2 Mark Question

Question 512 Marks

Express as centimetre (cm) using decimals:
5mm

Answer

We know that 10mm = 1cm
Therefore $1\text{mm}=\frac{1}{10}\text{cm}$
$5\text{mm}=\frac{5}{10}\text{cm}$
$=0.5\text{cm}$

Question 522 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 532 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 542 Marks

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

Answer

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

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Question 552 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 562 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 572 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 582 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 592 Marks

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

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Question 602 Marks

Express the following without using decimals:
8.354kg

Answer

We know that 1000 g = 1kg.
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 612 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 622 Marks

Express the following without using decimals:
7.54m

Answer

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

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Question 632 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 642 Marks

Express as kilogram (kg) using decimals:
8g

Answer

We know that 1000g = 1kg
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 652 Marks

Express the following without using decimals:
12.05m

Answer

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

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Question 662 Marks

Express as centimetre (cm) using decimals:
60mm

Answer

We know that 10mm = 1cm
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 672 Marks

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

Answer

0.8, since A is at the eighth place between 0 and 1.
1.3, since B is at the third place between 1 and 2.
1.9, since C is at the ninth place between 1 and 2.
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 682 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 692 Marks

Express as metres (m) using decimals:
135cm

Answer

We know that 100cm = 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 702 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 712 Marks

Express as kilogram (kg) using decimals:
150g

Answer

We know that 1000g = 1kg
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 722 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 732 Marks

Express the following without using decimals:
15.005kg

Answer

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

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Question 742 Marks

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

Answer

We know that 10mm = 1cm
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 752 Marks

Write the following decimals in the place value table:

52.5
12.57
15.05
74.059
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 762 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 772 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 Mark Question