Tag: estimations, bounds and rounding off

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Questions Related to estimations, bounds and rounding off

Multiple choice maths mental arithmetic estimation and rounding off estimations, bounds and rounding off rounding off numbers rounding of decimals

Round off to nearest lakhs: The given number is $38,65,62,048$

  1. $38,68,60,000$
  2. $38,65,600$
  3. $38,65,00,000$
  4. $38,66,00,000$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To round of the given no in nearest lakh we need to see the value at ten thousand place which is $6$ it is more than $5$. 

So we round off lakhs digit to $5+1=6$
So we will round off. $38,65,62,048$ will become $38,66,00,000$

Multiple choice maths mental arithmetic estimation and rounding off estimations, bounds and rounding off rounding off numbers rounding of decimals

Round off  $231$ to nearest $100.$

  1. $200$
  2. $300$
  3. $250$
  4. $350$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$\Rightarrow$  In number $231$,tens digit is $3$ 

$\Rightarrow$  Its tens digit is 3, which is less than 5. So, we replace each of the tens and ones digits by $0$ and keep the other digits as they are to round off the given number to nearest hundreds.
$\therefore$  Round of 231 to nearest 100 is $200$.

Multiple choice maths mental arithmetic estimation and rounding off estimations, bounds and rounding off rounding off numbers rounding of decimals

Round off $829$ to nearest $100$. 

  1. $800$
  2. $700$
  3. $900$
  4. $850$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$\Rightarrow$  The given number is $829$

$\Rightarrow$  Its tens digit is $2$, which is less than $5$. 
$\Rightarrow$  So, we replace each of the tens and ones digits by $0$ and keep the other digits as they are to round off the given number to nearest $100.$
$\therefore$  Round off $829$ to nearest $100$ is $800$.

Multiple choice maths mental arithmetic estimation and rounding off estimations, bounds and rounding off rounding off numbers rounding of decimals

Round off the following number to the nearest $10$ and $100$:
$1634$

  1. $1630,1600$
  2. $1640,1730$
  3. $1740,1700$
  4. $1640,1734$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
$1634=163.4 \times  10^1$

Rounding to nearest 10, we round off $163.4$ to $163.0$ as $4$ is less than $5$

Answer: $1630$

Similarly for 100 th position 
$1634 = 16.34\times 20^2$

$16.34 = 16.30 = 16.00$

So the answer is $1600$.
Multiple choice maths mental arithmetic estimation and rounding off estimations, bounds and rounding off rounding off numbers rounding of decimals

Round-off $76,890$ to nearest $10$.

  1. $76,890$
  2. $76,880$
  3. $76,900$
  4. $77,000$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$\Rightarrow$   The given number is $76,890$.

$\Rightarrow$   In number 76890, its unit digit is $0$, which is already nearest to 10.
$\Rightarrow$  So, don't need to change anything.
$\therefore$   $76,890$ is nearest to 10.

Multiple choice maths mental arithmetic estimation and rounding off estimations, bounds and rounding off rounding off numbers rounding of decimals

Round-off $4353$ to nearest $100$.

  1. $4353$
  2. $4350$
  3. $4360$
  4. $4400$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\Rightarrow$  The given number is $4353$

$\Rightarrow$  In number 4353, its tens digit is 5, which is equal to 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 becomes $4400$

Multiple choice maths mental arithmetic estimation and rounding off estimations, bounds and rounding off rounding off numbers rounding of decimals

Round-off $52,398$ to nearest $1000$.

  1. $52,390$
  2. $52,400$
  3. $52,000$
  4. $53,000$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$\Rightarrow$  The given number is $52,398$

$\Rightarrow$  In number $52398$, its hundred digit is $3$, which is less than $5$. 
$\Rightarrow$  So, we replace each one of the digits at hundreds, tens and ones place by $0$ to round off the given number to nearest to $1000$.

$\therefore$   The number becomes $52,000$

Multiple choice maths mental arithmetic estimation and rounding off estimations, bounds and rounding off rounding off numbers rounding of decimals

Round-off $3789$ to nearest $100$

  1. $3789$
  2. $3790$
  3. $3800$
  4. $4000$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$\Rightarrow$  The given number is $3789$

$\Rightarrow$  In number 3789, its tens digit is 8, 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 becomes $3800$