Decimal Numbers - Worksheets

 CBSE Worksheet-01

Class - IV Mathematics – Decimal Numbers 

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Time Allowed: 30 minutes

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1. Fill in the blanks with suitable words:
   1. In 0.87 , 8 stands for  ___________
   2. A __________ is a fraction whose denominator is 10 or power of ten.
   3. Place value of 7 in 12.075 is ___________
   4. The decimal number 2.5 is read as __________
   5. The decimal numeral for Nine thousandths is ________
2. State whether each of the following statement is True or False:
   1. Eight and sixty-seven hundredth can be written as 8.067
   2. 6310$6\frac{3}{10}$ can be written as 6.3
   3. 12.36 can be written in fraction as 1236$12\frac{3}{6}$.
   4. Hundredth place of 5.28 is 0.08.
   5. Fraction form of 0.01 is 110$\frac{1}{10}$.
3. The place value of 3 in 4.375 is
   1. 31000$\frac{3}{1000}$
   2. 3
   3. 310$\frac{3}{10}$
   4. 30
4. Fill the box 0.538 = 510+3100+8?$\frac{5}{10}+\frac{3}{100}+\frac{8}{?}$
   1. 10000
   2. 100
   3. 10
   4. 1000
5. Write the number in expanded form: 765.149
   1. 700+60+5+1100+41000+91000$700+60+5+\frac{1}{100}+\frac{4}{1000}+\frac{9}{1000}$
   2. 700+65+110+4100+91000$700+65+\frac{1}{10}+\frac{4}{100}+\frac{9}{1000}$
   3. 760+5+110+4100+91000$760+5+\frac{1}{10}+\frac{4}{100}+\frac{9}{1000}$
   4. 700+60+5+110+4100+91000$700+60+5+\frac{1}{10}+\frac{4}{100}+\frac{9}{1000}$
6. 5.7 is equal to
   1. 510$\frac{5}{10}$
   2. 5710$\frac{57}{10}$
   3. 57$\frac{5}{7}$
   4. 57100$\frac{57}{100}$
7. 410=____$\frac{4}{10}=\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}$
   1. None of these
   2. 4
   3. 0.4
   4. 40

8. Match the following:

   (a) nine tenths	(i) 61000$\frac{6}{1000}$
   (b) Twenty-five hundredth	(ii) 1910$1\frac{9}{10}$
   (c) Six thousandth	(iii) 25100$\frac{25}{100}$
   (d) one and nine tenth	(iv) 910$\frac{9}{10}$

9. Subtract:

   1. 5.158 from 7.9
   2. 0.00084 kg from 0.05 kg

10. In a dance competition, Ritu got 8.5 points from 1st judge, 7.75 points from 2nd judge, and 9.03 points from 3rd judge. How many points did Ritu get? If Sakshi gets 1.75 points more than Ritu then how many points did Sakshi get?

11. Convert the following decimal to fractions.

    1. 0.999
    2. 21.23

12. Write as common fractions:
    0.45, 13.09, 6.007, 5.1, 0.352, 44.4

13. Arrange the following decimal numbers in descending order.

    1. ​​​​​2.23, 2.43, 2.33, 2.53
    2. 4.45, 5.44, 8.40, 7.40
    3. 1.29, 2.29, 1.39, 2.39 

14. Subtract:

    1. 0.91 from 0.85
    2. 63.55 from 96.69
    3. 123.236 from 936.639
    4. 0.006 from 0.0099

15. Write the following as decimals:

    1. 6000 + 20 + 110$\frac{1}{10}$ + 71000$\frac{7}{1000}$
    2. 8000 + 2 + 1100$\frac{1}{100}$
    3. 200000 + 600 + 5100$\frac{5}{100}$ + 51000$\frac{5}{1000}$
    4. 10000 + 60 + 2 + 510$\frac{5}{10}$ + 4100$\frac{4}{100}$ + 31000$\frac{3}{1000}$

16. Convert each of the following as decimal.

    1. 65$\frac{6}{5}$
    2. 925$\frac{9}{25}$
    3. 57250$\frac{57}{250}$
    4. 6125$\frac{61}{25}$

CBSE Worksheet-01
Class - IV Mathematics – Decimal Numbers 

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Solution

1. Fill in the blanks with suitable words:

   1. 8 tenths

   2. Decimal.

   3. 7/100

      10+2+(0/10)+(7/100)+(5/1000) is the expanded form

   4. Two point five

   5. 0.009

2. State whether each of the following statement is True or False:

   1. False, Eight and sixty-seven hundredth can be written as 8.67

   2. True, 6310$6\frac{3}{10}$ = 6 + 0.3 = 6.3

   3. False, 12.36 can be written in fraction as 1236100$12\frac{36}{100}$.

   4. True, Hundredth place of 5.28 is 0.08.

   5. True, 0.01 = 110$\frac{1}{10}$.

3. (c) 310$\frac{3}{10}$
   Explanation: Place value of 3 in 4.375 is 310$\frac{3}{10}$.
   3 is in tenths place so its value is 310$\frac{3}{10}$.
4. (d) 1000
   Explanation:

   0.538 = 510+3100+81000$\frac{5}{10}+\frac{3}{100}+\frac{8}{1000}$

   8 is in thousandths place so 11000$\frac{1}{1000}$.

5. (d) 700+60+5+110+4100+91000$700+60+5+\frac{1}{10}+\frac{4}{100}+\frac{9}{1000}$
   Explanation:
   Place value of 7 = 7 × 100 = 700
   Place value of 6 = 6 × 10 = 60
   Place value of 1 = 1 × 1 = 1
   Place value of 4 = 4 × 1100$\frac{1}{100}$  = 4100$\frac{4}{100}$
   Place value of 9 = 9 × 11000$\frac{1}{1000}$  = 91000$\frac{9}{1000}$
   So , 765.149 = 700+60+5+110+4100+91000$700+60+5+\frac{1}{10}+\frac{4}{100}+\frac{9}{1000}$
6. (b) 5710$\frac{57}{10}$
   Explanation: 5710$\frac{57}{10}$
   57 ÷$÷$ 10 = 5.7
   57 ÷$÷$ 100 = 0.57
   5 ÷$÷$ 7 = 0.71
   So, the correct answer is 5710$\frac{57}{10}$
7. (c) 0.4
   Explanation: 410=0.4$\frac{4}{10}=0.4$

   In 0.4, 4 is in tenths place so 410=0.4$\frac{4}{10}=0.4$.

8. (a) – (iv), (b) – (iii), (c) – (i), (d) – (ii)

9. 1. 5.158 from 7.9
      7.9 - 5.158 = 2.742
   2. 0.00084 kg from 0.05 kg
      0.05 - 0.00084 = 0.04916

10. Total point Ritu got in competition = 8.50 + 7.75 + 9.03 = 25.28 points
    then, point Sakshi got = 25.28 + 1.75 = 27.03 points

11. 1. 0.999
       =910+9100+91000$=\frac{9}{10}+\frac{9}{100}+\frac{9}{1000}$
       =9001000+901000+91000$=\frac{900}{1000}+\frac{90}{1000}+\frac{9}{1000}$
       = 9991000$\frac{999}{1000}$
    2. 21.23
       = 21 + 0.23
       = 21 + 210+3100$\frac{2}{10}+\frac{3}{100}$
       = 21 + 20100+3100$\frac{20}{100}+\frac{3}{100}$
       = 21+23100$21+\frac{23}{100}$
       = 2123100$21\frac{23}{100}$
12. 1. 0.45
       We can write it as 0.451$\frac{0.45}{1}$
       then, multiply numerator and denominator by 100
       now, 0.451$\frac{0.45}{1}$ ×$\times$ 100100$\frac{100}{100}$ = 45100$\frac{45}{100}$
       so, the common fraction is 45100$\frac{45}{100}$
    2. 13.09
       We can write it as 13.091$\frac{13.09}{1}$
       then, multiply numerator and denominator by 100
       now, 13.091$\frac{13.09}{1}$ ×$\times$ 100100$\frac{100}{100}$ = 1309100$\frac{1309}{100}$
       so, the common fraction is 1309100$\frac{1309}{100}$
    3. 6.007
       We can write it as 6.0071$\frac{6.007}{1}$
       then, multiply numerator and denominator by 1000
       now, 6.0071$\frac{6.007}{1}$ ×$\times$ 10001000$\frac{1000}{1000}$ = 60071000$\frac{6007}{1000}$
       so, the common fraction is 60071000$\frac{6007}{1000}$
    4. 5.1
       We can write it as 5.11$\frac{5.1}{1}$
       then, multiply numerator and denominator by 10
       now, 5.11$\frac{5.1}{1}$ ×$\times$ 1010$\frac{10}{10}$ = 5110$\frac{51}{10}$
       so, the common fraction is 5110$\frac{51}{10}$
    5. 0.352
       We can write it as 0.3521$\frac{0.352}{1}$
       then, multiply numerator and denominator by 1000
       now, 0.3521$\frac{0.352}{1}$×$\times$10001000$\frac{1000}{1000}$ = 3521000$\frac{352}{1000}$
       so, the common fraction is 3521000$\frac{352}{1000}$
    6. 44.4
       We can write it as 44.41$\frac{44.4}{1}$
       then, multiply numerator and denominator by 10
       now, 44.41$\frac{44.4}{1}$ ×$\times$ 1010$\frac{10}{10}$ = 44410$\frac{444}{10}$
       so, the common fraction is 44410$\frac{444}{10}$
13. 1. ​​​​​2.23, 2.43, 2.33, 2.53
       Here, the one's place is 2 for all decimal numbers
       0.53 > 0.43 > 0.33 > 0.23
       2.53 > 2.43 > 2.33 > 2.23
    2. 4.45, 5.44, 8.40, 7.40
       Here, one's place is different for all decimal numbers
       8 > 7 > 5 > 4
       8.40 > 7.40 > 5.44 > 4.45
    3. 1.29, 2.29, 1.39, 2.39
       Here,
       As hundredths place is same for all numbers:
       2>1 and  39 > 29
       2.39 > 2.29 > 1.39 > 1.29
14. 1. 0.85 from 0.91 = 0.06
       
    2. 63.55 from 96.69 = 33.14
       
    3. 123.236 from 936.639 = 813.403
       
    4. 0.006 from 0.0099 = 0.0039
       
15. 1. 6000 + 20 + 110$\frac{1}{10}$ + 71000$\frac{7}{1000}$
       6000 + 20 + 0.1 + 0.007 = 6020.107
    2. 8000 + 2 + 1100$\frac{1}{100}$
       8000 + 2 + 0.01 = 8002.01
    3. 200000 + 600 + 5100$\frac{5}{100}$ + 51000$\frac{5}{1000}$
       200000 + 600 + 0.05 + 0.005 = 200600.055
    4. 10000 + 60 + 2 + 510$\frac{5}{10}$ + 4100$\frac{4}{100}$ + 31000$\frac{3}{1000}$
       10000 + 60 + 2 + 0.5 + 0.04 + 0.003 = 10062.543
16. 1. 65$\frac{6}{5}$
       = 6×25×2=1210$\frac{6\times 2}{5\times 2}=\frac{12}{10}$ = 1.2
    2. 925$\frac{9}{25}$
       = 9×425×4=36100=0.36$\frac{9\times 4}{25\times 4}=\frac{36}{100}=0.36$
    3. 57250$\frac{57}{250}$
       = 57×4250×4=2281000=0.228$\frac{57\times 4}{250\times 4}=\frac{228}{1000}=0.228$
    4. 6125$\frac{61}{25}$
       = 61×425×4=244100=2.44