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7th Grade > Mathematics

FRACTIONS AND DECIMALS MCQs

Fractions, Decimals

Total Questions : 227 | Page 9 of 23 pages
Question 81. Convert the following fractions into decimals and find the sum of these decimals that rounded up to 2 decimal places.
 12, 52, 49, 520, 310, 7100, 1002, 10000010000000, 1248, 999, 525
Ans: ___
 Discuss Question

:
12=0.5
52=2.5
49=0.4444
520=0.25
310=0.3
7100=0.07
1002=50
10000010000000=0.01
1248=0.25
999=0.09090909
525=0.20
∴ Sum = 54.615
When rounded up to two decimal place,
Then Sum = 54.62
Question 82. Convert the following fractions into decimals and find the sum of these decimals that rounded up to 2 decimal places.
 12, 52, 49, 520, 310, 7100, 1002, 10000010000000, 1248, 999, 525
Ans: ___
 Discuss Question

:
12=0.5
52=2.5
49=0.4444
520=0.25
310=0.3
7100=0.07
1002=50
10000010000000=0.01
1248=0.25
999=0.09090909
525=0.20
∴ Sum = 54.615
When rounded up to two decimal place,
Then Sum = 54.62
Question 83. A bag contains 25 kg of rice at ₹ 20.04 per kg and 20 kg of dal at ₹ 15.28 per kg. What is the total cost of 5 such bags?
  1.    ₹ 4033
  2.    ₹ 4038.36
  3.    ₹ 4038.92
  4.    ₹ 4040.40
 Discuss Question
Answer: Option A. -> ₹ 4033
:
A
Cost of rice in one bag = 25×20.04
=₹501
Cost of dal in one bag = 20×15.28
=₹305.6
Total cost of one bag = 501 + 305.6
=₹806.6
Cost of 5 such bags = 5×806.6
=₹4033
Question 84. On multiplying a decimal number by 100, we shift the decimal point  (i) ______  places to the  (ii) ______  and on dividing a decimal number by 100, we shift the decimal point,  (iii)_______  places to the  (iv) _______.
  1.    i) two ii) left iii) two iv) right
  2.    i) one ii) right iii) one iv) left
  3.    i) two ii) right iii) one iv) left
  4.    i) two ii) right iii) two iv) left
 Discuss Question
Answer: Option D. -> i) two ii) right iii) two iv) left
:
D
Let's take an example and visualize.
2.48×100=248.0 [Decimal point shifted two places to the right]
2480÷100=2480100=24.80 [Decimal point shifted two places to the left]
Question 85. 0.010.001+0.0010.01 equals ______.
  1.    10.101
  2.    100.1
  3.    10.01
  4.    10.1
 Discuss Question
Answer: Option D. -> 10.1
:
D
0.010.001=0.01×10.001=0.01×10001
=10
0.0010.01=0.001×10.01=0.001×1001
=0.1
⟹0.010.001+0.0010.01 =10+0.1=10.1
Question 86. 4 kg of fruits are shared equally among 5 children. How many grams of fruits does each child get?
  1.    700 g
  2.    800 g
  3.    80 g
  4.    70 g
 Discuss Question
Answer: Option B. -> 800 g
:
B
Total weightof fruits = 4 kg
Total number of children among whom the fruits are to be shared equally= 5
Thus, the total quantityof fruits each child would get = 45kg
= 45 ×1000grams
=40005g
= 800 g
Question 87. (0.89345×1000)+8.9345−893.45=  
  1.    89.345
  2.    8.9345
  3.    893.45
  4.    8934.50
 Discuss Question
Answer: Option B. -> 8.9345
:
B
Shifting the decimal point 3 places to the right of the decimal number 0.89345, we have
0.89345×1000=893.45
∴(0.89345×1000)+8.9345−893.45
=893.45+8.9345−893.45
=0+8.9345
=8.9345
Question 88. A bag contains 25 kg of rice at ₹ 20.04 per kg and 20 kg of dal at ₹ 15.28 per kg. What is the total cost of 5 such bags?
  1.    ₹ 4033
  2.    ₹ 4038.36
  3.    ₹ 4038.92
  4.    ₹ 4040.40
 Discuss Question
Answer: Option A. -> ₹ 4033
:
A
Cost of rice in one bag = 25×20.04
=₹501
Cost of dal in one bag = 20×15.28
=₹305.6
Total cost of one bag = 501 + 305.6
=₹806.6
Cost of 5 such bags = 5×806.6
=₹4033
Question 89. (0.89345×1000)+8.9345−893.45=  
  1.    89.345
  2.    8.9345
  3.    893.45
  4.    8934.50
 Discuss Question
Answer: Option B. -> 8.9345
:
B
Shifting the decimal point 3 places to the right of the decimal number 0.89345, we have
0.89345×1000=893.45
∴(0.89345×1000)+8.9345−893.45
=893.45+8.9345−893.45
=0+8.9345
=8.9345
Question 90. 0.010.001+0.0010.01 equals ______.
  1.    10.101
  2.    100.1
  3.    10.01
  4.    10.1
 Discuss Question
Answer: Option D. -> 10.1
:
D
0.010.001=0.01×10.001=0.01×10001
=10
0.0010.01=0.001×10.01=0.001×1001
=0.1
⟹0.010.001+0.0010.01 =10+0.1=10.1

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