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