The DAV Class 5 Maths Book Solutions Pdf and DAV Class 5 Maths Chapter 5 Brain Teasers Solutions of Decimals offer comprehensive answers to textbook questions.
DAV Class 5 Maths Ch 5 Brain Teasers Solutions
Question 1.
Tick (✓) the correct answer.
(a) The decimal number formed by interchanging the digit in the tenths place and tens place of 68.49 is-
(i) 89.49
(ii) 68.94
(iii) 86.94
(iv) 48.69
Solution:
(iv) 48.69
(b) The smallest decimal number amongst the following is-
(i) 0.001
(ii) 0.01
(iii) 0.0001
(iv) 0.1
Solution:
(iii) 0.001
(c) The product of digits in the tenths place and thousandths place of 15.246 is-
(i) 12
(ii) 10
(iii) 24
(iv) 8
Solution:
(i) 12
(d) The smallest decimal number formed by using the digits 1, 0, and 8 is-
(i) .108
(ii) .81
(iii) .018
(iv) .081
Solution:
(iii) .018
(e) Which mathematical symbol should be inserted between 5 and 6 so as to get a number greater than 5 but less than 6?
(i) +
(ii) –
(iii) .
(iv) =
Solution:
(iii) .
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Question 2.
Look at the given number and answer the questions that follow:
287.149
(а) What digit is in the tens place?
Solution:
8
(b) What digit is in tenths place?
Solution:
1
(c) What is the place of 9?
Solution:
Thousandths
Question 3.
Write as a decimal number.
(a) 5\(\frac{3}{10}\)
Solution:
5.3
(b) 6\(\frac{91}{100}\)
Solution:
6.91
(c) 39\(\frac{18}{100}\)
Solution:
39.18
(d) 7\(\frac{394}{1000}\)
Solution:
7.394
(e) 187\(\frac{7}{10}\)
Solution:
187.7
(f) 99\(\frac{999}{1000}\)
Solution:
99.999
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Question 4.
Write as fractions or mixed numbers.
(a) 0.42
Solution:
\(\frac{42}{100}\)
(b) 0.05
Solution:
\(\frac{5}{1000}\)
(c) 0.86
Solution:
\(\frac{86}{100}\)
(d) 12.82
Solution:
12\(\frac{82}{100}\)
(e) 20.108
Solution:
20\(\frac{108}{1000}\)
Question 5.
Write the number names.
(a) 15.82
Solution:
Fifteen and eighty two hundredths.
(b) 76.891
Solution:
Seventy six and eight hundred ninety one thousandths.
Question 6.
Present the following numbers on a place value chart:
(a) 6.82
(b) 14.257
Solution:

Question 7.
Write in the expanded form.
(a) 4.82
Solution:
4.82 = 4 + \(\frac{8}{10}+\frac{2}{100}\)
= 4 ones + 8 tenths + 2 hundredths
(b) 16.57
Solution:
16.57 = 10 + 6 + \(\frac{5}{10}+\frac{7}{100}\)
= 1 tens + 6 ones + 5 tenths + 7 hundredths
(c) 108.003
Solution:
108.003 = 100 + 8 + \(\frac{3}{1000}\)
= 1 hundreds + 8 ones + 3 thousandths
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Question 8.
Write the fraction for 0.0002.
Solution:
\(\frac{2}{10000}\)
Question 9.
Change the following into like decimals.
(a) 4.8; 43.659; 0.48; 0.4; 436.82
Solution:
4.8; 43.659; 0.48; 0.4; 436.82
maximum number of decimal places is 3
So 4.800, 43.659, 0.480, 0.400, 436.820
(b) 7.7; 7.77; 777.7; 7.777; 0.77
Solution:
7.7; 7.77; 777.7; 7.777; 0.77
Maximum number of decimal places is 3.
So 7.700, 7.770, 777.700, 7.777, 0.770
Question 10.
Arrange the group of decimals in descending order.
(а) 0.3, 0.333, 3.3, 33.3
Solution:
0.300, 0.333, 3.300, 33.300 (like decimals)
Descending Order
33.300 > 3.300 > 0.333 > 0.300
33.3, 3.3, 0.333, 0.3
(b) 567.38, 576.83, 576.9, 567.3
Solution:
567.38, 576.83, 576.90, 567.30 (like decimals)
Descending Order
576.90 > 576.83 > 567.38 > 567.30
576.9, 576.83, 567.38, 567.3
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Question 11.
Write the decimal numbers to match the statements. The first one is done for you.
(a) 8 in the hundredths place, 6 in the tenths place, 3 in the ones place, and 1 in the tens place.
Solution:
13.68
(b) 9 in the one’s place, 4 in the tens place 6 in the hundredths place, and 0 in the tenths place.
Solution:
49.06
(c) 7 in the thousandth place, 0 in the hundredth place, 1 in the tenths place, 5 in the ones place, and 3 in the tens place.
Solution:
35.107
(d) 7 in the tenths place, 6 in the tens place 4 in the hundredths place, 2 in the hundreds place, and 0 in the one’s place.
Solution:
260.74
Additional Questions
Question 1.
Write as decimals.
(a) \(\frac{3}{100}\)
Solution:
0.03
(b) \(\frac{2}{10}\)
Solution:
0.2
(c) \(\frac{7}{100}\)
Solution:
0.07
(d) \(\frac{9}{100}\)
Solution:
0.09
(e) 27\(\frac{3}{10}\)
Solution:
27.3
(f) 39\(\frac{4}{10}\)
Solution:
39.4
(g) 101\(\frac{7}{100}\)
Solution:
101.07
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Question 2.
Write the number’s name.
(a) 225.9
Solution:
Two hundred twenty five and nine tenths.
(b) 27.07
Solution:
Twenty seven and seven hundredths.
(c) 38.116
Solution:
Thirty eight and one hundred sixteen thousandths.
(d) 8.1
Solution:
Eight and one tenths.
(e) 9.003
Solution:
Nine and three thousandths.
Question 3.
Write the whole number part and decimal number part in each of the following:

Solution:

Question 4.
Fill in the blanks.
(i) 876.03 : 6 is in _______ place.
Solution:
ones
(ii) 26.34 : 4 is in _______ place.
Solution:
hundredths
(iii) 0.335 : 5 is in _______ place.
Solution:
thousandths
(iv) 31.34 : 3 is in _______ place and _______ place.
Solution:
tens, tenths
(v) 126.036: 0 is in _______ place.
Solution:
tenths
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Question 5.
Write the expanded form of the following:
(a) 86.115 = _______
Solution:
86.115 = 80 tens + 6 ones + 1 tenths + 1 hundredths + 5 thousandths
= 80 + 6 + \(\frac{1}{10}+\frac{1}{100}+\frac{5}{1000}\)
(b) 20.107 = _______
Solution:
20.107 = 2 tens + 1 tenth + 7 thousandths
= 20 + \(\frac{1}{10}+\frac{7}{1000}\)
(c) 276.001 = _______
Solution:
276.001 = 2 hundreds + 7 tens + 6 ones + 1 thousandths
= 200 + 70 + 6 + \(\frac{1}{1000}\)
(d) 15.17 = _______
Solution:
15.17 = 10 tens + 5 ones + 1 tenths + 7 hundredths
= 10 + 5 + \(\frac{1}{10}+\frac{7}{100}\)
(e) 176.003 = _______
Solution:
176.003 = 1 hundreds + 7 tens + 6 ones + 3 thousandths
= 100 + 70 + 6 + \(\frac{3}{1000}\)
Question 6.
Compare the following pair of decimal numbers.
(a) 7.86 _______ 7.68
Solution:
7.86 < 7.68
(Compare tenths place)
(b) 75.825 _______ 75.920
Solution:
75.825 < 75.920
(Compare tenths place)
(c) 121.32 _______ 120.30
Solution:
121.32 > 120.30
(Compare whole number part)
(d) 8.32 _______ 8.320
Solution:
8.32 = 8.320
(Convert into like decimals and then compare)
(e) 56.073 _______ 56.730
Solution:
56.073 < 56.730
(Compare tenths place)
(f) 32.561 _______ 32.531
Solution:
32.561 > 32.531
(Compare hundredths place)
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Question 7.
Write ‘True’ or ‘False’ for the following.
(a) The decimal number formed by interchanging the digit in hundreds place and hundredths place of 176.705 is 576.701.
Solution:
False
(b) The expanded form of 76.103 is 70 + 6 + \(\frac{1}{10}+\frac{3}{1000}\)
Solution:
True
(c) The smallest decimal number formed using the digits 2, 0, and 7 is .270.
Solution:
False
(d) 76\(\frac{3}{10}\) is written in decimal number as 76.03.
Solution:
False
(e) 0.38 is written as \(\frac{38}{100}\).
Solution:
True
Question 8.
Present the following numbers on the place value chart.
(a) 13.036
(b) 26.177
(c) 30.105
(d) 0.007
Solution:

Question 9.
Write the number names.
(a) 76.820
Solution:
Seventy six and eight hundred twenty thousandths.
(b) 6.028
Solution:
Six and twenty eight thousandths.
(c) 101.326
Solution:
One hundred one and three hundred twenty six thousandths.
(d) 20.106
Solution:
Twenty and one hundred six thousandths.
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Question 10.
Compare the following.
(a) 31.361 _______ 31.368
Solution:
31.361 < 31.368
(b) 2.134 _______ 2.143
Solution:
2.134 < 2.143
(c) 5.331 _______ 5.330
Solution:
5.331 > 5.330
(d) 9.010 _______ 9.001
Solution:
9.010 > 9.001
(e) 10.346 _______ 10.317
Solution:
10.346 > 10.317
Question 11.
Arrange in ascending order.
(a) 7.534, 7.543, 7.040, 7.540
Solution:
7.040 < 7.534 < 7.540 < 7.543
7.040, 7.534, 7.540, 7.543
(b) 41.339, 41.133, 41.031, 41.431
Solution:
41.031 < 41.133 < 41.339 < 41.431
41.031, 41.133, 41.339, 41.431
(c) 246.036, 246.370, 246.037, 246.730
Solution:
246.036 < 246.037< 46.370 < 246.730
246.036, 246.037, 246.370, 246.730
Question 12.
Arrange in descending order.
(a) 11.567, 11.576, 10.738, 11.076
Solution:
11.576 > 11.567 > 11.076 > 10.738
11.576, 11.567, 11.076, 10.738
(b) 3.12, 3.012, 3.128, 3.102
Solution:
3.128 > 3.120 > 3.102 > 3.012
3.128, 3.120, 3.102, 3.012
(c) 103.061, 103.761, 102.780, 103.167
Solution:
103.761 > 103.167 > 103.061 > 102.780
103.761, 103.167, 103.061, 102.780
(d) 114.980, 114.890, 114.089, 114.990
Solution:
114.990 > 114.980 > 114.890 > 114.089
114.990, 114.980, 114.890, 114.089
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Question 13.
Convert into like decimals
(a) 0.37, 0.272, 3.1
Solution:
0.370, 0.272, 3.100
(b) 2.3, 17.347, 19.1
Solution:
2.300, 17.347, 19.100
(c) 7.09, 9.3, 19.313
Solution:
7.090, 9.300, 19.313