2 Marks Questions

Question 512 Marks

Raju bought a book for $Rs. 35.65.$ He gave $Rs. 50$ to the shopkeeper. How much money did he get back from the shopkeeper?

Answer

Price of the book $= Rs. 35.65$
Amount given to the shopkeeper $= Rs. 50$
Therefore, balance returned by the shopkeeper $= Rs. (50 - 35.65)$
$= Rs. 14.35$

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Question 522 Marks

Express the following fractions as decimals:
$39\frac{7}{35}$

Answer

$39\frac{7}{35}=39+\frac{7}{35}$
$=39+\frac{1}{5}$
$=39+\frac{1\times2}{5\times2}$
$=39+\frac{2}{10}$
$=39.2$

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Question 532 Marks

Waheeda's school is at a distance of $5\ km\ 350\ m$ from her house. She travels $1\ km\ 70\ m$ on foot and the rest she travels by bus. How much distance does she travel by bus?

Answer

Distance travelled on foot $= 1\ km\ 70\ m$
Suppose the distance travelled by bus $= x \ km$
Total distance of school from residence $= 5\ km \ 350\ m = 5.350\ km$
So, $1.070 + x = 5.350$
$= x = 5.350 - 1.070$
$= x = 4.280\ km$
Therefore, distance travelled by bus is $4.280\ km$

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Question 542 Marks

Write the following decimals as fractions. Reduce the fractions to lowest form: $2.34$

Answer

$=2+0.34$
$=2+34\ \text{hundredths}$
$=2+\frac{34}{100}$
$=\frac{2\times100}{100}+\frac{34}{100}$
$=\frac{200}{100}+\frac{34}{100}$
$=\frac{234}{100}$
$=\frac{117}{50}$

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Question 552 Marks

Convert the following sets of unlike decimals to like decimal:
$7.8, 7.85$

Answer

Of the two given decimals, $7.85$ has more decimal places, i.e., two, so we change $7.8$ so that it has two decimal places.
Therefore, the like decimals are $7.80$ and $7.85.$

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Question 562 Marks

Express the following fractions as decimals:
$12\frac{1}{2}$

Answer

$12\frac{1}{2}=12+\frac{1}{2}$
$=12+\frac{1\times5}{2\times5}$
$=12+\frac{5}{10}=12.5$

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Question 572 Marks

Express the following fractions as decimals: $\frac{111}{250}$

Answer

$\frac{111}{250}=\frac{111\times4}{250\times4}$ $=\frac{444}{1000}$ $=0.444$

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Question 582 Marks

Write of the following as decimals: $\frac{888}{1000}$

Answer

$\frac{888}{1000}=\frac{888}{1000}+\frac{8}{1000}$
$=\frac{8}{10}+\frac{8}{100}+\frac{8}{1000}$
We have $8$ tenths, $8$ hundredths and $8$ thousandths.
Therefore, the decimal is $0.888$

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Question 592 Marks

Express the following without using decimals: $8.354\ kg$

Answer

We know that $1000\ g = 1\ kg.$
So, $1\text{g}=\frac{1}{1000}\text{kg}$
Therefore, $8.354 = 8 + 0.354$
$=8+\frac{354}{1000}$
$=8\text{kg}\ \text{354}\text{g}$

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Question 602 Marks

Write the following decimals as fractions. Reduce the fractions to lowest form: $0.342$

Answer

$=0+342\ \text{thousandths}$ $=\frac{342}{1000}$ $=\frac{171}{500}$

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Question 612 Marks

Express the following without using decimals: $7.54m$

Answer

We know that $1\ kg = 1000g$
Therefore, $15.005 = 15 + 0.005$
$=15+\frac{5}{1000}$
$=15\text{kg},5\text{g}$

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Question 622 Marks

Write the following as decimals: $25\frac{1}{2}$

Answer

$25\frac{1}{2}=25+\frac{1}{2}$ To write in decimal,
we need to make the denominator $10$ by multiplying it by a number.
But, to maintain the value of the fraction,
we should also multiply the numerator by the same number.
Thus we get, $=25+\frac{1\times5}{2\times5}$
$=25+\frac{5}{10}$
$=25.5$

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Question 632 Marks

Express as kilogram (kg) using decimals: $8g$

Answer

We know that $1000g = 1\ kg$
Therefore $1\text{g}=\frac{1}{1000}\text{kg}=0.001\text{kg}$
$8\text{g}=\frac{8}{1000}\text{kg}$
$=0.008\text{kg}$

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Question 642 Marks

Express the following without using decimals: $12.05m$

Answer

We know that $1m = 100\ cm.$
Therefore, $12.05 = 12 + 05$
$=12+\frac{5}{100} = 12m$ and $5\ cm$

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Question 652 Marks

Express as centimetre (cm) using decimals: $60\ mm$

Answer

We know that $10\ mm = 1\ cm$
Therefore $1\text{mm}=\frac{1}{10}\text{cm}$
$60\text{mm}=\frac{60}{10}\text{cm}$
$=6\text{cm}$

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Question 662 Marks

Write the decimal number represented by the points on the given number line: $A, B, C, D.$

Answer

$a.\ 0.8,$ since $A$ is at the eighth place between $0$ and $1.$
$b.\ 1.3,$ since $B$ is at the third place between $1$ and $2.$
$c.\ 1.9,$ since $C$ is at the ninth place between $1$ and $2.$
$d.\ 2.6,$ since $D$ is at the sixth place between $2$ and $3.$
Disclaimer: The image given in the book is not consistent; as the number of periods between $0$ and $1$ is ten but the number of periods between $1$ and $2$ are seven. So, ignoring the position of the given numbers $1, 2$ and $3.$ it has been assumed that there are ten periods between every two consecutive numbers starting from the first point taken as zero.

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Question 672 Marks

Convert the following decimals as fractions: $0.7575$

Answer

$=\frac{7575}{10000}$$=\frac{\frac{7575}{25}}{\frac{10000}{25}}$
$=\frac{303}{400}$

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Question 682 Marks

Express as metres (m) using decimals:
$135\ cm$

Answer

We know that $100\ cm = 1m$
Therefore $1\text{m}=\frac{1}{100}\text{m}$
$135\text{cm}=135\Big(\frac{1}{100}\text{m}\Big)=\frac{135}{100}\text{m}$
$=1.35\text{m}$

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Question 692 Marks

Write the following decimals as fractions. Reduce the fractions to lowest form: $17.38$

Answer

$=17+0.38$ $=17+38\ \text{hundredths}$ $=17+\frac{38}{100}$ $=\frac{17\times100}{100}+\frac{38}{100}$ $=\frac{1700}{100}+\frac{38}{100}$ $=\frac{1738}{100}$ $=\frac{869}{50}$

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Question 702 Marks

Express as kilogram (kg) using decimals: $150g$

Answer

We know that $1000\ g = 1\ kg$
Therefore $1\text{g}=\frac{1}{1000}\text{kg}=0.0001\text{kg}$
$150\text{g}=\frac{150}{1000}\text{kg}$
$=0.150\text{kg}$

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Question 712 Marks

Choose the decimal (s) from the brackets which is (are) not equivalent to the given decimals:

$0.8$

$(0.80, 0.85, 0.800, 0.08)$

Answer

$0.85$ and $0.08$ are not equivalent to the given decimal. In $0.85,$ we have $5$ in the hundredth place, where as in $0.8$ we have nothing in the hundredth place. In $0.08, 0$ is in the tenth place, whereas in $0.8, 8$ is in the tenth place.

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Question 722 Marks

Express the following without using decimals: $15.005\ kg$

Answer

We know that $1m = 100\ cm$
Therefore $12.05 = 12 + 0.05$
$=12+\frac{5}{100}$
$=12\text{m},5\text{cm}$

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Question 732 Marks

Express as centimetre (cm) using decimals: $4\ cm\ 5\ mm$

Answer

We know that $10\ mm = 1\ cm$
Therefore $1\text{mm}=\frac{1}{10}\text{cm}$
$4\text{cm}\ 5\text{mm}=4+\frac{5}{10}$
$=4.5\text{cm}$

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Question 742 Marks

Write the following decimals in the place value table:
$i.\ 52.5$
$ii.\ 12.57$
$iii.\ 15.05$
$iv.\ 74.059$
$v.\ 0.503$

Answer

	Thousands	Hundreds	Tens	Ones	Tenths	Hundredths	Thousand
$i$			$5$	$2$	$5$
$ii$			$1$	$2$	$5$	$7$
$iii$			$1$	$5$	$0$	$5$
$iv$			$7$	$4$	$0$	$5$	$9$
$v$					$5$	$0$	$3$

The given decimals can be written as above in the place$-$value table.

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Question 752 Marks

Radhika's mother gave her $Rs. 10.50$ and her father gave her $Rs. 15.80,$ find the total amount given to Radhika by her parents.

Answer

Radhika's mother gave her $Rs. 10.50$
Radhika's father gave her $Rs. 15.80$
Total amount given to Radhika, $= 10.50 + 15.80 = Rs. 26.30$

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Question 762 Marks

Convert the following decimals as fractions: $2.3675$

Answer

$=2+0.3675$
$=2+\frac{3675}{10000}$
$=2+\frac{\frac{3675}{25}}{\frac{10000}{25}}$
$=2+\frac{147}{400}$
$=2\frac{147}{400}$
$=\frac{947}{400}$

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Maths 2 Marks Questions