Tag: rounding of decimals

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Multiple choice maths mental arithmetic estimation and rounding off estimations, bounds and rounding off rounding off numbers 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
Reveal answer Fill a bubble to check yourself
B Correct answer
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

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

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
Reveal answer Fill a bubble to check yourself
D Correct answer
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

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

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. $7$
Reveal answer Fill a bubble to check yourself
B Correct answer
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 $10$.

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

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. $11$
Reveal answer Fill a bubble to check yourself
B Correct answer
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 $9$.
Multiple choice maths mental arithmetic estimation and rounding off estimations, bounds and rounding off rounding off numbers rounding of decimals

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. $599$
Reveal answer Fill a bubble to check yourself
A Correct answer
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 $550$.

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

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. $6499$
Reveal answer Fill a bubble to check yourself
C Correct answer
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 $7499$.

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

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. $101$
Reveal answer Fill a bubble to check yourself
B Correct answer
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 $99$.
Multiple choice maths mental arithmetic estimation and rounding off estimations, bounds and rounding off rounding off numbers rounding of decimals

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. $150$
Reveal answer Fill a bubble to check yourself
C Correct answer
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 $10$.