OPERATIONS WITH DECIMALS WORKSHEET

1. Add 0.24 and 0.15.

2. Subtract 0.14 from 0.25.

3. Multiply 1.5 and 4.3.

4. Divide 4.2 by 3.

5. Find 17.6 ÷ 0.4.

6. Each part of a multipart question on a test is worth the same number of points. The whole question is worth 37.5 points. Daniel got 1/2 of the parts of a question correct. How many points did Daniel receive ?.

7. The bill for a pizza was $14.50. Charles paid for 3/5 of the bill. How much did he pay ?.

8. The digit in the tenth place of 82.356 is ______

a) 5     b) 8       c) 3       d) 6

9. The smallest decimal number amongst the following is _____

a) 6.3       b) 7.4      c) 9.4      d) 3.5

10. 8.57 _______ 8.75 (put <, > or =)

11. 6 is present in _________ place of 72.65.

12. Write the whole number part and decimal number part of 9.24.

13. Arrange in ascending order. (6.53, 6.35, 3.65, 3.56)

14. Write expanded form of 8.65 in two different ways.

15. Write as fractions or mixed fractions.

i) 0.9    ii) 0.48     iii) 3.17

16. The greatest decimal number amongst the following is___

a) 5.83   b) 8.53   c) 5.38    d) 8.35

17. The decimal number formed by interchanging the digit in the tenths place and tens place of 25.34 is______

a) 52.34   b) 35.24    c) 23.54    d) 53.24

18. Decimal numbers, which have different number of decimal places, are called ___________ decimal

19.  Change the following into like decimals. 4.8 ; 43.659 ; 0.48 ; 0.4 ; 436.82

20. Product of digits in the tens place and thousandths place of 82.534

a) 40     b) 24    c) 32     d) 6

1. Answer :

0.24 and 0.15 are shaded in two different colors. Now the sum of 0.24 and 0.15 is 0.39.

3 tenths and 9 hundredths

2. Answer :

Method 1 :

Therefore, 

0.25 - 0.14 = 0.11

Method 2 :

Therefore,

0.25 - 0.14 = 0.11

Note :

In both the methods, arrange the decimal numbers according to the place values and subtract them.

3. Answer :

To multiply the decimals, first convert both of them into whole numbers.

Then, we have 15 and 43.

Multiplying 15 and 43, we get 645.

In both 1.5 and 4.3, there is 1 digit to the right of the decimal point. So, count 2 digits from the right and put a decimal point.

So, we get 1.5 x 4.3 = 6.45.

4. Answer :

Write the decimal number 4.2 as a fraction with multiples of 10.

Since there is only one digit after the decimal in 4.2, we can write 4.2 as 42/10.

(If there are two digits after the decimal, we have to take 100 as denominator)

Now, we have to divide 42/10 by 3 as given below.

4.2 ÷ 3 = 42/10 ÷ 3

4.2 ÷ 3 = 42/10 x 1/3

4.2 ÷ 3 = 14/10

4.2 ÷ 3 = 1.4

5. Answer :

First, let us write both the decimals 17.6 and 0.4 as 176/10 and 4/10.

Now, we can divide 176/10 by 4/10 as given below.

17.6 ÷ 0.4 = 176/10 ÷ 4/10

17.6 ÷ 0.4 = 176/10 x 10/4

17.6 ÷ 0.4 = 44

6. Answer :

To find the total points received by Daniel, we have to multiply 1/2 and 37.5.

Step 1 :

Convert the fraction 1/2 as the decimal 0.5.

(1/2) x 37.5 = 0.5 x 37.5

Step 2 :

Multiply.

0.5 x 37.5 = 18.75

Hence, Daniel received 18.75 points.

7. Answer :

To find the amount paid by Charles, we have to multiply 3/5 and 14.50.

Step 1 :

Convert the fraction 3/5 as the decimal 0.6

(3/5) x 14.50 = 0.6 x 14.50

Step 2 :

Multiply.

0.6 x 14.50 = 8.7

Hence, Charles paid $8.7.

8. Answer :

The digit in the tenth place of 82.356 is 3.

9. Answer :

3.5 is the smallest number among 6.3, 7.4 and 9.4

10. Answer :

8.57 < 8.75

11. Answer :

6 is present in tenth place of 72.65.

12. Answer :

9 is the whole number part and 0.24 is the decimal number part of 9.24

13. Answer :

Arranging the values from least to greatest is known as ascending order.

3.56, 3.65, 6.35 and 6.53

14. Answer :

8.65 = 8 x 1 + 6 x 1/10 + 5 x 1/100

or 

8 x 1 + 6 x 0.1 + 5 x 0.01

15. Answer :

Write as fractions or mixed fractions.

i) 0.9

Since we have one digit after the decimal, we have to multiply both numerator and denominator by 10.

= 0.9 x (10/10)

= 9/10

ii) 0.48

Since we have two digits after the decimal, we have to multiply both numerator and denominator by 100.

= 0.48 x (100/100)

= 48/100

iii) 3.17

Since we have two digits after the decimal, we have to multiply both numerator and denominator by 100.

= 3.17(100/100)

= 317/100

Since it is improper fraction, we have use long division and convert it as mixed fraction.

= 3  17/100

16. Answer :

The greatest decimal number amongst the following is 8.53

17. Answer :

The decimal number formed by interchanging the digit in the tenths place and tens place of 25.34 is______

Number at the tenth place = 3

Number at the ten's place = 2

By interchanging it, we get 35.24

18. Answer :

Decimal numbers, which have different number of decimal places, are called unlike decimal

19. Answer :

4.8 ; 43.659 ; 0.48 ; 0.4 ; 436.82

By observing the decimals, after the decimal we have three digits. We should have three digits after every decimal.

4.800, 43.659, 0.480, 0.400, 436.820

20. Answer :

Product of digits in the tens place and thousandths place of 82.534

Number at the tens place = 8

Number at the thousands place = 4

Product = 8 x 4

= 32

So, option c is correct.

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