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Name the property used in the following: (3/8) × 1 = 1 × (3/8) = (3/8)

Solution (3/8) × 1 = 1 × (3/8) = (3/8) The given expression can be associated with the Multiplicative identity of a rational... View Article

Name the property used in the following: (-2/7) + 0 = 0 + (-2/7) = (-2/7)

Solution (-2/7) + 0 = 0 + (-2/7) = (-2/7) The given expression can be associated with the Additive identity of rational numbers. Additive... View Article

Name the property used in the following: (1/3) + [(4/9) + (-4/3)] = [(1/3) + (4/9)] + [-4/3]

Solution (1/3) + [(4/9) + (-4/3)] = [(1/3) + (4/9)] + [-4/3] The given expression can be associated with the associative property.... View Article

Name the property used in the following: (-2/3) × [(3/4) + (-1/2)] = [(-2/3) × (3/4)] + [(-2/3) × (1/2)]

Solution (-2/3) × [(3/4) + (-½)] = [(-2/3) × (3/4)] + [(-2/3) × (½)] The given expression can be... View Article

Name the property used in the following: (-7/4) × (-3/4) = (-3/5) × (-7/11)

Solution (-7/4) × (-3/4) = (-3/5) × (-7/11) The given expression can be associated with the commutative property.... View Article

Tell which property allows you to compare (2/3) × [3/4 × (5/7)] and [(2/3) × (5/7)] × 3/4

Solution (2/3) × [¾ × (5/7)] and [(2/3) × (5/7)] × 3/4 The given expression can be associated with the... View Article

A mother and her two daughters got a room constructed for ₹ 62,000. The elder daughter contributes 3/8 of her mother’s contribution while the younger daughter contributes 1/2 of her mother’s share. How much do the three contribute individually?

Given A mother and her two daughters got a room constructed for = ₹ 62,000 The elder daughter's contribute = of her mother’s share The... View Article

Huma, Hubna and Seema received a total of ₹ 2,016 as monthly allowance from their mother such that Seema gets 1/2 of what Huma gets and Hubna gets 1(2/3) times Seema’s share. How much money do the three sisters get individually?

Given Total monthly allowance received by Huma, Hubna and Seem = ₹ 2,016 from their mother Seema gets allowance = of Huma’s share... View Article

2/5 of total number of students of a school come by car while 1/4 of students come by bus to school. All the other students walk to school of which 1/3 walk on their own and the rest are escorted by their parents. If 224 students come to school walking on their own, how many students study in that school?

Given The number of students who come by car = (2/5) × Total number of students The number of students who come by bus = (¼)... View Article

1/6 of the class students are above average, 1/4 are average and rest are below average. If there are 48 students in all, how many students are below average in the class?

Given From the given details Number of students in the class are above average = 1/6 Number of students in the class are average =... View Article

7/11 of all the money in Hamid’s bank account is ₹ 77,000. How much money does Hamid have in his bank account?

Given From the given details 7/11 of all the money in Hamid’s bank account = ₹ 77,000 Find out We have to determine the amount... View Article

If 16 shirts of equal size can be made out of 24m of cloth, how much cloth is needed for making one shirt?

Given From the given details The 16 shirts are made out of= 24m of cloth. Find out We have to determine the cloth needed for making one... View Article

A train travels 1445/2 km in 17/2 hours. Find the speed of the train in km/h.

Given From the given details Distance travelled by train = 1445/2 km Time taken by the train to cover distance 1445/2 = 17/2 hours Find... View Article

The cost of 19/4 metres of wire is ₹ 171/2. Find the cost of one metre of the wire.

Given From the given details The cost of 19/4 meters of wire is = ₹ 171/2 Find out We have to determine the cost of one meter of... View Article

Identify the rational number that does not belong with the other three. Explain your reasoning (-5/11), (-1/2), (-4/9), (-7/3)

Solution Given set of rational numbers are: (-5/11), (-1/2), (-4/9), (-7/3) The rational number that does not belong with the other three is... View Article

Use the distributivity of multiplication of rational numbers over addition to simplify. (a) (3/5) × [(35/24) + (10/1)] (b) (-5/4) × [(8/5) + (16/15)] (c) (2/7) × [(7/16) – (21/4)] (d) 3/4 × [(8/9) – 40]

Solution (a) (3/5) × [(35/24) + (10/1)] Answer According to the distributivity property of multiplication of rational numbers over... View Article

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