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) .

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

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

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

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

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

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)

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.

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

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