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Chapter 5: Operations on Rational Numbers Exercise – 5.4 Question: 1 Divide: Solution: Question: 2 Find the value and express as a rational number in standard form: Solution: Question: 3 The product of two rational numbers is 15. If one of the numbers is -10, find the other. Solution: Let the number to be found be x x ×- 10 = 15 x = 15/(-10) x = 3/(-2) x = (-3)/2 Hence the number is x = (-3)/2 Question: 4 The product of two rational numbers is - 8/9. If one of the numbers is - 4/15, find the other. Solution: Let the number to be found be x Hence the number is x = 10/3 Question: 5 By what number should we multiply -1/6 so that the product may be -23/9? Solution: Let the number to be found be x Hence the number is x = 46/3 Question: 6 By what number should we multiply -15/28 so that the product may be -5/7? Solution: Let the number to be found be x Hence the number is x = 4/3 Question: 7 By what number should we multiply -8/13 so that the product may be 24? Solution: Let the number to be found be x x = - 39 Hence the number is x = - 39 Question: 8 By what number should -3/4 be multiplied in order to produce -2/3? Solution: Let the number to be found be x x = 8/9 Hence the number is x = 8/9 Question: 9 Find (x + y) ÷ (x —y), if Solution: Question: 10 The cost of 7(2/3) metres of rope is Rs. 12(3/4). Find its cost per metre. 7(2/3) metres of rope cost = Rs. 12(3/4). Solution: Question: 11 The cost of 2(1/3) metres of cloth is Rs.75 1/4. Find the cost of cloth per metre. 2(1/3) metres of rope cost = Rs. 75(1/4) Solution: Question: 12 By what number should (-33)/16 be divided to get (-11)/4? Solution: x = 3/4 The number is x = 3/4 Question: 13 Divide the sum of (-13)/5 and 12/7 by the product of (-31)/7 and (-1)/2 Solution: Question: 14 Divide the sum of 65/12 and 8/3 by their difference. Solution: Question: 15 If 24 trousers of equal size can be prepared in 54 metres of cloth, what length of cloth is required for each trouser? Solution: = 54/24 = 9/4 metres 9/4 metres of cloth is required to make each trouser
Divide:
Find the value and express as a rational number in standard form:
The product of two rational numbers is 15. If one of the numbers is -10, find the other.
Let the number to be found be x
x ×- 10 = 15
x = 15/(-10)
x = 3/(-2)
x = (-3)/2
Hence the number is x = (-3)/2
The product of two rational numbers is - 8/9. If one of the numbers is - 4/15, find the other.
Hence the number is x = 10/3
By what number should we multiply -1/6 so that the product may be -23/9?
Hence the number is x = 46/3
By what number should we multiply -15/28 so that the product may be -5/7?
Hence the number is x = 4/3
By what number should we multiply -8/13 so that the product may be 24?
x = - 39
Hence the number is x = - 39
By what number should -3/4 be multiplied in order to produce -2/3?
x = 8/9
Hence the number is x = 8/9
Find (x + y) ÷ (x —y), if
The cost of 7(2/3) metres of rope is Rs. 12(3/4). Find its cost per metre. 7(2/3) metres of rope cost = Rs. 12(3/4).
The cost of 2(1/3) metres of cloth is Rs.75 1/4. Find the cost of cloth per metre. 2(1/3) metres of rope cost = Rs. 75(1/4)
By what number should (-33)/16 be divided to get (-11)/4?
x = 3/4
The number is x = 3/4
Divide the sum of (-13)/5 and 12/7 by the product of (-31)/7 and (-1)/2
Divide the sum of 65/12 and 8/3 by their difference.
If 24 trousers of equal size can be prepared in 54 metres of cloth, what length of cloth is required for each trouser?
= 54/24
= 9/4 metres
9/4 metres of cloth is required to make each trouser
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Chapter 5: Operations on Rational Numbers Exercise...