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... View Article
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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... 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 associated... 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. Commutative property For... 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 associative... 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 =... 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 =... 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... 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... 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... 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... 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... 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... 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... View Article
Simplify: (7/8) + (1/6) – (1/12)
Solution = (7/8) + (1/6) – (1/12) = ((14 + 1)/16) – (1/12) = (15/16) – (1/12) = (45-4)/48 =... View Article
Simplify: (3/7) + (-2/21) × (-5/6)
Solution = (3/7) – (2/21) × (-5/6) = (3/7) – (1/21) × (-5/3) = (3/7) – (-5/63) = (3/7) +... View Article
Simplify: (3/7) × (28/15) ÷ (14/5)
Solution = (3/7) × (28/15) ÷ (14/5) = (1/1) × (4/5) ÷ (14/5) = (4/5) ÷ (14/5) = (4/5) ×... View Article
Simplify: (32/5) + (23/11) × (22/15)
Solution = (32/5) + (23/1) × (2/15) = (32/5) + (46/15) = (96 + 46)/15 = 142/15 (32/5) + (23/11)... 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 addition, a... View Article
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking. (a) x = -1/2, y = 3/4, z = 1/4 (b) x = -1/2, y = 2/3, z = 3/4 (c) x = -2/3, y = -4/6, z = -7/9 (d) x = -1/5, y = 2/15, z = -3/10
Solution (a) x = -1/2, y = 3/4, z = 1/4 Solution:- According to the given data we have to... View Article
