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CBSE Questions for Class 6 Maths Decimals Quiz 2 - MCQExams.com
CBSE
Class 6 Maths
Decimals
Quiz 2
State whether the following statements is true (T) or false (F):
Every decimal number can be represented by a point on a number line.
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0%
True
0%
False
Explanation
The given statement is true.
Every decimal number can be represented by a point on a number line.
Expanded form of 78.059 is
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$$78+\dfrac {5}{10}+\dfrac {9}{100}$$
0%
$$70+8+0+\dfrac {5}{100}+\dfrac {9}{1000}$$
0%
$$70+8+\dfrac {5}{10}+\dfrac {9}{100}$$
0%
none of these
Explanation
The number system has places. We all know the ones tens hundredths places.
After decimal the first decimal digit from the decimal point is the tenth, the second decimal digit from the decimal point is the hundredth and the third decimal digit from the decimal point is the thousandths digit.
Read the whole set of three decimal digits as a number, and say, "tenths", "hundredths" and “thousandths.” 78.059 has 0 tenths, 5 hundredths, and 9 thousandths.
While 78.059 is the sum of $$70+8+\dfrac{0}{10} +\dfrac{5}{100} + \dfrac{9}{1000} $$.
So option B is the correct answer.
Fraction for 0.04 is:
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$$\dfrac {4}{10}$$
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$$\dfrac {4}{100}$$
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$$\dfrac {04}{10}$$
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$$\dfrac {4}{1000}$$
Explanation
Given: $$0.04$$ $$=\dfrac{0.04}{1}$$
Here, we have two numbers after the decimal point. So, we multiply both the numerator and the denominator by $$100.$$
$$=\dfrac{0.04\times 100}{1\times 100}$$
$$=\dfrac{4}{100}$$
$$\therefore$$ Fraction for $$0.04$$ is $$\dfrac{4}{100}$$
Evaluate:
$$\displaystyle 25+\frac{3}{100}+\frac{4}{1000}=$$ _________
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0%
25.34
0%
25.304
0%
25.034
0%
25.0034
Explanation
$$5 + \dfrac { 3}{100} + \dfrac{4}{1000}$$
$$= 25 + 0.03 + 0.004$$
$$=25.034$$
Which fraction is equal to 4.4?
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$$\displaystyle{\frac{4}{10}}$$
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$$\displaystyle{\frac{44}{10}}$$
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$$\displaystyle{\frac{4}{100}}$$
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$$\displaystyle{\frac{44}{100}}$$
Explanation
Given: $$4.4$$
$$\Rightarrow \dfrac{4.4\times 10}{10}$$ {Dividing and multiplying by 10}
$$\Rightarrow \dfrac{44}{10}$$
So option B is the correct answer.
Convert $$4\ m\ 45\ cm$$ into meters.
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0%
$$4.45\ m$$
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$$4450\ cm$$
0%
$$4.45\ cm$$
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$$4045\ cm$$
Explanation
We know that,
$$1$$ $$cm =0.01$$ $$meters$$
To convert $$4$$ $$m$$ $$45$$ $$cm$$ to $$meters$$
Now, $$45$$
$$cm = 0.01 \times 45$$ $$m$$
$$= 0.45$$ $$meter$$
$$4$$ $$m$$ $$45$$ $$cm$$ $$ = 4m + 0.45m$$
$$ = 4.45m$$
So, Option $$A$$ is correct
$$2.75 + 0.003 + 0.158 =$$
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$$4.36$$
0%
$$2.911$$
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$$0.436$$
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$$2.938$$
Explanation
$$2.75=0.003+0.158=$$
Write all decimal numbers in correct order in such a way that the numbers come in correct row.
$$2.750$$
$$0.003$$
$$0.158$$
_________
$$2.911$$
_________
IV III II I
I$$\rightarrow 8+3+0=11$$ $$\{1$$ balance$$\}$$
II$$\rightarrow 1+5+0+5=11$$ $$\{1$$ balance$$\}$$
III$$\rightarrow 1+7+0+1=9$$
IV$$\rightarrow 2+0+0=2$$.
The alphabet which represent $$ -0.5$$ is
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$$A$$
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$$B$$
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$$C$$
0%
none
Explanation
According to the number line,
$$-0.5$$ is represented by $$A$$.
Hence, this is the answer.
Express centimeters into meters.
$$1458 \ cm$$
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$$14.58$$m
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$$1.458$$m
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$$1458$$m
0%
$$0.1458$$m
Explanation
$$1$$m $$= 100$$cm
$$\Rightarrow 1$$cm $$= 0.01$$m
$$1458$$cm $$= 14.58$$m
Rs. $$47$$ and paise $$50$$ can be represented as
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Rs. $$47.50$$
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Rs. $$4.50$$
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Rs. $$4750$$
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Rs. $$475.0$$
Explanation
1 paisa $$= 0.01$$ Rs
$$\Rightarrow$$ 50 paise $$= 0.50$$ Rs
Rs.$$47$$ and $$50$$ paise can hence be written as Rs. $$47.50$$
Convert the following into metres:
$$1436\ cm$$
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$$1.436\ m$$
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$$14.36\ m$$
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$$143.6\ m$$
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$$1436\ m$$
Explanation
We know that
$$1$$ $$meter =100$$ $$cm$$
$$1$$ $$cm =\dfrac1{100}$$ $$m$$
Given That , we have to convert $$1436$$ $$cm$$ into $$m$$
$$1436$$ $$cm =\dfrac{1}{100} \times 1436$$ $$m$$
$$=14.36$$ $$m$$
So, Option $$B $$ is correct
$$247 + 2.047 + 0.247 + 2.0047 =$$?
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$$267.2963$$
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$$262.965$$
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$$229.6357$$
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None of these
Co-ordinate of Q is
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$$0.8$$
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$$1.8$$
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$$0.2$$
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$$0.9$$
Explanation
$$\textbf{Step 1: Using number line}$$
$$\text{It can be seen that between two whole numbers there are 10 divisions}$$
$$\Rightarrow \text{1 division}=\dfrac1{10}$$
$$\text{It can be seen that Q is after 8 divisions after 1}$$
$$\Rightarrow \text{Coordinate of Q}=1+8\times\dfrac1{10}=1.8$$
$$\textbf{Hence , the coordinate of the point Q is }\mathbf{1.8}$$ $$\textbf{Option B is correct.}$$
Express the following in kilograms:
$$44kg$$ $$80gm$$ =
$$44.08kg$$
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0%
True
0%
False
Explanation
To convert grams into kilograms we divide the given value by 1,000. A kilogram is one thousand grams.
$$80$$ grams= $$\dfrac{80}{1000}$$ kilograms
So $$80$$ grams = $$0.08$$ kilograms.
$$44$$ kg $$80$$ grams = $$44+0.080$$ kilograms
$$44$$ kg $$80$$ grams=$$ 44.08$$ kilograms.
So option A is the correct answer.
Represent $$1.2380, 1.2379, 2.3567, 1.2375$$ on a number line and state which is smallest.
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$$1.2380$$
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$$1.2379$$
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$$2.3567$$
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$$1.2375$$
Explanation
Smallest number is $$1.2375$$
So, option D is correct.
Represent $$1.2380, 1.2379, 1.3567, 1.2375$$ on a number line and state which is greatest.
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$$1.2380$$
0%
$$1.2379$$
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$$1.3567$$
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$$1.2375$$
Explanation
Greatest number is $$1.3567$$
So, option C is correct.
$$ \dfrac{7}{100}$$ is equal to:
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$$0.07$$
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$$0.7$$
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$$0.0070$$
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$$0.0007$$
Explanation
$$ \dfrac{7}{100} = 0.07$$
Which decimal number does the arrow represent?
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$$6.380$$
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$$6.378$$
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$$6.375$$
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$$6.374$$
Explanation
Let the point $$6.37$$ is marked as $$A$$ and $$6.38$$ is marked as $$B$$
Length $$AB=6.38-6.37=.01$$
Number of units between $$A$$ and $$B$$ $$=10$$
Length of each unit $$=\dfrac{.01}{10}=.001$$
Given point is $$8$$ units forward from $$6.37$$
So, the location of given point $$=6.37+.001\times8=6.378$$.
Hence, option B is correct.
Co-ordinate of $$P$$ is :
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$$2.1$$
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$$2.2$$
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$$2.3$$
0%
$$2.4$$
Explanation
$$\textbf{Step 1: Using number line}$$
$$\text{It can be seen that between two whole numbers there are 5 divisions}$$
$$\Rightarrow \text{1 division}=\dfrac15$$
$$\text{It can be seen that P is after 1 division after 2}$$
$$\Rightarrow \text{Coordinate of P}=2+1\times\dfrac15=2.2$$
$$\textbf{Hence , the coordinate of the point P is }\mathbf{2.2}$$ $$\textbf{Option B is correct.}$$
Simplify:
$$417.25 - 41.72 - 4.53 =$$ ?
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0%
$$380.06$$
0%
$$371$$
0%
$$348$$
0%
$$315$$
0%
None of these
Explanation
$$417.25 - 41.72 - 4.53$$
$$=371$$.
Hence the correct answer is option B
State true/false:
$$235$$ paise is equal to
Rs.$$2.35$$.
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0%
True
0%
False
Explanation
As we know,
$$1 Rs = 100$$ paisa
Given, $$235$$ paisa
So, $$235 paisa = \dfrac{235}{100}$$ Rs
$$= 2.35 Rs$$
State true/false:
$$55.5$$ is equal to
$$50+5+\cfrac { 5 }{ 10 } $$
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0%
True
0%
False
Explanation
We can write $$55.5$$ as $$50 + 5 +0.5$$
$$= 50 + 5 +$$ $$\dfrac{5}{10}$$
State true or false:
$$190$$ $$g$$ =
$$0.19$$ $$kg$$
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0%
True
0%
False
Explanation
To convert grams into kilograms, we div
ide by 1,000. A kilogram is equal to one thousand grams.
So $$190$$ grams = $$\dfrac{190}{1000} $$ kilograms
$$190$$ grams = $$0.19$$ kilograms.
So option A is the correct answer.
Convert $$2.387$$ kg into grams.
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$$2.387$$ g
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$$23.87$$ g
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$$238.7$$ g
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$$2387$$ g
Explanation
$$1\ \ kg=1000\ \ g\\ 2.387\ \ kg=2.387\times 1000=2387\ \ g$$
So option $$D$$ is correct
Fill in the banks:
$$88 cm = $$ _____ $$ meter $$
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$$0.88$$
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$$0.66$$
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$$0.55$$
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$$0.99$$
Explanation
$$1$$ meter $$= 100$$ cm
So, $$88 \, cm =$$ $$\dfrac{88}{100} \, meter$$
$$= 0.88$$ meter
$$5.8377\ kg=$$ _______ $$g$$
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$$5837.7\ g$$
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$$583.77\ g$$
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$$58.377\ g$$
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$$58377\ g$$
Explanation
$$1\ \ kg=1000\ \ g$$
$$5.8377\ \ kg=5.8377\times1000=5837.7 \ \ g$$
So option $$A$$ is correct.
State true/false:
$$30.303$$ is equal to
$$30+\cfrac { 3 }{ 10 } +\cfrac { 3 }{ 1000 } $$
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0%
True
0%
False
Explanation
$$30.303 = 30 + 0.3 + 0.003$$
$$= 30 + $$$$\dfrac{3}{10} + \dfrac{3}{1000}$$
So, given statement is true
Fill in the banks:
$$7\, kg\, 250\, grams$$ = ______ $$kg$$
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$$7.250$$
0%
$$7.75$$
0%
$$7$$
0%
$$7.35$$
Explanation
$$1$$ kg $$= 1000$$ gm
So, $$7$$ kg $$250$$ gm = $$7$$ kg $$+ 250$$ gm
$$= 7$$ kg + $$\dfrac{250}{1000}$$ kg
$$= 7$$ kg $$+ 0.250$$ kg
$$= 7.250$$ kg
State true or false:
$$303.03$$ is equal to
$$300+3+\cfrac { 3 }{ 10 } $$
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0%
True
0%
False
Explanation
The correct expanded form of the decimal number $$303.03$$ will be,
$$303.03 = 300 + 3 + 0.03$$
$$= 300 + 3 +$$ $$\dfrac{3}{100}$$
Hence, the given statement is false.
Convert $$0.05$$ kg into grams.
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$$0.5\ g$$
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$$5\ g$$
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$$50\ g$$
0%
$$500\ g$$
Explanation
$$1\ \ kg=1000\ \ g$$
$$0.05\ \ kg =0.05\times1000=50\ \ g$$
So option $$B$$ is correct.
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