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CBSE Questions for Class 6 Maths Knowing Our Numbers Quiz 7 - MCQExams.com
CBSE
Class 6 Maths
Knowing Our Numbers
Quiz 7
Estimate the sum $$579+7994$$ by estimating the numbers to its nearest hundreds.
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$$8600$$
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$$8573$$
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$$7500$$
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$$1200$$
Explanation
$$\Rightarrow$$ $$579+7994=8573$$
$$\Rightarrow$$ In number $$8573$$, its tens digit is 7, which is greater than 5.
$$\Rightarrow$$ So, we increase the digits at hundreds place by 1 and replace each one of the digits at tens and ones place by 0 to round off the given number to nearest to 100.
$$\therefore$$ The number nearest to 100 is $$8600.$$
Roman number of $$2050$$ is?
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CX
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LXI
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MML
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XXII
Explanation
Conversion to Roman
Iteration
Decimal
number
Highest decimal
value
Highest roman
numeral
Temporary
result
$$1$$
$$2050$$
$$1000$$
$$M$$
$$M$$
$$2$$
$$1050$$
$$1000$$
$$M$$
$$MM$$
$$3$$
$$50$$
$$50$$
$$L$$
$$MML$$
So $$2050$$ in Roman is $$MML$$
The correct expanded form for $$2.06$$ is _______ .
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$$\left( 2\times 10 \right) +\left( 6\times \cfrac { 1 }{ 10 } \right) $$
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$$\left( 2\times 1 \right) +\left( 6\times \cfrac { 1 }{ 10 } \right) $$
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$$\left( 2\times 1 \right) +\left( 6\times \cfrac { 1 }{ 100 } \right) $$
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$$\left( 2\times 1 \right) +\left( 6+\cfrac { 1 }{ 10 } \right) $$
Explanation
The number given is $$2.06$$.
We observe that the whole number part of the above number is $$2$$ which essentially is $$2 \times 1$$
The decimal part of the above number is $$.06$$ which is $$6 \times \dfrac{1}{100}$$
Thus, $$2.06 = (2 \times 1) + (6 \times \dfrac{1}{100})$$
Roman numeral for $$498$$ is ______.
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$$CDCXVIII$$
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$$CDCXIV$$
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$$CDXCVIII$$
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$$CDXCVII$$
Hindu-Arabic numeral for $$CCXLVII$$, is ________.
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$$347$$
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$$247$$
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$$267$$
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$$367$$
Explanation
We are given $$CCXLVII$$
We know,
$$C$$ stands for $$100$$
$$L$$ stands for $$50$$ $$\Longrightarrow$$ $$XL$$ stands for $$40$$
$$VII$$ stands for $$7$$
Thus we have,
$$100 + 100 + 40 + 7 = 247$$
Using all the given digits, form the greatest possible $$7-digit$$ even number, if repetition of digits is allowed.
$$9\ 3\ 0\ 8$$
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$$9830000$$
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$$9998830$$
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$$9988330$$
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$$9999830$$
How many meters are there in $$1.25$$ kilometers?
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$$10.25$$ m
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$$125$$ m
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$$1250$$ m
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$$12500$$ m
Explanation
We know that $$1km=1000m$$
Suppose $$1.25km = x$$
$$\Rightarrow x={1.25}\times 1000$$
$$\Rightarrow x=1250$$ m
Hence, the answer is $$1250$$ m.
The largest four digit and smallest four digit numbers using the digits $$4, 0, 3, 7$$ is _________.
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$$4370, 4307$$
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$$3740, 3047$$
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$$7403, 3704$$
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$$7430, 3047$$
Ms. Ben wrote four numbers on the board and asked the student to relate them according to the last lesson taught on number system. Which of the following number she wrote is different from others?
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10
hundred
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100
hundred
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1000 hundred
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100000 lakh
Rewrite each of the following numerals using periods and places in the international place value chart.
$$183497026$$,
$$700083460$$,
$$810000008$$
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$$(18,34,97,026)$$,
$$(70,00,83,460)$$,
$$(81,00,00,008)$$
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$$(183,497,026)$$,
$$(700,083,460)$$,
$$(810,000,008)$$
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$$(1834,970,26)$$,
$$(7000,834,60)$$,
$$(8100,000,08)$$
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None of these
Mark the correct alternative of the following.
The difference between the greatest and the smallest numbers which when rounded off to the nearest thousand as $$9000$$ is?
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$$1000$$
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$$990$$
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$$999$$
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$$900$$
Explanation
We know that the greatest number that when rounded off to the nearest thousand becomes $$9,000 = 9499$$
Smallest number that when rounded off to the nearest thousand becomes $$9,000 = 8500$$
So, the difference between them $$= 9,499 − 8,500 = 999$$
Hence, the difference between the greatest and the smallest numbers which when rounded off to the nearest thousand as $$9000$$ is $$999$$.
Mark the correct alternative of the following.
$$1827$$ when rounded off to be nearest hundred is?
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$$1900$$
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$$1820$$
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$$1850$$
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$$1800$$
Explanation
Rounding a number to the nearest hundred, we use the following rules:
A) We round the number up to the nearest hundred if the last two digits in the number are $$50$$ or above.
B) We round the number down to the nearest hundred if the last two digits in the number are $$49$$ or below.
C) If the last two digits are $$00$$, then we do not have to do any rounding, because it is already to the hundred.
Now, we are given a number $$1827$$ whose hundred place is $$27$$ which is below $$50$$, therefore, the nearest hundred to $$1827$$ is $$1800$$.
Hence, the nearest hundred of
$$1827$$ when rounded off is $$1800$$.
Mark the correct alternative of the following.
The greatest number which when rounded off to the nearest thousand as $$7000$$, is?
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$$6500$$
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$$6549$$
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$$7499$$
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$$6499$$
Explanation
Numbers from $$6500$$ to $$7499$$ are rounded off to nearest thousand as $$7000$$.
Therefore, the greatest number is $$7499$$.
Hence, the
greatest number which when rounded off to the nearest thousand as $$7000$$ is $$7499$$.
By converting the $$5.6\ m^2$$ into the $$cm^2$$, the answer will be
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$$0.0056\ cm^2$$
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$$5600\ cm^2$$
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$$56000\ cm^2$$
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$$560\ cm^2$$
Explanation
As we know that,
$$1\ m = 100\ cm$$
So,
$$1\ m\times 1\ m=100\ cm\times 100\ cm$$
$$\Rightarrow 1\ m^2 = 10000\ cm^2$$
By using the above conversion,
$$5.6\ m^2 = 5.6\times 10000\ cm^2$$
$$=56000\ cm^2$$
Hence, option $$C$$ is correct.
How many thousands make a lakh?
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10
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100
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1000
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10000
Explanation
$$1$$ lakh means $$1,00,000$$ which is equal to one hundred thousand
Therefore $$1,00,000 = (100 \times 1000)$$
Hence one hundred thousands make a lakh.
State whether the following statements are true (T) or false (F):
The estimated value of $$9999$$ to the nearest tens is $$10000.$$
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True
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False
Explanation
The estimated value of $$9999$$ to the nearest tens is $$10000.$$ True
State whether the following statements is true (T) or false (F):
In the International system, a number having less number of digits is always smaller than the number having more number of digits.
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True
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False
Explanation
In the International system, a number having less number of digits is always smaller than the number having more number of digits.
Hence, true.
The smallest natural number which when rounded off to the nearest hundreds as $$500$$ is
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$$499$$
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$$501$$
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$$450$$
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$$549$$
Explanation
The smallest natural number which when rounded off to the nearest hundreds as $$500$$ is $$450.$$
This is so because the digit at tens place is 5, which is equal to 5.
The greatest natural number which when rounded off to the nearest hundreds as $$500$$ is
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$$549$$
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$$599$$
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$$450$$
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None of these
Explanation
The greatest natural number which when rounded off to the nearest hundreds as $$500$$ is $$549.$$
This is so because the digit at tens place is $$4,$$ which is less than $$5.$$
State true or false:
$$XXIX=31$$
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True
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False
Explanation
The roman numeral, XXIX can be written as
XXIX = X + X + IX $$= 10 + 10 + 9$$
$$= 29$$
So the given roman numeral is a representation of $$29$$, not $$31$$
$$\therefore$$ $$\textbf{The given statement is false}$$.
The number $$LIV$$ is greater than $$LVI$$.
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True
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False
Explanation
The given statement is false.
Since,
$$(L+IV)$$ Is equivalent to $$(50+14)$$
$$(L+VI)$$ Is equivalent to $$(50+16)$$
$$\Rightarrow LIV=54$$ and $$LVI=56$$
$$\therefore LVI$$ is greater than $$LIV$$
If $$1$$ is added to the greatest $$7$$-digit number, it will be equal to
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$$10$$ thousands
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$$1$$ lakh
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$$10$$ lakh
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$$1$$ crore
Explanation
Greatest $$7$$ - digit number $$= 99,99,999$$
Adding $$1$$ to this $$7$$- digit number, we get
$$99,99,999 + 1$$
$$= 1,00,00,000$$
We know that $$1,00,00,000$$ is read as $$1$$ Crore
$$\therefore$$ $$\textbf{Correct Option is D}$$
The numbers $$4578, 4587, 5478$$ and $$5487$$ are in descending order.
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True
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False
Explanation
In the descending order, we write numbers from greatest to smallest.
The given numbers $$4578, 4587, 5478, 5487$$ are written from smallest to greatest.
Therefore, they are not in descending order.
$$\therefore$$ $$\textbf{The given statement is false}$$.
$$LXXIV=74$$
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True
0%
False
Explanation
The roman numeral, LXXIV can be written as
LXXIV = L + X + X + IV
= $$50 + 10 + 10 + 4$$
= $$74$$
$$\therefore$$ T
he given roman numeral is a representation of $$74$$.
$$\therefore$$ $$\textbf{The given statement is true}$$.
Estimated sum of $$7826$$ and $$12469$$ rounded off to hundreds is $$20,000$$.
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True
0%
False
Explanation
$$\textbf{Step 1: Round off 7826 and 12469 to nearest hundreds}$$
In the number $$7826, 8$$ is present at the hundred's place.
Moving to the next smallest place, which is ten's place, we have $$2$$ which is less than $$5$$.
So retain the digit at hundred's place and write $$0$$ in tens and ones place.
$$\therefore$$
$$\textbf{7826 rounded off to nearest hundreds =7800}$$
In the number $$12469, 4$$ is present at the hundred's place.
Moving to the next smallest place, which is ten's place, we have $$6$$ which is greater than $$5$$.
So we add $$1$$ to the digit at hundreds place and write $$0$$ in tens and ones place.
So Digit at hundreds place $$= 4 + 1 = 5$$
$$\therefore$$ $$\textbf{12469 rounded off to nearest hundreds = 12500}$$
$$\textbf{Step 2: Find the sum of rounded off numbers.}$$
Estimation of the sum to nearest hundreds
$$ = 7800 + 12500$$
$$= 20,300$$
$$\therefore$$
Estimated sum of $$7826$$ and $$12469$$ rounded off to hundreds is $$20,300$$ not $$20,000$$
$$\therefore$$ $$\textbf{The given statement is false}$$
The number $$85764$$ rounded off to nearest hundreds is written as $$85700$$.
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True
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False
Explanation
In the number $$85764, 7$$ is present at the hundred's place
Moving to the next smallest place, which is tens place, we have $$6$$ which is greater than $$5$$.
So we add $$1$$ to the digit at hundred's place and write $$0$$ in ten's and one's place.
So, Digit at hundreds place $$= 7 + 1 = 8$$
$$\therefore$$
$$85764$$ rounded off to nearest hundreds is $$85800$$ not $$85700.$$
$$\therefore$$ $$\textbf{The given statement is false}$$
Of the given two natural numbers, the one having more digits is greater.
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True
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False
Explanation
$$\textbf{Reason:}$$
Let's compare $$99$$ to $$302$$, since $$302$$ is having more digits than $$99$$,
clearly $$302 > 99$$.
Also more digits means bigger place value so the number will be bigger.
$$\therefore\ \textbf{The given statement is True}.$$
Among kilo, milli and centi, the smallest is centi.
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True
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False
Explanation
$$\textbf{Reason:}$$
We know that,
$$1$$ $$\textbf{kilo}$$metre $$= 1000$$ metres
$$1$$ metre $$= 100$$ $$\textbf{centimeters}$$
$$1$$ $$\textbf{centi}$$metre $$= 10$$ $$\textbf{milli}$$metres
Clearly, the descending order can be arranged as $$\textbf{kilo > metre > centi > milli.}$$
Therefore,
$$\textbf{milli}$$
is the smallest and not
$$\textbf{centi} $$.
$$\therefore\ \textbf{The given statement is False}.$$
In Indian System of numeration, the number $$58695376$$ is written as
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$$58,69,53,76$$
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$$58,695,376$$
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$$5,86,95,376$$
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$$586,95,376$$
Explanation
In the Indian system of Numeration the first comma is placed after three digits from right and the following commas are placed after every two digits.
$$\therefore$$ In the Indian System of numeration, the number $$58695376$$ is written as $$5,86,95,376$$
$$\therefore$$ $$\textbf{Option C is correct.}$$
Choose the correct representation for the following given information:
Diya purchased four blue pens and seven black pens. If one blue pen costs $$Rs.$$ $$9$$ and one black pen costs $$Rs.$$ $$12$$, then how much she has to pay?
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$$(9\times4 + 7)\times 12$$
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$$9\times(4 + 7\times 12)$$
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$$9\times4+ 7\times 12$$
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$$(4\times9) + (7\times 12)$$
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