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Published on: 12/08/2019
Decimals
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Questions + Answers key
Take MCQ Mathematics Test
1.
Express as km using decimals
8888 m
2.
Write as fractions in lowest terms. 0.60
3.
Express the following as cm using decimals. 162 mm
4.
Write each of the following as decimals. \(\frac { 12 }{ 5 } \)
5.
Write the following numbers in the place value table.
(a) 6.5 (b) 30.5
6.
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
7.
Ravi and Raju measured the length of their pencils.Ravi's pencil was 7 cm and 5 mm long and Raju'spencil was 8 cm and 3 mm long. Write the lengths of Ravi's and Raju's pencil (in cm) using decimals.
8.
Jassy went to the market with Rs 1000. She bought a school bag Rs 275 and a lunch box Rs 90.50. Find the amount left with her.
9.
What should be subtracted from 117.47 to get 47.95?
10.
Subtract 0.316 kg from 2.876 kg.
11.
Write as fraction in lowest form. 4.50
12.
1 kg 500 g =
1.5 kg
1.05 kg
1.005 kg
1.0005 kg
13.
5g=
0.005 kg
0.05 kg
0.5 kg
none of these
14.
40mm =
4cm
8cm
0.4 cm
0.04 cm
15.
\(\cfrac { 2 }{ 10 } +\cfrac { 3 }{ 100 } +\cfrac { 4 }{ 1000 } \)
0.234
2.34
23.4
234.
16.
0.4 =
\(\cfrac { 1 }{ 5 } \)
\(\cfrac { 2 }{ 5 } \)
\(\cfrac { 3 }{ 5 } \)
\(\cfrac { 4 }{ 5 } \)
17.
One hundred and l-one =
101
1.01
10.1
0.101.
18.
\(19+\frac { 5 }{ 10 } +\frac { 7 }{ 100 } \) in decimal form is written as
19.75
19.057
19.705
19.57
19.
15.8 - 6.73 is equal to
8.07
9.07
9.13
9.25
20.
0.023 lies between
0.2 and 0.3
0.02 and 0.03
0.03 and 0.029
0.026 and 0.024
21.
9 cm 8 mm = _______________ cm
22.
Decimal 16.25 is equal to the fraction ____________
23.
3 Hundredths + 2 tenths = _____________
24.
The value of 3.64 - 1.28 is ____________
25.
13 rupees 30 paise = Rs 13.03
26.
2 kg 52 g is equal to 2.052 g.
27.
180 m 28 cm = 180.028 m
28.
The place value of a digit at the hundredths place is \(\frac { 1 }{ 10 } \) times the same digit at the tenths place
29.
In the decimal form, fraction \(\frac { 25 }{ 8 } =3.125\)
1.
We know that, 1 m \(={1\over 1000}\) km
\(\therefore\) 8888 m \(=8888\times{1\over 1000}\) km
\(={8888\over1000}\) km = 8.888 km
2.
We have, \(0.60=\frac { 60 }{ 100 } =\frac { 60\div 20 }{ 100\div 20 } =\frac { 3 }{ 5 } \)
\(\left[ \because \quad HCF\quad of\quad 60\quad and\quad 100= 20 \right] \)
3.
162 mm = 16.2 cm
4.
\(\cfrac { 12 }{ 5 } =\cfrac { 12\times 2 }{ 5\times 2 } =\cfrac { 24 }{ 10 } =\cfrac { 20+4 }{ 10 } \)
=\(\cfrac { 20 }{ 10 } +\cfrac { 4 }{ 10 } =2+\cfrac { 4 }{ 10 } =2.4\)
5.
Let us make a common place value table, assigning appropriate place value to the digits in the given numbers. We have,
| Number | Tens(10) | Ones(1) | Tenths\(\left( \frac { 1 }{ 10 } \right) \) |
|---|---|---|---|
| 6.5 | 0 | 6 | 5 |
| 30.5 | 3 | 0 | 5 |
6.
Firstly, draw the number line and divide the unit length between two whole numbers into 10 equal parts, each of these equal parts represents 0.1 or 1/10. Now, locate the given decimals on this line.
(a) We have, 0.8
From the above figure, it is clear that number 0.8 lies between the whole numbers 0 and 1.
Hence, number 0.8 is nearer to number 1.
(b) We have, 5.1
From the above figure, it is clear that number 5.1 lies between the whole numbers 5 and 6.
Hence, number 5.1 is nearer to number 5.
(c) We have, 2.6
From the above figure, it is clear that number 2.6 lies between the whole numbers 2 and 3.
Hence, number 2.6 is nearer to number 3.
(d) We have, 6.4
From the above figure, it is clear that number 6.4 lies between the whole numbers 6 and 7.
Hence, number 6.4 is nearer to number 6.
(e) We have, 9.1
From the above figure, it is clear that number 9.1 lies between the whole numbers 9 and 10.
Hence, number 9.1 is nearer to number 9.
(f) We have, 4.9
From the above figure, it is clear that number 4.9 lies between the whole numbers 4 and 5.
Hence, number 4.9 is nearer to number 5.
7.
Given, length of Ravi's pencil = 7 cm 5 mm
and length of Raju's pencil = 8 cm 3 mm
We know that, 10 mm = 1cm
\(\therefore\)1 mm = \(\frac { 1 }{ 10 } \) cm or one-tenth cm = 0.1 cm
Now, length of Ravi's pencil = 7 cm 5 mm
= 7 cm and 5 tenths cm
= 7cm + \(\frac { 5 }{ 10 } \) cm
= 7 crn+ 0.5 cm = 7.5 cm
and length of Raju's pencil = 8 cm 3 mm
= 8 cm and 3 tenths cm
=8 cm + \(\frac { 3 }{ 10 } \)cm=8 cm + 0.3 cm = 8.3 cm
8.
Rs 634.50
9.
To get the required number, we have
117.47 - 47.95 = 69.52
10.
2.876 kg - 0.316 kg
i.e.
\(\quad 2.876\\-0.316\\ \_\_\_\_\_\_\_\_\\ \ Rs\ 2.560 kg\\ \_\_\_\_\_\_\_\_\)
11.
\(4.50=4+\frac { 50 }{ 100 } =4+\frac { 1 }{ 2 } =4\frac { 1 }{ 2 } =\frac { 9 }{ 2 } \)
12.
(a)
1.5 kg
13.
(a)
0.005 kg
14.
(a)
4cm
15.
(a)
0.234
16.
(b)
\(\cfrac { 2 }{ 5 } \)
17.
(a)
101
18.
(d)
19.57
19.
(b)
9.07
20.
(b)
0.02 and 0.03
21.
( )
9.8 cm
22.
( )
\(\frac { 1625 }{ 100 } \)
23.
( )
0.23
24.
( )
2.36
25.
(b)
26.
(b)
27.
(b)
28.
(a)
29.
(a)
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