**Operations with decimals worksheet :**

Worksheet on operations with decimals is much useful to the students who would like to practice problems on decimals.

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 ?

**Problem 1 : **

Add 0.24 and 0.15

**Solution :**

Observe the figure given below.

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

That is,

3 tenths and 9 hundredths

**Problem 2 :**

Subtract 0.14 from 0.25

**Solution :**

**Method 1 :**

Therefore,

0.25 - 0.14 = 0.11

**Method 2 :**

**Not asaaaaaaaaaaaaaaaaa0 . 2 5 aaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaa- 0 . 1 4 aaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaa-----------aaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaa0 . 1 1 aaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaa-----------**

Therefore,

0.25 - 0.14 = 0.11

**Note :**

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

**Problem 3 : **

Multiply 1.5 and 4.3

**Solution : **

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.

Both, in 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

**Problem 4 :**

Divide 4.2 by 3

**Solution : **

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

**Problem 5 :**

Find 17.6 ÷ 0.4

**Solution : **

**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

**Problem 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 ?

**Solution : **

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.

**Problem 7 : **

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

**Solution : **

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

After having gone through the stuff given above, we hope that the students would have understood "Operations with decimals worksheet".

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