Worksheet on Concept of Decimal

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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