Worksheet on Decimals

Solved Questions on Decimals

1. The product of the two numbers is 18.585. If one number is 5.9, what is the other number?

a) 3.05
b) 3.15
c) 3.25
d) 3.95

Answer: b) 3.15

Explanation: Product of the two numbers = 18.585

One number = 5.9

Other number = 18.585 ÷ 5.9 = 3.15

2. The fat content is 213 grams in one kilogram of pure milk. What is the fat content in 195 kilograms of milk?

a) 41 kg 235 g
b) 41 kg 335 g
c) 41 kg 435 g
d) 41 kg 535 g

Answer: d) 41 kg 535 g

Explanation: Fat content in 1 kilogram of pure milk = 213 g ÷ 1000 = 0.213 kg

Fat content in 195 kilograms of milk = (195 × 0.213) kg
= 41.535 kg
= 41 kg + 0.535 kg
= 41 kg + (0.535 × 1000) g
= 41 kg + 535 g
= 41 kg 535 g

3. Billy purchased 5 litres of 400 millilitres of mustard oil, 2 litres of 20 millilitres of soya bean oil and 10 litres of 850 millilitres of sunflower oil. What is the total volume of his purchases?

a) 18 L 070 mL
b) 18 L 270 mL
c) 18 L 470 mL
d) 18 L 670 mL

Answer: b) 18 L 270 mL

Explanation: Billy purchased mustard oil = 5 L 400 mL
= 5 L + 400 mL
= 5 L + (400/1000) L
= 5 L + 0.4 L
= 5.4 L

Billy purchased soya been oil = 2 L 20 mL
= 2 L + 20 mL
= 2 L + (20/1000) L
= 2 L + 0.02 L
= 2.02 L

Billy purchased sunflower oil = 10 L 850 mL
= 10 L + 850 mL
= 10 L + 850 mL
= 10 L + (850/1000) L
= 10 L + 0.85 L
= 10.85 L

Total volume of his purchases = (5.4 + 2.02 + 10.85) L
= (5.400 + 2.020 + 10.850) L
= 18.270 L
= 18 L + 0.270 L
= 18 L + (0.270 × 1000) mL
= 18 L + 270 mL
= 18 L 270 mL

Addition is shown as:

4. If the bags of Mark Cope and Carlo Moss weigh 5.2 kilograms and 4.832 kilograms, respectively, what is the difference in weight between their bags?

a) 268 grams
b) 286 grams
c) 368 grams
d) 386 grams

Answer: c) 368 grams

Explanation: Weight of bag of Mark Cope = 5.2 kg

Weight of bag of Carlo Moss = 4.832 kg

Difference in weight between their bags = (5.2 − 4.832) kg
                                                           = (5.200 − 4.832) kg
                                                            = 0.368 kg
                                                             = (0.368 × 1000) g
                                                              = 368 g

Subtraction is shown as:

5. Which of the following statements in words for the decimal number 37.039?

a) Thirty-seven point thirty-nine
b) Thirty-seven-point ninety-thre
c) Thirty-seven point zero three-nine
d) Thirty-seven point zero nine three

Answer: c) Thirty-seven point zero three nine

Explanation: Statement in words for the decimal number 37.039 is thirty-seven point zero three nine.