Tag: rounding of decimals

Questions Related to rounding of decimals

Fill in the blanks.
(i) The number 825642 rounded off to nearest thousand is   P  .
(ii) Estimated product of 4023 and 198 is   Q  .
(iii) CXXXI is written in Hindu-Arabic numeral as    R   .
P   Q   R

  1. 820000 800000 131

  2. 826000 800000 131

  3. 826000 850000 135

  4. 825000 800000 135


Correct Option: B
Explanation:

(i) 825642 rounded off to nearest thousand = 826000
(ii) 4023 estimated to 4000
 198 estimated to 200.
$\therefore$ estimated product = $4000\times 200$ = 800000
(iii) C denoted for 100
     X denotes for 10  
      I denotes for 1
$\therefore$ CXXXI denotes 131

State 'T' for true and 'F' for false.
I. Rounding off $2560$ to the nearest thousand, we get $2000$.
II. Place value of $9$ in $974304200 $ is ninety crore.
Ill. $1$ lakh $= 1000$ thousand
IV. Roman numeral for the smallest four-digit number is $M$.
I  II  III  IV

  1. T F T F

  2. F F T T

  3. T T T T

  4. F T F T


Correct Option: D
Explanation:

I.Rounding off $2560$ to the nearest thousand, we get $3000$. 

So, I is false
II. Place value of $9$ in $90,00,00,000$. 

So, II is true
III. $1$ lakh $= 1,00,000 = 100 $ thousand
IV. Smallest four digit number $= 1000$
Roman Numeral is $M$.
So, it is true

Estimate the difference of $15875 $ and $7892$ by rounding off each number to nearest hundred.

  1. $7983$

  2. $8100$

  3. $7900$

  4. $8000$


Correct Option: D
Explanation:

$15875$ estimated to nearest hundred is $15900$
$7892 $ estimated to nearest hundred is $7900$
Thherefore, required difference is $15900-7900 =8000$.

What will be the rounded off sum of these figures, $2.303 + 6.66 $ to two decimal point?

  1. $8.969$

  2. $8.96$

  3. $8.9$

  4. $8.97$


Correct Option: B
Explanation:

$2.303+6.66=8.963$


It can rounded off and written as $8.96$ $.$

Mark the correct alternative of the following.
Total number of numbers which when rounded off to nearest ten give us $200$ is?

  1. $9$

  2. $10$

  3. $8$

  4. $7$


Correct Option: B
Explanation:

$195, 196, 197, 198, 199, 200, 201, 202, 203, 204$ are the numbers that when rounded off to nearest ten give us $200$.


Hence, total number of numbers which when rounded off to nearest ten give us $200$ is $10$.

Mark the correct alternative of the following.
The difference between the greatest and smallest numbers which when rounded off a number to the nearest tens as $540$, is?

  1. $10$

  2. $9$

  3. $8$

  4. $11$


Correct Option: B
Explanation:
We know that the greatest number that when rounded off to the nearest tens will become $540 = 544$

Least number that when rounded off to the nearest tens will become $540 = 535$

So, the difference between them $= 544 − 535 = 9$

Hence, the difference between the greatest and smallest numbers which when rounded off a number to the nearest tens as $540$ is $9$.

Mark the correct alternative of the following.
The smallest number which when rounded off to the nearest hundred as $600$, is?

  1. $550$

  2. $595$

  3. $604$

  4. $599$


Correct Option: A
Explanation:

The number from $550$ to $649$ are rounded off nearest hundred as $600$. Therefore, the smallest number is $550$.


Hence, the smallest number which when rounded off to the nearest hundred as $600$ is $550$.

Mark the correct alternative of the following.
The greatest number which when rounded off to the nearest thousand as $7000$, is?

  1. $6500$

  2. $6549$

  3. $7499$

  4. $6499$


Correct Option: C
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 $7499$.

Mark the correct alternative of the following.
The difference between the greatest and smallest numbers which when rounded off a number to the nearest hundred as $6700$, is?

  1. $100$

  2. $99$

  3. $98$

  4. $101$


Correct Option: B
Explanation:
We know that the greatest number that when rounded off to the nearest hundred will become$ 6,700 = 6749$

Least number that when rounded off to the nearest hundred will become $6,700 = 6650$

So, the difference between them $= 6,749 − 6,650 = 99$

Hence, the difference between the greatest and smallest numbers which when rounded off a number to the nearest hundred as $6700$ is $99$.

Mark the correct alternative of the following.
$2985$ is rounded off to the nearest hundred and the nearest tens. The difference between the two values is?

  1. $5$

  2. $100$

  3. $10$

  4. $150$


Correct Option: C
Explanation:
$2985$ estimated to the nearest hundred $= 3000$

$2985$ estimated to the nearest tens $=2990$

Now, the difference between the nearest hundred and nearest tens of $2985$ is:

$3000-2990=10$

Hence, the difference between the two values is $10$.