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Published on: 16/09/2019
Decimals
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Questions + Answers key
Take MCQ Mathematics Test

1.
Write as fractions in lowest terms. 0.25
2.
Write as fractions in lowest terms. 0.18
3.
Write each of the following as decimals. \(20+9+\frac { 4 }{ 10 } +\frac { 1 }{ 100 } \)
4.
Write as fraction in lowest form. 2.25
5.
Write each of the following as decimals. Seventeen point six
6.
Write each of the following as decimals. Three-tenths
7.
Express the following as cm using decimals. 2 mm
8.
Write the following decimals as fractions. Reduce the fractions to lowest form. 6.4
9.
Write the following decimals as fractions. Reduce the fractions to lowest form. 1.0
10.
Write the following decimals as fractions. Reduce the fractions to lowest form. 2.5
11.
Write each of the following as decimals. \(4\frac { 1 }{ 2 } \)
12.
Write each of the following as decimals. \(\frac { 12 }{ 5 } \)
13.
Write each of the following as decimals. \(\frac { 2 }{ 5 } \)
14.
Write each of the following as decimals. One hundred and two ones
15.
Write each of the following as decimals. Fourteen point six
1.
We have, \(0.25=\frac { 25 }{ 100 } =\frac { 25\div 25 }{ 100\div 25 } =\frac { 1 }{ 4 } \)
\(\left[ \because HCF\quad of\quad 25\quad and\quad 100=25 \right] \)
2.
We have, \(0.18=\frac { 18 }{ 100 } =\frac { 18\div 2 }{ 100\div 2 } =\frac { 9 }{ 50 } \)
\(\left[ \because \quad HCF\quad of\quad 18\quad and\quad 100\quad =2 \right] \)
3.
We have, \(20+9+\frac { 4 }{ 10 } +\frac { 1 }{ 100 } =29+4\times \frac { 1 }{ 10 } +1\times \frac { 1 }{ 100 } \)
= 29 + 0.4 + 0.01 = 29.41
4.
We have, 2.25=2 ones + 2 tenths + 5 hundredths = 2 + 2 \(\times\) \(\frac { 1 }{ 10 } +\frac { 5 }{ 100 } =2+0.25\)
\(=2+\frac { 2 }{ 10 } +\frac { 5 }{ 100 } =2+\frac { 20+5 }{ 100 } =2+\frac { 25 }{ 100 } =2+\frac { 1 }{ 4 } =2\frac { 1 }{ 4 } =\frac { 9 }{ 4 } .\)
5.
17.6
6.
0.3
7.
We know that, 10 mm = 1 cm \(\Rightarrow\) 1 mm = 1/10 cm
\(\therefore \quad 2\quad mm=2\times \frac { 1 }{ 10 } cm=\frac { 2 }{ 10 } cm=0.2\quad cm\)
8.
Fraction of 6.4=\(\frac { 64 }{ 10 } \) and lowest form =\(\frac { 32 }{ 5 } \)
9.
We have, \(1.0=1+\frac { 0 }{ 10 } =1+0=1\)
\(\therefore \) Fraction of 1.0 as well as lowest form = 1
10.
We have, 2.5=2+\(\frac { 5 }{ 10 } =\frac { 2\times 10 }{ 1\times 10 } +\frac { 5 }{ 10 } \)
[multiplying by 10 in numerator and denominator of 2]
\(=\frac { 20 }{ 10 } +\frac { 5 }{ 10 } =\frac { 20+5 }{ 10 } =\frac { 25 }{ 10 } \)
Lowest form \(=\frac { 25\div 5 }{ 10\div 5 } =\frac { 5 }{ 2 } \) [\(\because\) HCF of 25 and 10 = 5]
\(\therefore\) Fraction of 2.5\(=\frac { 25 }{ 10 } \) and lowest form = \(\frac { 5 }{ 2 } \)
11.
\(4\frac { 1 }{ 2 } =4+\frac { 1 }{ 2 } =4.5\)
12.
\(\cfrac { 12 }{ 5 } =\cfrac { 12\times 2 }{ 5\times 2 } =\cfrac { 24 }{ 10 } =\cfrac { 20+4 }{ 10 } \)
=\(\cfrac { 20 }{ 10 } +\cfrac { 4 }{ 10 } =2+\cfrac { 4 }{ 10 } =2.4\)
13.
We have, \(\frac { 2 }{ 5 } \)
To make this fraction in tenths, we have to multiply by 2 in its numerator and denominator both.
\(\therefore \quad \frac { 2 }{ 5 } =\frac { 2\times 2 }{ 5\times 2 } =\frac { 4 }{ 10 } \)
Here, it has 4 tenths.
i.e. \(\frac { 4 }{ 10 } =0.4\)
14.
One hundred and two ones = 1 \(\times\)100 + 0 \(\times\) 10 + 2 \(\times\) 1
= 100 + 0 + 2 = 102
15.
Fourteen point six = 14.6
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