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Word problems on decimals are solved here step by step.
1. The product of two numbers is 42.63. If one number is 2.1, find the other.
Solution:
Product of two numbers = 42.63
One number = 2.1
Other number = 42.63 ÷ 2.1
= 426.3 ÷ 21
Therefore, the other number is = 20.3
Answers: 20.3
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2. John bought 9.25 m of cloth for $425.50. Find the cost price per metre.
Solution:
Cloth bought by John = 9.25 m
Cost of 9.25 m = $425.50
Cost per metre = 425.50 ÷ 9.25
= 42550 ÷ 925
The cost of the cloth per metre = $ 46
Answers: $46
3. One kg Basmati rice costs $ 43.75. Find the cost of 17 kg of rice.
Solution:
Cost of 1 kg rice = 43.75
Cost of 17 kg rice = 43.75 × 17
Therefore, 17 kg rice cost $743.75
Answers: $743.75
4. Nitheeya spent $35.75 on Physics book and $32.60 on Chemistry book. Then find the total amount spent by Nitheeya.
Solution:
Money spent on Physics book = 35 . 75
Money spent on Chemistry book = + 32 . 60
Total amount spent = 68 . 35
Hence, the amount spent by Nitheeya is 68.35.
5. Nairitee bought 24.50 kg onions, 12.40 kg potatoes and 7.450 kg tomatoes. Find the weight of the vegetables she bought in all.
Solution:
Weight of onions = 24.50 kg
Weight of potatoes = 12.40 kg
Weight of tomatoes = 7.450 kg
Therefore, total weight of the vegetables bought is:
24 . 500 kg
+ 12 . 400 kg
+ 7 . 450 kg
44 . 350 kg
Thus, total weight of the vegetables bought = 44.350 kg.
6. Michael spent $ 90.50 and Robert spent $ 67.25 on a picnic. How much more money was spent by Michael than Robert?
Solution:
Michael spent = $ 90 . 50
Robert spent = – $ 67 . 25
Difference = $ 23 . 25
Therefore, Michael spent $ 23.25 more than Robert.
Worksheet on Word Problems on Decimals
I. Solve the following decimal word problems.
(i) Steven bought sugar for ₹ 120.75, wheat for ₹ 180.50 and pulses for ₹ 80.50. What amount is left with him if he had ₹ 500.50 with him?
(ii) Nairitee added 213.75 and 117.20. She multiplied the sum by 2.5 and then divided the product by 2.5. What number did she get?
(iii) Richard purchased a story book for ₹ 200.75, a geometry box for ₹ 152.50 and a pack of oil pastel for ₹ 135.25. He gave ₹ 500 to the shopkeeper and got some money back. At home, he got ₹ 325 from his mother. How much money is with him now?
(iv) Nitheeya had ₹ 3129.38 in her pocket. She got some money from her father. She gave ₹ 4249.38 to Nairitee. If no amount is left with her, how much did she get from her father?
(v) 165.55 l of milk is filled in 55 cans equally. How much milk is filled in each con?
(vi) Mary, Kate and Nancy weight 25.5 kg, 28.3 kg and 30.5 kg respectively. Sam weighs 10.5 kg less than the sum of the weight of Mary, Kate and Nancy. What is the weight of Sam?
(vii) A container weighs 25.345 kg. What will be the weight of 24 such containers?
(viii) 22 boxes weigh 48.400 kg. What will be the weight of 2 boxes?
(ix) 3.75 m cloth is required to stitch a school uniform. How much cloth is needed to stitch 21 school uniforms?
(x) Subtract 36.20 from 82.19. Add 16.09 to the difference and then multiply the sum by 3.2.
Answer:
I. (i) ₹ 118.75
(ii) 330.95
(iii) ₹ 336.50
(iv) ₹ 1120
(v) 3.01 l
(vi) 73.8 kg
(vii) 608.28 kg
(viii) 4.4 kg
(ix) 78.75 m
(x) 198.656
II. Solve the following Word problems on Multiplication of Decimals:
(i) A milk bottle contains 4.75 l of milk. How much milk will 25 such bottles contains?
(ii) Nitheeya bought 28.45 l of milk at the rate of ₹ 21.50 per litre. How much did she spend?
(iii) Nairitee bought 23.95 m of cloth at the rate of ₹ 100 per metre. How much did she spend?
(iv) A petrol container weighs 375.55 kg. What will be the weight of 1000 such petrol containers?
Answer:
II. (i) 118.75 l
(ii) ₹ 611.675
(iii) ₹ 2395
(iv) 375550 kg
● Decimal.
Expanded form of Decimal Fractions.
Changing Unlike to Like Decimal Fractions.
Comparison of Decimal Fractions.
Conversion of a Decimal Fraction into a Fractional Number.
Conversion of Fractions to Decimals Numbers.
Addition of Decimal Fractions.
Subtraction of Decimal Fractions.
Multiplication of a Decimal Numbers.
Multiplication of a Decimal by a Decimal.
Properties of Multiplication of Decimal Numbers.
Division of a Decimal by a Whole Number.
Division of Decimal Fractions by Multiples.
Division of a Decimal by a Decimal.
Division of a whole number by a Decimal.
Conversion of fraction to Decimal Fraction.
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