Decimals Class 3 Worksheet Maths

Q1: Compare the numbers. Add: > or < or =

(i) 7.1 ____ 95.1
Ans: 7.1 < 95.1

(ii) 0.6 ____ 7.07
Ans: 0.6 < 7.07

(iii) 92.8 ____ 79.7
Ans: 92.8 > 79.7

(iv) 5.55 ____ 0.7
Ans: 5.55 > 0.7

(v) 25.6 ____ 7.5
Ans: 25.6 > 7.5

(vi) 9.02 ____ 0.3
Ans: 9.02 > 0.3

(vii) 0.2 ____ 0.6
Ans: 0.2 < 0.6

(viii) 8.5 ____ 2.08
Ans: 8.5 > 2.08

(ix) 8.52 ____ 1.54
Ans: 8.52 > 1.54

(x) 0.8 ____ 0.04
Ans: 0.8 > 0.04

Q2: Solve the following questions

1. Add
   • 8416 + 0.28 + 1.489
     
   • 74.906 + 0 .01 + 42
     
   • 13.6 + 42.18
     
2. Subtract
   • 16.001 - 12.984
     
   • 0.001 from 0.01
     
   • 346.8912 – 29.98764
     
3. Divide
   • 2807 by 1.4
     2807/1.4 = 28070 / 14
     
     
   • 0.64 by 0.14208
     Sol:
     
   • 2.303 by 329
     Sol:
     
   • 315.6 by 0.789
     
     
4. Multiply
   • 84.78  x 0.612
     Product = 84.78 × 0.612 = 51.88536 
   • 98.47 x 0 .7
     Product = 98.47 × 0.7 = 68.929 
   • 0.8842 x 0.002
     Product = 0.8842 × 0.002 = 0.0017684 

Q3:

Convert the following

decimal into fractions (reduce, if possible)

(a) 0.25
Sol: 0.25 = 25/100 = 1/4

(b) 0.66
Sol: 0.66 = 66/100 = 33/50

(c) 2.4
Sol: 2.4 = 24/10 = 12/5

(d) 42.875 
Sol: 42.875 = 42875/1000 = 1715/40 = 343/8

(e) 27.216
Sol: 27216/1000 =  13608/500 = 6804/250 = 3401/125

(f) 0.141
Sol: 0.141 = 141/1000

Q4:  Convert the following fractions to decimals.

Sol: 

Therefore, 12/16 in decimal form = 0.20
(c) 13/8 
Sol:

Therefore, 13/8 in decimal form = 1.62
(d)19/25
Sol:
Therefore, 19/25 in decimal form = 0.76

Sol: It can be written as (96 + 1)/8 = 97/8
Therefore, 97/8 in decimal form = 12.12

Sol: It can be  written as (36+1) / 4 = 37/4
Therefore, 37/4 in decimal form = 9.25

Q5: Write the following in form of decimal numbers.

(i) 
(ii)  
(iii) 
(iv) Eighteen hundredths + 8 thousandths 
(v) 99 hundredths +  89

Sol: (i) 300 + 110 + 10 + 9 + 67 thousandths
Now, 67 thousandths = 67/1000
So, 300 + 110 + 10 + 9 + 67/1000 = 300 + 0.1 + 10 + 9 + 0.067

Arranged in descending order = 300 + 10 + 9 + 0.1 + 0.067 = 319.167

Therefore, the correct decimal number is 319.167

(ii) 8/100+3/10+5/1000+90+3
Now, simplify fraction form according to the above figure

8/100+3/10+5/1000+90+3=0.08+0.3+0.005+90+3

Arranged in descending order = 90 + 3 + 0.3 + 0.08 + 0.005 = 93.385

Therefore, the correct decimal number is
8/100 + 3/10 + 5/1000 + 90 + 3 = 93.385

(iii) 5/100 + 7 thousandths + 2 + 400 + 4000 
Simplify fraction form according to the above figure 5/100 + 7 thousandths + 2 + 400 + 4000

Now, 7 thousandths =7/1000

So, 5/100 + 7/1000 + 2 + 400 + 4000 = 0.05 + 0.007 + 2 + 400 + 4000

Arranged in descending order = 4000 + 400 + 2 + 0.05 + 0.007 = 4402.057

Therefore, the correct decimal number is  4402.057

(iv) Eighteen hundredths + 8 thousandths 
Eighteen hundredths = (18/100)
8 thousandths = (8/1000)
Therefore, numbers are 18/100 and 8/1000
First, find a common denominator, which in this case is 1000.
180/1000 + 8/1000 = 0.180 + 0.008 = 0.188.

(v) 99 hundredths +  89
99 hundredths = (99/100)
Adding the two numbers, 0.99 + 89 = 89.99

Q6:Word Problems

(a) Find the area of a rectangle whose length is 78.73 units and breadth is 45.2 units.
Sol: The formula to find the area (�A) of a rectangle is given by multiplying its length (�L) and breadth (�B):
A = L x B
Length L = 78.73 units
Breadth B = 45.2 units
we can substitute these values into the formula:
Area = 78.73 units × 45.2 units = 3554.996 square units

Therefore, the area of the rectangle is approximately 3554.9963554.996 square units.

(b) Mr. Fred bought 25.60 meters of fabric to tailor window drapes. He bought a fabric on sale for Rs. 5.29 per meter, how much did Mr. Fred spend?
Sol: To find out how much Mr. Fred spent, we can multiply the length of the fabric by the cost per meter:
Total Cost = Length of fabric × Cost per meter
Length of the fabric = 25.6025.60 m
Cost per m is Rs. 5.295.29
We can substitute these values into the formula:

Total Cost = 25.60 m x  Rs. 5.29/m = 134.624
Therefore, Mr. Fred spent Rs.134.624 on the fabric.

(c) Ron purchased a bag for Rs. 134.60, a book for Rs. 328.23 and a tie for Rs. 80.55. How much is left with him if he had Rs. 600 in all? 
Sol: To find out how much money Ron has left after making the purchases, you subtract the total cost of the items from the initial amount he had.
Ron's initial amount = Rs. 600
Total cost of the items = Rs. 134.60 (bag) + Rs. 328.23 (book) + Rs. 80.55 (tie)

= Rs. ( 134.60 + 328.23 + 80.55 ) = Rs.543.38
Now, subtract the total cost from the initial amount to find out how much money Ron has left:
Money left = Initial amount − Total cost = (600−543.38) = Rs.56.62
Therefore, Ron has Rs. 56.62 left after making the purchases.

(d) There are 80 cookies in a basket. 73 are choco chips cookies and the remaining are basic cookies. What fraction of the cookies are basic? Write your answer in decimal.
Sol: To find the fraction of basic cookies, you can subtract the number of choco chip cookies from the total number of cookies and then express it as a fraction of the total.
Number of basic cookies = Total cookies - Number of choco chip cookies Number of basic cookies=80−73=7= 80−73 = 7
Therefore,
Fraction of basic cookies=Number of basic cookiesTotal number of cookieFraction of basic cookies = 
Fraction of basic cookies = 7/80
In decimal form, this fraction is approximately 0.08750.0875.