We have already learned how fractions can be expressed as decimal fractions and now we will practice the questions given in the worksheet on concept of decimal.
I. Express the decimals in words:
(i) 0.6
(ii) 2.05
(iii) 14.308
(iv) 29.007
(v) 14.25
(vi) 18.280
(vii) 48.305
(viii) 95.902
II. Express in numerals:
(i) Three point three eight
(ii) Zero point nine eight
(iii) twenty three point one eight six
(iv) One hundred three point zero seven one
(v) Three hundred nine point four zero nine
III. Express as decimals:
(i) \(\frac{6}{10}\)
(ii) \(\frac{9}{100}\)
(iii) \(\frac{79}{100}\)
(iv) \(\frac{48}{1000}\)
(v) 2\(\frac{2}{100}\)
(vi) 3\(\frac{345}{1000}\)
(vii) \(\frac{11}{100}\)
(viii) 3\(\frac{125}{1000}\)
(ix) 3\(\frac{11}{1000}\)
(x) 2\(\frac{279}{1000}\)
IV. Express as fractions:
(i) 9.8
(ii) 23.58
(iii) 50.09
(iv) 1.004
(v) 15.325
(vi) 5.05
(vii) 5.005
(viii) 2.105
(ix) 0.09
(x) 23.567
(xi) 29.03
(xii) 195.403
(xiii) 93.561
(xiv) 17.37
(xv) 24.361
V. Write the decimal numerals:
(i) 8 + \(\frac{9}{10}\) + \(\frac{5}{100}\)
(ii) 5 + \(\frac{7}{100}\) + \(\frac{9}{1000}\)
(iii) \(\frac{5}{10}\) + \(\frac{5}{1000}\)
(iv) 40 + 7 + \(\frac{2}{10}\) + \(\frac{3}{100}\) + \(\frac{8}{1000}\)
(v) 20 + 9 + \(\frac{2}{100}\) + \(\frac{3}{1000}\)
(vi) 200 + 60 + 4 + \(\frac{1}{10}\) + \(\frac{6}{100}\) + \(\frac{3}{1000}\)
VI. Express in
expended form:
(i) 0.35
(ii) 1.358
(iii) 87.496
(iv) 825.249
(v) 59.56
(vi) 307.509
(vii) 327.483
(viii) 1000.89
(ix) 0.937
VII. Express in short form:
(i) 40 + 5 + 0.2 + 0.05
(ii) 100 + 50 + 6 + 0.6 + 0.08 + 0.002
(iii) 200 + 30 + 5 + 0.3 + 0.05 + 0.001
(iv) 500 + 80 + 9 + 0.7 + 0.009
(v) 800 + 40 + 6 + 0.9 + 0.002
VIII. Convert into decimals:
(i) \(\frac{21}{25}\)
(ii) \(\frac{29}{200}\)
(iii) \(\frac{47}{50}\)
(iv) \(\frac{56}{250}\)
(v) 4\(\frac{1}{2}\)
(vi) 11\(\frac{29}{200}\)
(vii) 121\(\frac{4}{25}\)
(viii) 21\(\frac{3}{20}\)
IX. Express as decimals:
(i) 9 tenths + 2 hundredths
(ii) 4 tenths + 1 hundredth + 2 thousandths
(iii) 8 hundredths + 5 thousandths
(iv) 6 tenths + 7 thousandths
(v) 2 tenths + 9 thousandths
X. Arrange in ascending order:
(i) 1.23, 1.32, 1.03, 1.2, 1.02
(ii) 6.34, 6.43, 6.13, 6.40, 6.48
(iii) 3.96, 3.09, 3.609, 3.906
(iv) 24.316, 24.613, 23.136, 32.621
(v) 20.04, 20.841, 20.149, 20.914
(vi) 50.310, 53.031, 35.031, 53.103
(vii) 25.02, 25.52, 25.054, 25.405
(viii) 236.18, 263.81, 236.81, 326.18
(ix) 112.68, 102.99, 121.87, 124.32
(x) 517.22, 571.21, 712.51, 515.112
XI. Arrange in descending order:
(i) 2.35, 2.065, 2.335, 2.535
(ii) 64.103, 46.301, 36.136, 63.113
(iii) 4.764, 4.076, 4.685, 4.599
(iv) 52.773, 52.731, 57.137, 74.773
(v) 25.71, 25.17, 25.07, 25, 38
(vi) 91.241, 91.242, 91.224, 91.124
(vii) 64.53, 64.03, 64.76, 64.90
(viii) 328.19, 328.199, 328.099, 328.909
(ix) 40.36, 40.16, 40.96, 40.236
(x) 521.30, 521.32, 521.23, 521.03, 521.35
Answers for the worksheet on concept of decimal are given below.
Answers:
I. (i) zero point six
(ii) two point zero five
(iii) fourteen point three zero eight
(iv) twenty-nine point zero zero seven
(v) fourteen point two five
(vi) eighteen point two eight zero
(vii) forty-eight point three zero five
(viii) ninety-five point nine zero two
II. (i) 3.38
(ii) 0.98
(iii) 23.186
(iv) 103.071
(v) 309.409
III. (i) 0.6
(ii) 0.09
(iii) 0.79
(iv) 0.048
(v) 2.02
(vi) 3.345
(vii) 0.11
(viii) 3.125
(ix) 3.011
(x) 2.279
IV. (i) 9\(\frac{4}{5}\)
(ii) 23\(\frac{29}{50}\)
(iii) 50\(\frac{9}{100}\)
(iv) 1\(\frac{1}{250}\)
(v) 15\(\frac{13}{40}\)
(vi) 5\(\frac{1}{20}\)
(vii) 5\(\frac{1}{200}\)
(viii) 2\(\frac{21}{200}\)
(ix) \(\frac{9}{100}\)
(x) 23\(\frac{567}{1000}\)
(xi) 29\(\frac{3}{100}\)
(xii) 195\(\frac{403}{1000}\)
(xiii) 93\(\frac{561}{1000}\)
(xiv) 17\(\frac{37}{100}\)
(xv) 24\(\frac{361}{1000}\)
V. (i) 8.95
(ii) 5.079
(iii) 0.505
(iv) 47.238
(v) 29.203
(vi) 264.163
VI. (i) 0.3 + 0.05
(ii) 1 + 0.3 + 0.05 + 0.008
(iii) 80 + 7 + 0.4 + 0.09 + 0.006
(iv) 800 + 20 + 5 + 0.2 + 0.04 + 0.009
(v) 50 + 9 + 0.5 + 0.06
(vi) 300 + 7 + 0.5 + 0.008
(vii) 300 + 20 + 7 + 0.4 + 0.08 + 0.003
(viii) 1000 + 0.8 + 0.09
(ix) 0.9 + 0.03 + 0.007
VII. (i) 45.25
(ii) 156.682
(iii) 235.351
(iv) 589.709
(v) 846.902
VIII. (i) 0.84
(ii) 0.145
(iii) 0.94
(iv) 0.224
(v) 4.5
(vi) 11.145
(vii) 121.16
(viii) 21.15
IX. (i) 0.92
(ii) 0.412
(iii) 0.085
(iv) 0.607
(v) 0.209
X. (i) 1.02, 1.03, 1.2, 1.23, 1.32
(ii) 6.13, 6.34, 6.40, 6.43, 6.48
(iii) 3.09, 3.609, 3.906, 3.96
(iv) 23.136, 24.316, 24.613, 32.621
(v) 20.04, 20.149, 20.841, 20.914
(vi) 35.031, 50.310, 53.031, 53.103
(vii) 25.02, 25.054, 25.405, 25.52
(viii) 236.18, 236.81, 263.81, 326.18
(ix) 102.99, 112.68, 121.87, 124.32
(x) 515.112, 517.22, 571.21, 712.51
XI. (i) 2.535, 2.335, 2.35, 2.065
(ii) 64.103, 63.113, 46.301, 36.136
(iii) 4.764, 4.685, 4.599, 4.076
(iv) 74.773, 57.137, 52.773, 52.731
(v) 38, 25.71, 25.17, 25.07, 25
(vi) 91.242, 91.241, 91.224, 91.124
(vii) 64.90, 64.76, 64.53, 64.03
(viii) 328.909, 328.199, 328.19, 328.099
(ix) 40.96, 40.36, 40.236, 40.16
(x) 521.35, 521.32, 521.30, 521.23, 521.03
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