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Write the following as numbers in the given table.
Tans Ones Tenths Hundreds Tens Tenths
| Hundreds | Tens | Ones | Tenths |
| (100) | (10) | (1) | (1/10) |
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Write the following decimals in the place value table. (a) 19.4 (b) 0.3 (c) 10.6 (d) 205.9
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Write each of the following as decimals. (a) Seven-tenths (b) Two-tens and nine-tenths (c) Fourteen point six (d) One hundred and two ones (e) Six hundred point eight
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Write each of the following as decimals. (a) \[=30+\frac{2}{100}+\frac{5}{1000}=30+0.02+0.005=30.025\] (b) \[2\times 100+1\times 10+1\times 1+9\times \frac{1}{10}+0\times \frac{1}{100}+2\times \frac{1}{1000}\] (c) \[=200+10+1+\frac{9}{10}+0+\frac{2}{1000}=211+\frac{9}{10}+\frac{2}{1000}\] (d) \[=211+0.9+0.002=211.902\] (e) \[0\times 100+1\times 10+2\times 1+2\times \frac{1}{10}+4\times \frac{1}{100}+1\times \frac{1}{1000}\] (f) \[=0+10+2+\frac{2}{10}+\frac{4}{100}+\frac{1}{1000}=12+\frac{2}{10}+\frac{4}{100}+\frac{1}{1000}\] (g) \[=12+0.2+0.04+0.001=12.241\] (h) \[0.29=0+\frac{2}{10}+\frac{9}{100}\] (i) \[2.08=2+\frac{0}{10}+\frac{8}{100}\] (j) \[19.60=10+9+\frac{6}{10}+\frac{0}{100}\] (k) \[14.8.32=100+40+8+\frac{3}{10}+\frac{2}{100}\]
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Write the following decimals as fractions. Reduce the fractions to lowest form. (a) 0.6 (b) 2.5 (c) 1.0 (d) 3.8 (e) 13.7 (f) 21.2 (g) 6.4 TIPS Firstly, write the given decimal into fraction with denominator 10 and then simplify traction to write in lowest form i.e. numerator and denominator have no common factor other than 1.
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Express the following as cm using decimals. (a) 2 mm (b) 30 mm (c) 116 mm (d) 4 cm 2 mm (e) 162 mm (f) 83 mm TIPS As we know that, \[+5\times \frac{1}{100}\] To convert mm into cm, we use tenths i.e. multiply given mm by 1/10 cm.
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Between which two whole numbers on the number line are the given numbers lie? Which of these whole numbers is nearer the number?
(a) 0.8 (b) 5.1 (c) 2.6 (d) 6.4 (e) 9.1 (f) 4.9
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Show the following numbers on the number line. (a) 0.2 (b) 1.9 (c) 1.1 (d) 2.5
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Write the decimal number represented by the points A, B, C and D on the given number line.
TIPS To write the decimal numbers represented by given points on the number line, we count their distance from 0. Here, each part represents 0.1.
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(a) The length of Ramesh's notebook is 9 cm 5 mm. What will be its length in cm? (b) The length of a young gram plant is 65 mm. Express its length in cm.
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Complete the table with the help of these boxes and use decimals to write the number. (a)
(b)
(c)
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Write the numbers given in the following place value table in decimal form.
| Hundreds (100) | Tens (10) | Ones (1) | Tenths (1/10) | Hundredths (1/100) | Thousandths (1/1000) |
| (a) | 0 | 0 | 3 | 2 | 5 | 0 |
| (b) | 1 | 0 | 2 | 6 | 3 | 0 |
| (c) | 0 | 3 | 0 | 0 | 2 | 5 |
| (d) | 2 | 1 | 1 | 9 | 0 | 2 |
| (e) | 0 | 1 | 2 | 2 | 4 | 1 |
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Write the following decimals in the place value table. (a) 0.29 (b) 2.08 (c) 19.60 (d) 148.32 (e) 200.812
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Write each of the following as decimals. (a) \[\frac{1}{10}\] (b) \[1mm=\frac{1}{10}cm\] (c) \[\therefore \] (d) \[5mm=5\times \frac{1}{10}cm=\frac{5}{10}cm=0.5cm\] (e)\[1mm=\frac{1}{10}cm\]
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Write each of the following decimals in words. (a) 0.03 (b) 1.20 (c) 108.56 (d) 10.07 (e) 0.032 (f) 5.008
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Between which two numbers in tenths place on the number line does each of the given number lie? (a) 0.06 (b) 0.45 (c) 0.19 (d) 0.66 (e) 0.92 (f) 0.57 TIPS Firstly, draw a number line and divide the unit length between 0 and into 10 equal parts. Each part out of these parts represents 0.1 or one tenths. Again, we divide unit length between two-tenths into 10 equal parts. Each of these part will represent one-hundredths. Then, represent each decimal on number line to find two numbers between on which it lies.
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Write as fractions in lowest terms. (a) 0.60 (b) 0.05 (c) 0.75 (d) 0.18 (e) 0.25 (f) 0.125 (g) 0.066 TIPS Firstly, write the given decimal as a fraction with denominator 10,100 or 1000 (10 for tenths, 100 for hundredths and 1000 for thousandths) and then divide numerator and denominator by their HCF to write in lowest form.
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Which is greater? (a) 0.3 or 0.4 (b) 0.07 or 0.02 (c) 3 or 0.8 (d) 0.5 or 0.05 (e) 1.23 or 1.2 (f) 0.099 or 0.19 (g) 1.5 or 1.50 (h) 1.431 or 1.490 (i) 3.3 or 3.300 (j) 5.64 or 5.603 TIPS Firstly, write the given decimal in place value term to know about greater in given two decimals. We first compare the whole part and decimal having greater whole part will be greater. If whole part is same for both, then compare the tenths part and decimal having greater tenths part will be greater. If tenths part is also same, then compare the hundredths part and decimal having greater hundredths part will be greater. If hundredths part is same, then compare the thousandths part and find greater decimal number.
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Make five more examples and find the greater number from them.
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Express as rupees using decimals. (a) 5 paise (b) 75 paise (c) 20 paise (d) 50 rupees 90 paise (e) 725 paise TIPS As we know that, 100 paise = ` \[\frac{2}{5}.\] paise = ` \[\therefore \]= ` 0.01 So, to express paise as rupees, multiply paise by \[\frac{2}{5}=\frac{2\times 2}{5\times 2}=\frac{4}{10}\](i.e. hundredths).
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Express as metres using decimals. (a) 15 cm (b) 6 cm (c) 2 m 45 cm (d) 9 m 7 cm (e) 419 cm TIPS As we know that, \[=\frac{20}{10}+\frac{5}{10}=\frac{20+5}{10}=\frac{25}{10}\]\[=\frac{25\div 5}{10\div 5}=\frac{5}{2}\] So, to express cm as m, multiply cm by \[\because \](i.e. hundredths).
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Express as cm using decimals. (a) 5 mm (b) 60 mm (c) 164 mm (d) 9 cm 8 mm (e) 93 mm TIPS we know that, \[13.7=\frac{137}{10}\] So, to express mm as cm, multiply mm by \[=\frac{137}{10}\] (i.e. tenths)
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Express as km using decimals. (a) 8 m (b) 88 m (c) 8888 m (d) 70 km 5 m TIPS As we know that, \[\therefore \]\[2mm=2\times \frac{1}{10}cm=\frac{2}{10}cm=0.2cm\]\[10mm=1cm\Rightarrow 1mm=\frac{1}{10}cm\] So, to express m as, km multiply m by \[\therefore \] (i.e. thousandths).
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Express as kg using decimals. (a) 2 g (b) 100 g (c) 3750 g (d) 5 kg 8 g (e) 26 kg 50 g
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Find the sum in each of the following. (a) 0.007 + 8.5 + 30.08 (b) 15 + 0.632 + 13.8 (c) 27.076 + 0.55 + 0.004 (d) 25.65 + 9.005 + 3.7 (e) 0.75 + 10.425 + 2 (f) 280.69 + 25.2 + 38 TIPS Firstly, write the given decimals with like terms (i.e. tens, ones, tenths, hundredths, thousandths) one below the other and then, add same as whole numbers.
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Rashid spent ` 35.75 for Maths book and ` 32.60 for Science book. Then, find the total amount spent by Rashid.
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Radhika's mother gave her ` 10.50 and her father gave her ` 15.80, then find the total amount given to Radhika by the parents.
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Nasreen bought 3 m 20 cm cloth for her shirt and 2 m 5 cm cloth for her trouser. Then, find the total length of cloth bought by her. TIPS Firstly, write the given length in metre using decimal and then add by putting one below other same as whole numbers.
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Naresh walked 2 km 35 m in the morning and 1 km 7 m in the evening. How much distance did he walk in all? TIPS Firstly, write the given distance into km using decimals and then add by putting one below other same as whole numbers,
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Sunita travelled 15 km 268 m by bus, 7 km 7 m by car and 500 m on foot in order to reach her school. How far is her school from her residence?
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Ravi purchased 5 kg 400 g rice, 2 kg 20 g sugar and 10 kg 850 g flour. Find the total weight of his purchases. TIPS Firstly, write the weight in kg using decimals and then add by putting one below other same as whole numbers,
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Subtract. (a) ` 18.25 from ` 20.75 (b) 202.54 m from 250 m (c) ` 5.36 from ` 8.40 (d) 2.051 km from 5.206 km (e) 0.314 kg from 2.107 kg
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1. ind the value of (a) 9.756 ? 6.28 (b) 21.05 ? 15.27 (c) 18.5 ? 6.79 (d) 11.6 ? 9.847 TIPS Firstly, write the decimals in columns with decimal points directly below each other, then subtract same as whole numbers.
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Raju bought a book for ` 35.65. He gave ` 50 to the shopkeeper. How much money did he get back from the shopkeeper?
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Rani had ` 18.50. She bought one ice-cream for ` 11.75. How much money does she have now?
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Tina had 20 m 5 cm long cloth. She cuts 4 m 50 cm length of cloth from this for making a curtain. How much cloth is left with her?
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Namita travels 20 km 50 m everyday. Out of this she travels 10 km 200 m by bus and the rest by auto. How much distance does she travel by auto? TIPS Firstly, write the distance travelled by Namita in km using decimals. To find the distance travelled by auto, subtract distance travelled by bus from total distance travelled by Namita.
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Aakash bought vegetables weighing 10 kg. Out of this, kg 500 g is onions, 2 kg 75 g is tomatoes and the rest is potatoes. What is the weight of the potatoes? TIPS Firstly, write the weight of all vegetables in kg using decimals, then add the weight of onions and tomatoes. To find the weight of potatoes, subtract this sum from total weight of vegetables.
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