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Maths 1 Mark Question

Decimals · Maharashtra Board STD 6 (MSBSHSE - Semi English Medium). 121 questions.

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Question 11 Mark
Write of the following as decimals:
$137+\frac{5}{100}$
Answer
Here, we have 1 hundred, 3 tens, 7 ones and 5 hundredths.Therefore, the decimal is 137.05.
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Question 21 Mark
Add the following:
41.8, 39.24, 5.01 and 62.6
Answer
$\underline{\ \ \ \ 41.80\\+ 39.24\\+\ \ 5.01\\+62.60\ \ \ }\\=148.65$
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Question 41 Mark
Which of the following statements are correct?
8.05 and 7.95 are like decimals.
Answer
Correct, since these two decimals have the same number of digits after the decimal point, only 2.
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Question 51 Mark
Add the following:
4.702, 4.2, 6.02 and 1.27
Answer
$\underline{\ \ \ \ 4.702\\+ 4.200\\+6.020\\+1.270\ \ \ }\\=16.192$
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Question 61 Mark
Which of the following statements are correct?
13.59, 1.359, 135.9 are like decimals.
Answer
Incorrect, since these three decimals have different numbers of digits after the decimal point.
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Question 71 Mark
Express the following decimals as fractions in the lowest form:
2.5
Answer
$2.5=\frac{25}{10}=\frac{5}{2}$
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Question 91 Mark
Find the sum in the following:
27.076 + 0.55 + 0.004
Answer
$\underline{\ \ \ \ 27.076\\+\ \ 0.550\\+\ \ 0.004\ \ }\\=27.630$
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Question 111 Mark
Write of the following as decimals:
Fifteen and seventeen thousandths.
Answer
$15+\frac{17}{1000}=15.017$
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Question 121 Mark
Write the following as decimals:
$12\frac{1}{4}$
Answer
$12\frac{1}{4}=12+\frac{1}{4}$
$=12+\frac{25}{4\times25}$
$=12+\frac{25}{100}$
$=12.25$
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Question 141 Mark
Convert the following decimals into fractions in simplest form:
0.025
Answer
$=\frac{025}{1000}$
$=\frac{\frac{25}{25}}{\frac{1000}{25}}$
$=\frac{1}{40}$
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Question 151 Mark
Find the sum in the following:
$\underline{\ \ \ \ 0.06\\+ 4.108\\+ 91.5\ \ \ \ \ \ \ }$
Answer
$\underline{\ \ \ \ 0.060\\+ 4.108\\+ 91.500\ \ \ }\\=95.668$
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Question 161 Mark
Fill in the blank by using > or < to complete the following:
0.39 ___ 0.72
Answer
0.39 < 0.72Solution:
Here, the whole parts are 0. Hence, we should check the tenth parts. Now, 3 < 7.
Therefore, $\frac{3}{10}+\frac{9}{100}<\frac{7}{10}+\frac{2}{100}$
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Question 171 Mark
Find the sum in the following:
280.69 + 25.2 + 38
Answer
$\underline{\ \ \ \ 280.69\\+\ \ 25.20\\+\ \ 38.00\ \ }\\=343.89$
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Question 181 Mark
Write the following decimal as fractions. Reduce the fractions to lowest form:
1.0
Answer
Since the only number after the decimal is 0, the fraction is 1.
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Question 191 Mark
Express the following decimals as fractions in the lowest form:
600.75
Answer
$600.75=\frac{60075}{100}=\frac{2403}{4}$
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Question 201 Mark
Write of the following as decimals:
$30+\frac{4}{10}+\frac{8}{100}+\frac{3}{1000}$
Answer
Here, we have 3 tens, 4 tenths, 8 hundredths and 3 thousandths.
Therefore, the decimal is 30.483.
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Question 211 Mark
Which of the following are like decimals:
0.34, 0.07, 5.35, 24.70
Answer
Like decimals, since these have the same number of digits after the decimal point.
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Question 221 Mark
Find the sum in the following:
$\underline{\ \ \ \ 113.285\\+\ \ \ \ 6.7\\+ \ \ \ \ 9.34\\+\ \ 30.08\ \ }$
Answer
$\underline{\ \ \ \ 113.285\\+\ \ \ \ 6.700\\+ \ \ \ \ 9.340\\+\ \ 30.080\ \ }\\=159.405$
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Question 241 Mark
Convert the following decimals into fractions in simplest form:
0.35
Answer
$=\frac{35}{100}$
$=\frac{\frac{35}{5}}{\frac{100}{5}}$
$=\frac{7}{20}$
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Question 251 Mark
Write the following as decimals:
$\frac{3}{2}$
Answer
Making the denominator 10, we have:
$=\frac{3\times5}{2\times5}$
$=\frac{15}{10}$
$=1.5$
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Question 261 Mark
Subtract:
$\underline{ \ \ 45.03\\\ \ 27.80\ }\\\underline{\ \ \ \ \ \ \ \ \ \ \ \ }$
Answer
$\underline{\ \ \ \ \ \ 45.03\\\ -27.80\ }\\\underline{=17.23\ \ \ }$
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Question 271 Mark
Write the following as decimals:
$\frac{2}{5}$
Answer
Making the denominator 10, we have:
$=\frac{2\times2}{5\times2}$
$=\frac{4}{10}$
$=0.4$
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Question 281 Mark
Write the following as decimals:
$200+70+9+\frac{5}{10}$
Answer
We have 2 hundreds, 7 tens, 9 ones and 5 tenths. Therefore, the decimal is 279.5
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Question 301 Mark
Express the following decimals as fractions in the lowest form:
20.375
Answer
$20.375=\frac{20375}{1000}=\frac{163}{8}$
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Question 311 Mark
Between which two whole numbers on the number line are the given numbers? Which one is nearer the number?
6.4
Answer
6.4 is between 6 and 7.
As 6.4 is 4 units from 6 and 6 units from 7, it is nearer to 6.
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Question 321 Mark
Write of the following as decimals:
$\frac{300}{1000}$
Answer
In its lowest form, the fraction is 310. We have 3 tenths. Therefore, the decimal is 0.3
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Question 331 Mark
Subtract:
$\underline{ \ \ 23.93\\\ \ 5.946\ }\\\underline{\ \ \ \ \ \ \ \ \ \ \ \ }$
Answer
$\underline{ \ \ \ \ \ 23.930\\\ \ -5.946\ }\\\underline{=17.984\ \ }$
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Question 341 Mark
Which is greater? Give reason for your answer?
1.431 or 1.439
Answer
1.431 < 1.439
The whole parts, the tenth parts and the hundredth parts are all equal. Comparing the thousandth parts, we have 1 < 9.
Therefore, $1+\frac{4}{10}+\frac{3}{100}+\frac{1}{1000}<1+\frac{1}{4}+\frac{3}{100}+\frac{9}{1000}$
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Question 351 Mark
Which of the following are like decimals:
45.05, 4.505, 20.55, 20.5
Answer
Unlike decimals, since these have different number of digits after the decimal point.
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Question 371 Mark
Find the sum in the following:
$\underline{\ \ \ \ 102. 36\\+\ \ \ \ 7.054\\+\ \ \ \ 0.8\ \ \ \ \ \ \ }$
Answer
$\underline{\ \ \ \ 102. 36\\+\ \ \ \ 7.054\\+\ \ \ \ 0.800\ \ }\\=110.214$
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Question 381 Mark
Write the following as decimals:
Nine and Seven hundred five thousandths.
Answer
$9+\frac{705}{1000}=9.705$
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Question 391 Mark
Between which two whole numbers on the number line are the given numbers? Which one is nearer the number?
0.8
Answer
0.8 is between the two whole numbers 0 and 1.
As 0.8 is 8 units from 0 and 2 units from 1, it is nearer to 1.
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Question 401 Mark
Fill in the blank by using > or < to complete the following:
25.35 ___ 8.47
Answer
25.35 > 8.47Solution:
Here, the whole part 23 > 8.
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Question 411 Mark
Express the following decimals as fractions in the lowest form:
0.60
Answer
$0.60=\frac{60}{100 }=\frac{3}{5}$
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Question 421 Mark
Express the following decimals as fractions in the lowest form:
15.004
Answer
$15.004=\frac{15004}{1000}=\frac{3751}{250}$
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Question 451 Mark
Express the following decimals as fractions in the lowest form:
0.5
Answer
$0.5=\frac{5}{10}=\frac{1}{2}$
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Question 471 Mark
Which is greater? Give reason for your answer?
1.431 or 1.439
Answer
1.431 < 1.439
The whole parts, the tenth parts and the hundredth parts are all equal. Comparing the thousandth parts, we have 1 < 9.
Therefore, $1+\frac{4}{10}+\frac{3}{100}+\frac{1}{1000}<1+\frac{1}{4}+\frac{3}{100}+\frac{9}{1000}$
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Question 491 Mark
Write of the following as decimals:
Eighty eight and forty eight-hundredths.
Answer
$88+\frac{48}{100}=88.48$
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Question 501 Mark
Which of the following statements are correct?
3.70 and 3.7 are like decimals.
Answer
Incorrect, since these two decimals have different numbers of digits after the decimal point.
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