 ) 7 = 7 15 7 14 = 7 (15 + 14) = 7 29 Theref ore the value of 343 5 49 7 in exponential f orm is 7 29.
(4) A) 21 ID : in-7-multiplication-and-division [12] Now 125 6 25 3 5 3 can be simplif ied as: 125 6 25 3 5 3 = (5 5 5) 6 (5 5) 3 5 3 = (5 3 ) 6 (5 2 ) 3 5 3 = 5 18 5 6 5 3 = 5 (18 + 6-3) = 5 21 Theref ore the value of 125 6 25 3 5 3 in exponential f orm is 5 21.
B) 24 ID : in-7-multiplication-and-division [13] Now 9 5 27 7 3 7 can be simplif ied as: 9 5 27 7 3 7 = (3 3) 5 (3 3 3) 7 3 7 = (3 2 ) 5 (3 3 ) 7 3 7 = 3 10 3 21 3 7 = 3 (10 + 21-7) = 3 24 Theref ore the value of 9 5 27 7 3 7 in exponential f orm is 3 24.
(5) A) 44 ID : in-7-multiplication-and-division [14] Now 125 3 5 8 5 6 5 3 125 9 5 9 can be simplif ied as: 125 3 5 8 5 6 5 3 125 9 5 9 = (5 5 5) 3 (5) 8 (5) 6 (5) 3 (5 5 5) 9 5 9 = (5 3 ) 3 (5) 8 (5) 6 (5) 3 (5 3 ) 9 5 9 = 5 9 5 8 5 6 5 3 5 27 5 9 = 5 (9 + 8 + 6 + 3 + 27-9) = 5 44 Theref ore the value of 125 3 5 8 5 6 5 3 125 9 5 9 in exponential f orm is 5 44.
B) 67 ID : in-7-multiplication-and-division [15] Now 3 4 9 7 9 5 27 9 9 6 can be simplif ied as: 3 4 9 7 9 5 27 9 9 6 = (3) 4 (3 3) 7 (3 3) 5 (3 3 3) 9 (3 3) 6 = (3) 4 (3 2 ) 7 (3 2 ) 5 (3 3 ) 9 (3 2 ) 6 = 3 4 3 14 3 10 3 27 3 12 = 3 (4 + 14 + 10 + 27 + 12) = 3 67 Theref ore the value of 3 4 9 7 9 5 27 9 9 6 in exponential f orm is 3 67.
(6) A) 43 ID : in-7-multiplication-and-division [16] Now 4 8 8 9 can be simplif ied as: 4 8 8 9 = (2 2) 8 (2 2 2) 9 = (2 2 ) 8 (2 3 ) 9 = 2 16 2 27 = 2 (16 + 27) = 2 43 Theref ore the value of 4 8 8 9 in exponential f orm is 2 43.
B) 58 ID : in-7-multiplication-and-division [17] Now 49 8 343 8 49 4 343 2 49 4 7 4 can be simplif ied as: 49 8 343 8 49 4 343 2 49 4 7 4 = (7 7) 8 (7 7 7) 8 (7 7) 4 (7 7 7) 2 (7 7) 4 7 4 = (7 2 ) 8 (7 3 ) 8 (7 2 ) 4 (7 3 ) 2 (7 2 ) 4 7 4 = 7 16 7 24 7 8 7 6 7 8 7 4 = 7 (16 + 24 + 8 + 6 + 8-4) = 7 58 Theref ore the value of 49 8 343 8 49 4 343 2 49 4 7 4 in exponential f orm is 7 58.
(7) A) 31 ID : in-7-multiplication-and-division [18] Now 8 6 2 3 4 5 can be simplif ied as: 8 6 2 3 4 5 = (2 2 2) 6 (2) 3 (2 2) 5 = (2 3 ) 6 (2) 3 (2 2 ) 5 = 2 18 2 3 2 10 = 2 (18 + 3 + 10) = 2 31 Theref ore the value of 8 6 2 3 4 5 in exponential f orm is 2 31.
B) 27 ID : in-7-multiplication-and-division [19] Now 125 9 5 9 5 9 can be simplif ied as: 125 9 5 9 5 9 = (5 5 5) 9 (5) 9 5 9 = (5 3 ) 9 (5) 9 5 9 = 5 27 5 9 5 9 = 5 (27 + 9-9) = 5 27 Theref ore the value of 125 9 5 9 5 9 in exponential f orm is 5 27.
(8) A) 30 ID : in-7-multiplication-and-division [20] Now 8 6 8 3 4 3 2 3 can be simplif ied as: 8 6 8 3 4 3 2 3 = (2 2 2) 6 (2 2 2) 3 (2 2) 3 2 3 = (2 3 ) 6 (2 3 ) 3 (2 2 ) 3 2 3 = 2 18 2 9 2 6 2 3 = 2 (18 + 9 + 6-3) = 2 30 Theref ore the value of 8 6 8 3 4 3 2 3 in exponential f orm is 2 30.
B) 34 ID : in-7-multiplication-and-division [21] Now 125 6 5 8 5 8 5 3 5 3 can be simplif ied as: 125 6 5 8 5 8 5 3 5 3 = (5 5 5) 6 (5) 8 (5) 8 (5) 3 5 3 = (5 3 ) 6 (5) 8 (5) 8 (5) 3 5 3 = 5 18 5 8 5 8 5 3 5 3 = 5 (18 + 8 + 8 + 3-3) = 5 34 Theref ore the value of 125 6 5 8 5 8 5 3 5 3 in exponential f orm is 5 34.
(9) A) 32 ID : in-7-multiplication-and-division [22] Now 9 5 9 3 27 8 3 8 can be simplif ied as: 9 5 9 3 27 8 3 8 = (3 3) 5 (3 3) 3 (3 3 3) 8 3 8 = (3 2 ) 5 (3 2 ) 3 (3 3 ) 8 3 8 = 3 10 3 6 3 24 3 8 = 3 (10 + 6 + 24-8) = 3 32 Theref ore the value of 9 5 9 3 27 8 3 8 in exponential f orm is 3 32.
B) 19 ID : in-7-multiplication-and-division [23] Now 25 5 25 9 5 9 can be simplif ied as: 25 5 25 9 5 9 = (5 5) 5 (5 5) 9 5 9 = (5 2 ) 5 (5 2 ) 9 5 9 = 5 10 5 18 5 9 = 5 (10 + 18-9) = 5 19 Theref ore the value of 25 5 25 9 5 9 in exponential f orm is 5 19.
(10) A) 56 ID : in-7-multiplication-and-division [24] Now 125 2 125 5 5 8 125 9 can be simplif ied as: 125 2 125 5 5 8 125 9 = (5 5 5) 2 (5 5 5) 5 (5) 8 (5 5 5) 9 = (5 3 ) 2 (5 3 ) 5 (5) 8 (5 3 ) 9 = 5 6 5 15 5 8 5 27 = 5 (6 + 15 + 8 + 27) = 5 56 Theref ore the value of 125 2 125 5 5 8 125 9 in exponential f orm is 5 56.
B) 13 ID : in-7-multiplication-and-division [25] Now 125 2 5 7 can be simplif ied as: 125 2 5 7 = (5 5 5) 2 (5) 7 = (5 3 ) 2 (5) 7 = 5 6 5 7 = 5 (6 + 7) = 5 13 Theref ore the value of 125 2 5 7 in exponential f orm is 5 13.
(11) A) 55 ID : in-7-multiplication-and-division [26] Now 25 3 125 7 25 8 125 4 can be simplif ied as: 25 3 125 7 25 8 125 4 = (5 5) 3 (5 5 5) 7 (5 5) 8 (5 5 5) 4 = (5 2 ) 3 (5 3 ) 7 (5 2 ) 8 (5 3 ) 4 = 5 6 5 21 5 16 5 12 = 5 (6 + 21 + 16 + 12) = 5 55 Theref ore the value of 25 3 125 7 25 8 125 4 in exponential f orm is 5 55.
B) 15 ID : in-7-multiplication-and-division [27] Now 27 3 27 3 3 3 can be simplif ied as: 27 3 27 3 3 3 = (3 3 3) 3 (3 3 3) 3 3 3 = (3 3 ) 3 (3 3 ) 3 3 3 = 3 9 3 9 3 3 = 3 (9 + 9-3) = 3 15 Theref ore the value of 27 3 27 3 3 3 in exponential f orm is 3 15.