The DAV Class 5 Maths Book Solutions Pdf and **DAV Class 5 Maths Chapter 5 Worksheet 1** Solutions of Decimals offer comprehensive answers to textbook questions.

## DAV Class 5 Maths Ch 5 Worksheet 1 Solutions

Question 1.

Write as decimals.

(a) \(\frac{3}{10}\)

Solution:

\(\frac{3}{10}\) = .3 or 0.3

(b) \(\frac{5}{10}\)

Solution:

\(\frac{5}{10}\) = .5 or 0.5

(c) \(\frac{9}{10}\)

Solution:

\(\frac{9}{10}\) = .9 or 0.9

(d) \(\frac{8}{10}\)

Solution:

\(\frac{8}{10}\) = .8 or 0.8

(e) \(\frac{7}{10}\)

Solution:

\(\frac{7}{10}\) = .7 or 0.7

(f) \(\frac{1}{10}\)

Solution:

\(\frac{1}{10}\) = .1 or 0.1

(g) \(\frac{6}{10}\)

Solution:

\(\frac{6}{10}\) = .6 or 0.6

(h) \(\frac{4}{10}\)

Solution:

\(\frac{4}{10}\) = .4 or 0.4

Question 2.

Write as fractions.

(a) 0.2

Solution:

0.2 = \(\frac{2}{10}\)

(b) 0.4

Solution:

0.4 = \(\frac{4}{10}\)

(c) 0.7

Solution:

0.7 = \(\frac{7}{10}\)

(d) 0.6

Solution:

0.6 = \(\frac{6}{10}\)

(e) 0.5

Solution:

0.5 = \(\frac{5}{10}\)

(f) 0.9

Solution:

0.9 = \(\frac{9}{10}\)

(g) 0.8

Solution:

0.8 = \(\frac{8}{10}\)

(h) 0.3

Solution:

0.3 = \(\frac{3}{10}\)

Question 3.

Read and write the number names. The first one is done for you.

(a) 7.5 ____________

Solution:

Seven and five tenths

(b) 9.4 ____________

Solution:

Nine and four tenths.

(c) 18.2 ____________

Solution:

Eighteen and two tenths.

(d) 65.8 ____________

Solution:

Sixty five and eight tenths.

(e) 225.7 ____________

Solution:

Two hundred twenty five and seven tenths.

(f) 315.8 ____________

Solution:

Three hundred fifteen and eight tenths.

(g) 1238.7 ____________

Solution:

One thousand two hundred thirty eight and seven tenths.

(h) 2987.3 ____________

Solution:

Two thousand nine hundred eighty seven and three tenths.

(i) 1087.3 ____________

Solution:

One thousand eighty seven and three tenths.

Question 4.

Write in decimal form. The first one is done for you.

(a) Eight tenths.

Solution:

0.8

(b) Five tenths.

Solution:

0.5

(c) Six and two tenths.

Solution:

6.2

(d) Fifty three and seven tenths.

Solution:

53.7

(e) Eighty two and three tenths.

Solution:

82.3

(f) One hundred thirty five and five tenths.

Solution:

135.5

(g) Five hundred eighty five and three tenths.

Solution:

585.3

(h) Two hundred twenty seven and seven tenths.

Solution:

227.7

Question 5.

Fill in the blanks.

Solution:

**DAV Class 5 Maths Chapter 5 Worksheet 1 Notes**

Hindu Arabic System of Numeration: The system of numeration that we have studied is known as the Hindu Arabic System of Numeration.

International System of Numeration: A slight variation in number names is called the International System of Numeration.

Decimal System of Numeration: The system of numeration is known as the Decimal System of Numeration. The reason is that we use ten symbols – 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 (digits) to write any number, howsoever large it may be.

Arrange number 8 in the place value chart:

If we multiply 8 by 10, we get 80:

If we divide 80 by 10, we get 8:

So we observe when we multiply the number by 10 it jumps one column to the left. When we divide 8 tens by 10, 8 jumps one column to the right. Divide 8 again by 10. 8 will jump one more column to the right. We add one more column called tenths in the place value chart. Since \(\frac{8}{10}\) is a fraction with a value less than 1, we separate by a point called the decimal point.

8 ÷ 10 = \(\frac{8}{10}\) = .8 or 0.8

We read it as point 8 or decimal eight or zero decimal eight.

Remember: Decimal takes less space in writing. It is easier to compare two fractional numbers using decimals.

Example 1.

\(\frac{5}{10}\)

Solution:

Number name – Five tenths

Fraction = \(\frac{5}{10}\)

Decimal = 0.5

Example 2.

25\(\frac{4}{10}\)

Solution:

Number name – Twenty five and four tenths

Fraction – 25\(\frac{4}{10}\)

Decimal – 25.4