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Maths 1 Mark Question

ecimals · Maharashtra Board STD 6 (MSBSHSE - Semi English Medium). 62 questions.

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Question 11 Mark
Fill in the place holders with the correct symbol > or <:
8.34 ________ 8.43
Answer
8.34 < 8.43

Solution:

Converting the given decimals into like decimals, they become 8.34 and 8.43. The whole-number parts of these numbers are equal.

So, we compare their tenths digits.

Clearly, 3 tenths < 4 tenths

Hence, 8.34 < 8.43
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Question 21 Mark
Fill in the blanks.
10ml = ...... 1
Answer
10ml = 0.01
Solution:
$10\text{mL}=\frac{1}{100}\ 1=0.01\text{L}$
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Question 41 Mark
Using decimals, express:
8kg 640g in kilograms.
Answer
8kg 640g in kilograms,
$8\frac{640}{1000}\text{kg}$
$=8.640\text{kg}$
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Question 51 Mark
Using decimals, express:
270m in kilometres
Answer
270m in kilometres
$=\frac{270}{1000}\text{km}$
$=0.270\text{km}$
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Question 61 Mark
Convert the following into a fraction in its simplest form:
$0.224$
Answer
$0.224$
$=\frac{224}{1000}$
$=\frac{224\div8}{1000\div8}$
$=\frac{28}{125}$
(Dividing by 8, the HCF of 224, 1000)
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Question 81 Mark
Write the following decimals in expanded form:
8.006
Answer
= 8 ones + 0 tenths + 0 hundredths + 6 thousandths
$=8+\frac{0}{10}+\frac{0}{100}+\frac{6}{1000}$
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Question 91 Mark
Write the place value of digit in the following decimals:
5370. 34
Answer
Place value of 5 = 5000, Place value of 3 = 300, place value of 7 = 70, Place value of 0 = 0.
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Question 101 Mark
Write 'T' for true and 'F' for false for the statements given below:
2.3, 3.41, 4.53, 5.61 are examples of like decimals.
Answer
False.
Solution:
In this case, every decimal should have 2 decimals in order to be like decimals. But, 2.3 has only 1 decimal.
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Question 111 Mark
Arrange the following decimals in ascending order:
6.54, 6.45, 6.4, 6.5, 6.05
Answer
Converting the given decimals into like decimals, we get them as

6.54, 6.45, 6.40, 6.50, 6.05

Clearly, 6.05 < 6.40 < 6.45 < 6.50 < 6.54
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Question 121 Mark
Fill in the blanks.
16kg 5g = ...... kg
Answer
16kg 5g = 16.005kg
Solution:
16kg 5g = (16 + 0.005)kg = 16.005kg
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Question 131 Mark
Using decimals, express:
6kg 8g in kilograms
Answer
6kg 8g in kilograms,
$6\frac{8}{1000}\text{kg}$
$=6.008\text{kg}$
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Question 141 Mark
$0.48$
Answer
$0.48$
$=\frac{48}{100}$
$=\frac{48\div4}{100\div4}$
$=\frac{12}{25}$
(Dividing by 5, the HCF of 15, 100)
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Question 161 Mark
Write 'T' for true and 'F' for false for the statements given below:
3.02 < 3.2
Answer
True.
Solution:
This is because after converting them into like decimals, we get 3.20 > 3.02, which is true.
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Question 171 Mark
Using decimals, express:
9kg 37g in kilograms
Answer
9kg 37g in kilograms,
$9\frac{37}{1000}\text{kg}$
$=9.037\text{kg}$
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Question 191 Mark
Using decimals, express:
8g in kilograms
Answer
8g in kilograms
$=\frac{8}{1000}\text{kg}$
$=0.008\text{kg}$
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Question 201 Mark
Write the place value of digit in the following decimals:
186.209
Answer
Place value of 1 = 100, Place value of 8 = 80, place value of 6 = 6
Place value of $2=\frac{2}{10},$ Place value of $0=\frac{0}{100},$ place value of $9=\frac{9}{1000}$
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Question 211 Mark
$0.15$
Answer
$0.15$
$=\frac{15}{100}$
$=\frac{15\div5}{100\div5}$
$=\frac{3}{20}$
(Dividing by 5, the HCF of 15, 100)
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Question 221 Mark
Write 'T' for true and 'F' for false for the statements given below:
$\frac{341}{1000}=3.410$
Answer
False.
Solution:
$\frac{341}{1000}=0.341$
This is because it is equal to 341 thousandths.
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Question 231 Mark
Fill in the place holders with the correct symbol > or <:
12.06 ______ 12.006
Answer
12.06 > 12.006

Solution:

Converting the given decimals into like decimals, they become 12.06 and 12.006. The whole number parts of these numbers are equal.

So, we compare their hundreds digits.

Clearly, 6 hundreds < 0 hundreds. Hence, 12.06 > 12.006.
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Question 251 Mark
Write the place value of digit in the following decimals:
46.075
Answer
Place value of 4 = 40, Place value of 6 = 6,
Place value of $0=\frac{0}{10},$ Place value of $7=\frac{7}{100},$ Place value of $5=\frac{5}{1000}$
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Question 261 Mark
Write the following decimals in expanded form:
0.97 _______ 1.07
Answer
0.97 < 1.07

Solution:

The given decimals are 0.97 and 1.07

Let us compare their whole-number parts.

Clearly, 0 < 1 So, 0.97 < 1.07
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Question 271 Mark
$0.6$
Answer
$0.6$
$=\frac{6}{10}$
$=\frac{6\div2}{10\div2}$
$=\frac{3}{5}$
(Dividing by 2, the HCF of 6, 10)
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Question 281 Mark
$.08$
Answer
$.08$
$=\frac{8}{100}$
$=\frac{8\div4}{100\div4}$
$=\frac{2}{25}$
(Dividing by 4, the HCF of 7, 100)
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Question 291 Mark
Using decimals, express:
32 paise in rupees
Answer
32 paise in rupees
$=\frac{32}{100}\text{rupees}$
$=0.32\text{rupees}$
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Question 301 Mark
Using decimals, express:
3km 6m in kilometres
Answer
3km 6m in kilometres
$=3\frac{6}{1000}\text{km}$
$=3.006\text{km}$
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Question 311 Mark
Write the following decimals in expanded form:
24.675
Answer
= 2 hundreds + 8 tens + 3 ones + 6 tenths + 1 hundredths
$=200+80+3+\frac{6}{10}+\frac{1}{100}$
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Question 321 Mark
Using decimals, express:
15kg 850g in kilograms
Answer
15kg 850g in kilograms
$=\frac{15}{1000}\text{kg}$
$=15.850\text{kg}$
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Question 331 Mark
Arrange the following decimals in ascending order:
3.3, 3.303, 3.033, 0.33, 3.003
Answer
Converting the given decimals into like decimals, we get them as,

3.300, 3.303, 3.033, 0.330, 3.003

Clearly, 0.330 < 3.003 <3.033 < 3.300 < 3.303
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Question 341 Mark
Using decimals, express:
Rs. 9 and 8 paise in rupees
Answer
Rs. 9 and 8 paise in rupees
$=9\frac{8}{100}\text{rupees}$
$=9.08\text{rupees}$
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Question 351 Mark
Using decimals, express:
6m in kilometres
Answer
6m in kilometres
$=\frac{6}{1000}\text{km}$
$=0.006\text{km}$
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Question 361 Mark
Write the following decimals in expanded form:
283.61
Answer
$=(2\times100)+(8\times10)+(3\times1)+\Big(6\times\frac{1}{10}\Big)+\Big(1\times\frac{1}{100}\Big)$
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Question 381 Mark
Using decimals, express:
4km 365m in kilometres
Answer
4km 365m in kilometres
$=4\frac{365}{1000}\text{km}$
$=4.365\text{km}$
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Question 391 Mark
Using decimals, express:
5 paise in rupees
Answer
5 paise in rupees
$=\frac{5}{100}\text{rupees}$
$=0.05\text{rupees}$
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Question 401 Mark
Write the following decimals in expanded form:
4615.72
Answer
= 4 thousands + 6 hundreds + 1 tens + 5 ones + 7 tenths + 2 hundredths
$=4000+600+10+5+\frac{7}{10}+\frac{2}{100}$
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Question 411 Mark
Write the following decimals in expanded form:
67.83
Answer
$=(6\times10)+(7\times1)+\Big(8\times\frac{1}{10}\Big)+\Big(3\times\frac{1}{100 }\Big)$
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Question 421 Mark
Using decimals, express:
540g in kilograms
Answer
540g in kilograms
$=\frac{540}{1000}\text{kg}$
$=0.540\text{kg}$
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Question 431 Mark
Write 'T' for true and 'F' for false for the statements given below:
6.2 and 6.200 are equivalent decimals.
Answer
True.
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Question 441 Mark
Fill in the blanks.
3.02, 4.75, 1.63 are examples of ...... decimals.
Answer
3.02, 4.75, 1.63 are examples of like decimals.
Solution:
3.02, 4.75, 1.63 are examples of like decimals.
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Question 451 Mark
Using decimals, express:
35m in kilometres
Answer
35m in kilometres
$=\frac{35}{1000}\text{km}$
$=0.035\text{km}$
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Question 461 Mark
Using decimals, express:
5km 87m in kilometres
Answer
5km 87m in kilometres
$=5\frac{87}{1000}\text{km}$
$=5.087\text{km}$
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Question 471 Mark
Write the following decimals in expanded form:
0.294
Answer
= 2 tenths + 9 hundredths + 4 thousandths$=\frac{2}{10}+\frac{9}{100}+\frac{4}{1000}$
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Question 481 Mark
Using decimals, express:
8kg 96g in kilograms
Answer
8kg 96g in kilograms
$=8\frac{96}{1000}\text{kg}$
$=8.096\text{kg}$
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Question 501 Mark
Write the following decimals in expanded form:
3.85 ______ 3.805
Answer
3.85 > 3.805

Solution:

Converting the given decimals into like decimals, they become 3.85 and 3.805. The whole-number parts of these numbers are equal.

So, we compare their hundreds digits.

Clearly, 5 hundreds < 0 hundreds.

Hence, 3.85 > 3.805.
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Question 521 Mark
Write 'T' for true and 'F' for false for the statements given below:
3g = 0.003kg
Answer
True.
Solution:
$1\text{g}=\frac{1}{1000}\text{kg}$
$\therefore3\text{g}=\frac{3}{1000}=0.003\text{kg}$
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Question 541 Mark
Using decimals, express:
Rs. 18 and 25 paise in rupees
Answer
Rs. 18 and 25 paise in rupees
$=18\frac{25}{1000}\text{rupees}$
$=18.25\text{rupees}$
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Question 551 Mark
Fill in the blanks.
1m = ...... km
Answer
1m = 0.001km
Solution:
$1\text{m}=\frac{1}{1000}\text{km}=0.001\text{km}$
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Question 571 Mark
Write the place value of digit in the following decimals:
14.83
Answer
Place value of 1 = 10, Place value of 4 = 4.
Place value of $8=\frac{8}{10},$ Place value of $3=\frac{3}{100}$
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Question 581 Mark
Write the place value of digit in the following decimals:
275.269
Answer
Place value of 2 = 200, Place value of 7 = 70, plave value of 5 = 5
Place value of $2=\frac{2}{10},$ Place value of $6=\frac{6}{100},$ Place value of $9=\frac{9}{100}$
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Question 591 Mark
Fill in the place holders with the correct symbol > or <:
7.608 ______ 7.68
Answer
7.608 < 7.68

Solution:

Converting the given decimals into like decimals, they become 7.608 and 7.68. The whole number parts of these numbers are equal.

So, we compare their hundreds digits.

Clearly, 0 hundreds < 8 hundreds.

7.608 < 7.68.
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Question 601 Mark
Write the place value of digit in the following decimals:
302.459
Answer
Place value of 3 = 300, Place value of 0 = 00, place value of 2 = 2
Place value of $4=\frac{4}{10},$ Place value of $5=\frac{5}{100},$ Place value of $9=\frac{9}{1000}$
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Question 611 Mark
Convert the following into a fraction in its simplest form:
$0.125$
Answer
$=\frac{125}{1000}$
$=\frac{125\div125}{1000\div125}$
$=\frac{1}{8}$
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Question 621 Mark
Fill in the place holders with the correct symbol > or <:
84.23 ____ 76.35
Answer
84.23 > 76.35

Solution:

The given decimals are 84.23 and 76.35

Let us compare their whole-number parts.

Clearly, 84 > 76

So, 84.23 > 76.35
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