Decimal Numbers - Worksheets

 CBSE Worksheet-01

Class - IV Mathematics – Decimal Numbers 


Time Allowed: 30 minutes


  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 can be written as 6.3
    3. 12.36 can be written in fraction as 1236.
    4. Hundredth place of 5.28 is 0.08.
    5. Fraction form of 0.01 is 110.
  3. The place value of 3 in 4.375 is
    1. 31000
    2. 3
    3. 310
    4. 30
  4. Fill the box 0.538 = 510+3100+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
    2. 700+65+110+4100+91000
    3. 760+5+110+4100+91000
    4. 700+60+5+110+4100+91000
  6. 5.7 is equal to
    1. 510
    2. 5710
    3. 57
    4. 57100
  7. 410=____
    1. None of these
    2. 4
    3. 0.4
    4. 40
  8. Match the following:

     (a) nine tenths (i) 61000
     (b) Twenty-five hundredth (ii) 1910
     (c) Six thousandth (iii) 25100
     (d) one and nine tenth (iv) 910 
  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 + 71000
    2. 8000 + 2 + 1100
    3. 200000 + 600 + 5100 + 51000
    4. 10000 + 60 + 2 + 510 + 4100 + 31000
  16. Convert each of the following as decimal.

    1. 65
    2. 925
    3. 57250
    4. 6125

CBSE Worksheet-01
Class - IV Mathematics – Decimal Numbers 


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 + 0.3 = 6.3

    3. False, 12.36 can be written in fraction as 1236100.

    4. True, Hundredth place of 5.28 is 0.08.

    5. True, 0.01 = 110.

  3. (c) 310
    Explanation: Place value of 3 in 4.375 is 310.
    3 is in tenths place so its value is 310.
  4. (d) 1000
    Explanation:

    0.538 = 510+3100+81000

    8 is in thousandths place so 11000.

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

    In 0.4, 4 is in tenths place so 410=0.4.

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

    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
  9. 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

    1. 0.999
      =910+9100+91000
      =9001000+901000+91000
      9991000
    2. 21.23
      = 21 + 0.23
      = 21 + 210+3100
      = 21 + 20100+3100
      21+23100
      2123100
    1. 0.45
      We can write it as 0.451
      then, multiply numerator and denominator by 100
      now, 0.451 × 100100 = 45100
      so, the common fraction is 45100
    2. 13.09
      We can write it as 13.091
      then, multiply numerator and denominator by 100
      now, 13.091 × 100100 = 1309100
      so, the common fraction is 1309100
    3. 6.007
      We can write it as 6.0071
      then, multiply numerator and denominator by 1000
      now, 6.0071 × 10001000 = 60071000
      so, the common fraction is 60071000
    4. 5.1
      We can write it as 5.11
      then, multiply numerator and denominator by 10
      now, 5.11 × 1010 = 5110
      so, the common fraction is 5110
    5. 0.352
      We can write it as 0.3521
      then, multiply numerator and denominator by 1000
      now, 0.3521×10001000 = 3521000
      so, the common fraction is 3521000
    6. 44.4
      We can write it as 44.41
      then, multiply numerator and denominator by 10
      now, 44.41 × 1010 = 44410
      so, the common fraction is 44410
    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
    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
    1. 6000 + 20 + 110 + 71000
      6000 + 20 + 0.1 + 0.007 = 6020.107
    2. 8000 + 2 + 1100
      8000 + 2 + 0.01 = 8002.01
    3. 200000 + 600 + 5100 + 51000
      200000 + 600 + 0.05 + 0.005 = 200600.055
    4. 10000 + 60 + 2 + 510 + 4100 + 31000
      10000 + 60 + 2 + 0.5 + 0.04 + 0.003 = 10062.543
    1. 65
      6×25×2=1210 = 1.2
    2. 925
      9×425×4=36100=0.36
    3. 57250
      57×4250×4=2281000=0.228
    4. 6125