Word Problem: Decimals - 1 | Mathematics for Class 4 PDF Download

Q1: Write each of the following as decimals:
(a) 5/100
(b) 17/10
(c) 87/1000
(d) 9/100
(e) 81/1000
(f) 2222/100
Sol:
(a) 0.05
(b) 1.7
(c) 0.087
(d) 0.09
(e) 0.081
(f) 22.22

Q2: Express each of the following as decimals and find the number of decimal places in each.
(a) 37/100
(b) 11/1000
(c) 9/100
(d) 739/10
(e) 1234/1000
(f) 495/10
Sol:
(a) 0.37; 2
(b) 0.011; 3
(c) 0.09; 2
(d) 73.9; 1
(e) 1.234; 3
(f) 49.5; 1

Q3: Express each of the following as decimals:
(a) 17/5
(b) 231/2
(c) 1297/4
(d) 347/50
(e) 1234/25
Sol:
(a) 3.4
(b) 115.5
(c) 324.25
(d) 6.94
(e) 49.36

Q4: Express each of the following as fractions:
(a) 3.47
(b) 17.001
(c) 0.97
(d) 2.09
(e) 0.009
Sol:
(a) 347/100
(b) 17001/1000
(c) 97/100
(d) 209/100
(e) 9/1000

Q5: Express each of the following as fractions in the lowest form:
(a) 18.64
(b) 0.008
(c) 165.2
(d) 0.28
(e) 3.5
Sol:
(a) 466/25
(b) 1/125
(c) 826/5
(d) 7/25
(e) 7/2

Q6: Write the place and place value of the underlined digits:
(a) 8.013
(b) 53.31
(c) 100.92
(d) 11.381
(e) 0.004
Sol:
(a) thousandths; 0.003
(b) tens; 50
(c) tenths; 0.9
(d) hundredths, 0.08
(e) tenths; 0

Q7: Convert each of these unlike decimals into like decimals:
(a) 0.1, 3.68, 1
(b) 1.11, 12.754, 92.5, 17
(c) 8.39, 9.236, 24.8, 263.07, 3
(d) 0.91, 65.87, 21, 9.3064
(e) 8.5, 2.04, 3.0075
(f) 24.6, 2.83, 0.951
(g) 1.14, 2.8, 7.003, 0.0124
(h) 0.13, 23.5, 1.9
Sol:
(a) 0.10, 3.68, 1.00
(b) 1.110, 12.754, 92.500, 17.000
(c) 8.390, 9.236, 24.800, 263.070, 3.000
(d) 0.9100, 65.8700, 21.0000, 9.3064
(e) 8.5000, 2.0400, 3.0075
(f) 24.600, 2.830, 0.951
(g) 1.1400, 2.8000, 7.0030, 0.0124
(h) 0.13, 23.50, 1.90

Q8: Why do we write the zero in 0.2?
(a) To remind us that the number is less than one.
(b) To remind us that the number is more than one.
(c) Because it has no value.
(d) None of these.
Sol: (a)
Zero as prefix before the decimal indicates that the number is smaller than 1.

Q9: Fill in the missing numbers to complete the pattern: 4.4, ____, 4.8, ____, 5.2. 5.4
(a) 4.5, 5
(b) 4.7, 5.1
(c) 4.6, 5
(d) 4.5, 5.1
Sol: (c)
4.4, ___, 4.8, ____, 5.2, 5.4. By studying the pattern we can see that the previous number is smaller than the next by 0.2. Thus by adding 0.2 to 4.4 and 4.8 respectively, we get 4.6 and 5 to complete the decimal chain.

Q10: Fill in the missing numbers to complete the pattern: ____, 2.00, 2.02, 2.04, ____, 2.08
(a) 1.8, 2.06
(b) 1.98, 2.06
(c) 1.8, 2.60
(d) 1.9, 2.05
Sol: (b)
____, 2.00, 2.02, 2.04, ____, 2.08. By studying the pattern we can see that the previous number is smaller than the next by 0.02. Thus by adding 0.02 to 2.04 and subtracting 0.02 from 2.00, we get 1.98 and 2.06 to complete the decimal chain.

Q11: What sign makes the sentence true? 818/1000____0.8
(a) >
(b) <
(c) =
(d) None of these
Sol: (a)
818/1000 _____ 0.8; 0.818 > 0.8

Q12: Look at the calculations carefully and choose the correct answer.
Statement A: 0.34 = 0.340
Statement B: 345 = 3450
(a) Only A is true.
(b) Only B is true.
(c) Both A and B are true.
(d) Both A and B are false.
Sol: (a)
Only A is true. 0.34 is equal to 0.340 because the zero after the decimals in the end does not hold any significance.

Q13: The train leaving platform 1 at 14.25 pm will arrive at 16.07 pm. How long will the train take?
A) 1 hour 42 minutes
B) 2 hours 35 minutes
C) 2 hours 12 minutes
D) 1 hours 22 minutes
Sol: (a)
The train leaving platform 1 at 14.25 pm will arrive at 16.07 pm in 1 hour 42 minutes.

Q14: A play station game cost £29.99, but the price went down by £4.75. How much does it cost now?

A) £26.25
B) £34.74
C) £25.24
D) £32.24
Sol: (c)
Present cost of play station = £29.99, decrement in price = £4.75. New price = £(29.99-4.75) = £25.24.

Q15: The value of fuel is Rs.67.6. The price went up by 36 poise. What is the new price?
A) Rs.103.96
B) Rs.103.60
C) Rs.67.24
D) Rs.67.96
Sol: d
Old price = Rs.67.6, increment in price = 36 paise or Rs.36/100 = 0.36, Thus new price = Rs.67.6 + .36 = 67.96