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Maths 1 Mark Question

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

Questions · Page 2 of 3

1 Mark Question

Question 511 Mark
Which is greater? Give reason for your answer?
0.5 or 0.05
Answer
0.5 > 0.05
The whole parts are both 0. Comparing the tenth parts, we have 5 > 0.
Therefore, $\frac{5}{10}>\frac{0}{10}+\frac{5}{100}$
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Question 521 Mark
Which of the following are like decimals:
4.50, 16.80, 0.700, 7.08
Answer
Unlike decimals, since these have different number of digits after the decimal point.
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Question 531 Mark
Write the following as decimals:
$88+\frac{5}{10}+\frac{2}{1000}$
Answer
We have 8 tens, 8 ones, 5 tenths and 2 thousandths. Therefore, the decimal number is 88.502
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Question 541 Mark
Write of the following as decimals:
$\frac{7}{10}+\frac{6}{100}+\frac{4}{1000}$
Answer
Here, we have 7 tenths, 6 hundredths and 4 thousandths.
Therefore, the decimal is 0.764.
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Question 551 Mark
Fill in the blanks:
1m _____ km
Answer
1m 0.001 km
Solution:
$1\text{km}=1000\text{m}$
$\Rightarrow1\text{m}=\frac{1}{1000}\text{km}$
$\Rightarrow1\text{m}=0.001\text{km}$
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Question 561 Mark
Write of the following as decimals:
$20+9+\frac{4}{10}+\frac{1}{100}$
Answer
Here, we have 2 tens, 9 ones, 4 tenths and 1 hundredths.
Therefore, the decimal is 29.41.
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Question 571 Mark
Write the following as decimals:
$137+\frac{5}{100}$
Answer
We have 1 hundred, 3 tens, 7 ones and 5 hundredths. Therefore, the decimal is 137.05
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Question 601 Mark
Add the following:
18.03, 146.3, 0.829 and 5.324
Answer
$\underline{\ \ \ \ \ \ 18.030\\+ 142.300\\+\ \ \ \ 0.829\\+\ \ \ \ 5.324\ \ }\\=170.483$
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Question 611 Mark
Fill in the blanks:
7kg, 15g = _____ kg.
Answer
7kg, 15g = 7.015 kg.
Solution:
$7\text{kg},15\text{g}=7\text{kg}+\frac{15}{1000}\text{kg}$
$=7\text{kg}+0.015\text{kg}$
$=7.015\text{kg}$
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Question 621 Mark
Write the following as decimals:
$\frac{22}{10}$
Answer
Since the denominator is ten, the deciamal is 2.2
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Question 631 Mark
Fill in the blank by using > or < to complete the following:
20.695 ___ 20.93
Answer
20.695 < 20.93Solution:
Here, the whole parts are equal. Hence, we should check the tenth parts. Now, 9 is greater than 6. Therefore, $20+\frac{6}{10}+\frac{9}{100}+\frac{5}{1000}<20+\frac{9}{10}+\frac{3}{100}$
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Question 641 Mark
Which of the following statements are correct?
5.60, 3.04, 0.45 are like decimals.
Answer
Correct, since these three decimals have the same number of digits after the decimal point.
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Question 661 Mark
Write the following as decimals:
$7\frac{1}{8}$
Answer
$7\frac{1}{8}=7+\frac{1}{8}$
$7+\frac{1\times125}{8\times125}$
$=7+\frac{125}{1000}$
$=7.125$
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Question 671 Mark
Between which two whole numbers on the number line are the given numbers? Which one is nearer the number?
5.1
Answer
5.1 is between the two whole number 5 and 6.
As 5.1 is 1 unit from 5 and 9 units from 6, it is nearer to 5.
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Question 681 Mark
Express the following decimals as fractions in the lowest form:
0.18
Answer
$0.18=\frac{18}{100}=\frac{9}{50}$
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Question 691 Mark
Express the following decimals as fractions in the lowest form:
59.48
Answer
$59.48=\frac{5948}{100}=\frac{1487}{25}$
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Question 701 Mark
Write the following as decimals:
$\frac{3}{10}+\frac{7}{1000}$
Answer
We have 3 tenths, 5 ones and 7 hundredths. Therefore, the decimal number is 0.307
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Question 711 Mark
Between which two whole numbers on the number line are the given numbers? Which one is nearer the number?
4.9
Answer
4.9 is between 4 and 5.
As 4.9 is 9 units from 4 and 1 unit from 5, it is nearer to 5.
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Question 731 Mark
Write the following as decimals:
$700+5+\frac{7}{10}$
Answer
We have 7 hundreds, 5 ones and 7 tenths. Therefore the decimal is 705.7
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Question 741 Mark
Write of the following as decimals:
$\frac{8}{100}$
Answer
We have 8 hundredths. Therefore, the decimal is 0.08
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Question 751 Mark
Between which two whole numbers on the number line are the given numbers? Which one is nearer the number?
9.0
Answer
9.0 is itself a whole number, that is, 9.
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Question 761 Mark
Write of the following as decimals:
Five hundred twenty five and forty hundredths.
Answer
$525+\frac{40}{100}=525.40$
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Question 771 Mark
Write the following as decimals:
$30+6+\frac{2}{10}$
Answer
We have 3 tens, 6 ones and 2 tenths. Therefore, the decimal is 36.2
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Question 781 Mark
Which is greater? Give reason for your answer?
1.5 or 1.50
Answer
1.5 = 1.50
The whole parts and the tenth parts are both equal.
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Question 791 Mark
Which is greater? Give reason for your answer?3.3 or 3.300
Answer
3.3 = 3.300
The whole parts and the tenth parts are both equal.
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Question 801 Mark
Write of the following as decimals:
One hundred, two ones and three tenths.
Answer
$100+2+\frac{3}{10}=102.3$
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Question 831 Mark
Which is greater? Give reason for your answer?
1.008 or 1.800
Answer
1.008 < 1.800
The whole parts are equal, and comparing the tenth parts, we have 0 < 8.
Therefore, $1+\frac{0}{10}+\frac{8}{1000}<1+\frac{8}{10}$
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Question 841 Mark
Write the following as decimals:
$45+\frac{9}{100}$
Answer
We have 4 tens, 5 ones and 9 hundredths. Therefore, the decimal number is 45.09
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Question 861 Mark
Write the following as decimals:
$100+60+5+\frac{1}{10}$
Answer
We have 2 hundreds, 6 tens, 5 ones and 1 tenths. Therefore the decimal is 265.1
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Question 881 Mark
Fill in the blank by using > or < to complete the following:
0.236 ___ 0.201
Answer
0.236 > 0.201Solution:
Here, the whole parts are 0. Hence, we should check the tenth parts in the two numbers, which are again equal. So, we should now check the hundredth digit, 3 > 0. Therefore, $\frac{2}{10}+\frac{3}{100}+\frac{6}{1000}>\frac{2}{10}+\frac{0}{100}+\frac{1}{1000}$
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Question 891 Mark
Find the sum in the following:
$\underline{\ \ \ \ 18.003\\+ 41.7\\+ 10.95\\+\ \ 5.057\ \ }$
Answer
$\underline{\ \ \ \ 18.0030\\+ 41.7000\\+ 10.9500\\+\ \ 5.0570\ \ }\\=75.7100$
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Question 921 Mark
Write the following as decimals:
$65+\frac{2}{10}+\frac{7}{100}$
Answer
We have 6 tens, 5 ones and 7 hundredths. Therefore, the decimal number is 65.27.
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Question 941 Mark
Find the sum in the following:
$\underline{\ \ \ \ \ \ \ \ 3.42\\+ 264.08\\+ \ \ \ \ 7.6\\+\ \ 95.321\ \ }$
Answer
$\underline{\ \ \ \ \ \ \ \ 3.420\\+ 264.080\\+ \ \ \ \ 7.600\\+\ \ 95.321\ \ }\\=370.421$
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Question 951 Mark
Write the following as decimals:
$5\frac{1}{20}$
Answer
$5\frac{1}{20}=5+\frac{1}{20}$
$=5+\frac{1\times5}{20\times5}$
$=5+\frac{5}{100}$
$=5.05$
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Question 961 Mark
Fill in the blank by using > or < to complete the following:
0.93 ___ 0.99
Answer
0.93 < 0.99Solution:
Here, the whole parts are 0. Hence, we should check the tenth parts, which are again equal. So, we should now check the hundredth digit, 3 < 9. Therefore, $\frac{9}{10}+\frac{3}{100}<\frac{9}{10}+\frac{9}{100}$
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Question 971 Mark
Find the sum in the following:
0.007 + 8.5 + 30.08
Answer
$\underline{\ \ \ \ \ \ 0.007\\+\ \ 8.500\\+30.080\ \ }\\=38.587$
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Question 991 Mark
Fill in the blank by using > or < to complete the following:
0.109 ___ 0.83
Answer
0.109 < 0.83Solution:
Here, the whole parts are 0. Hence, we should check the tenth parts. Now, 1 < 8. Therefore, $\frac{1}{10}+\frac{9}{100}<\frac{8}{10}+\frac{3}{100}$
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Question 1001 Mark
Write of the following as decimals:
$23+\frac{2}{10}+\frac{6}{1000}$
Answer
Here, we have 2 tens, 3 ones, 2 tenths and 6 thousandths.
Therefore, the decimal is 23.206.
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