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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
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
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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1 Marks Question - MATHS STD 6 Questions - Vidyadip