Question 1

Round off the given numbers to the nearest tens, hundreds and thousands.

Accepted Answer

75847  - Nearest Ten:  75850 75847  - Nearest Hundred:  75800 75847  - Nearest Thousand:  76000 75847  - Nearest Ten Thousand:  80000 .

Question 2

Subtract:  3xy + 5yz- 7zx  from  5xy -2yz-  2zx + 10xyz

Accepted Answer

Subtract  3xy + 5yz-7zx  from 5xy - 2yz - 2zx + 10xyz    5xy - 2yz - 2zx + 10xyz-(3xy + 5yz-7zx) =5xy - 2yz - 2zx + 10xyz-3xy - 5yz+7zx =2xy-7yz+5zx+10xyz

Question 3

Round these numbers to the nearest tens. 28, 32, 52, 41, 39, 48, 64, 59, 99, 215, 1453, 2936 .

Accepted Answer

28=30 32=30 52=50 41=40 39=40 48=50 64=60 59=60 99=100 215=220 1453=1450 2936=2940 .

Question 4

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

Accepted Answer

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

Question 5

Estimate the product  475	imes 225  rounding off each number to the nearest hundred.

Accepted Answer

In  475  the last two digits i.e.,  75  is greater than  50 .Therefore,  1  will be added to the 3rd last digit and the last two digits will become zero.After rounding to nearest hundred we will get  500 .In  225  the last two digit i.e.,  25  is less than  50 Thus, the 3rd last will remain same and the last digit will become zero.After rounding to nearest ten we will get  200 .Hence, the required product is  500	imes 200 = 1,00,000

Question 6

Solve :  2a - [4b - \{4a - (3b - \overline{2a + 2b})\}]

Accepted Answer

2a−[4b−{4a−(3b−\bar{2a+2b})}] 2a−[4b−{4a−(3b−2(a+b))}] 2a−[4b−{4a−(3b−2a-2b)}] 2a−[4b−{4a−(b−2a)}] 2a−[4b−{4a−b+2a)}] 2a−[4b−{6a−b)}] 2a−[4b−6a+b] 2a−[5b−6a] 2a−5b+6a 8a−5b

Question 7

Round-off  3789  to nearest  100

Accepted Answer

\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. 	herefore    The number becomes  3800

Question 8

Round off to the nearest  10, 100,  and  1000 : 1289

Accepted Answer

\Rightarrow   Round off to 10 for 1289 is 1280 or 1290 but nearest to 1289 is 1290. \Rightarrow   So, round off to the nearest  10  is  1290 . \Rightarrow   Round off to 100 for 1289 is 1200 or 1300 but nearest to 1289 is 1300. \Rightarrow   So, round off to the nearest  100  is  1300 . \Rightarrow   Round off to 1000 for 1289 is 1000 or 2000 but nearest to 1289 is 1000. \Rightarrow   So, round off to the nearest  1000  is  1000 . 	herefore   The answer is  1290,\,1300,\,1000.

Question 9

The sum of the least number of three digits and largest number of two digits is .......

Accepted Answer

Least number of three digits is 100.Largest number of two digits is 99.Hence,100 + 99 = 199 .

Question 10

Round off 24,500 to nearest thousands.

Accepted Answer

To round a number to the nearest thousand, the digit in hundreds place is considered. if it is greater than or equal to 5 we round it up and  if is less than 5 we round it down.In  24,500   the hundreds place is  5  and the thousands place is  4 .Hence, increase the digit at thousands place by  1  and replace each one of the digits in hundreds, tens and ones place by  0 	herefore 24,500  is rounded off to nearest thousands as  25,000.

Revise with Concepts

Estimating and Rounding Off

Estimating the Results of Operations

Learn with Videos

Quick Summary With Stories

Estimating to the nearest tens by rounding off

Estimating to the nearest hundreds by rounding off

Estimating to nearest Thousand by rounding Off

Estimating the Results of Operations-I

Estimating the Results of Operations-II

Important Questions

Round off the given numbers to the nearest tens, hundreds and thousands.

Subtract:
$3 x y + 5 y z - 7 z x$ from $5 x y - 2 y z - 2 z x + 10 x y z$

Round these numbers to the nearest tens.
$28, 32, 52, 41, 39, 48, 64, 59, 99, 215, 1453, 2936$ .

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

Estimate the product $475 \times 225$ rounding off each number to the nearest hundred.

Solve : $2 a - [4 b - {4 a - (3 b - \overline{2 a + 2 b})}]$

Round-off $3789$ to nearest $100$

Round off to the nearest $10, 100,$ and $1000$ :
$1289$

The sum of the least number of three digits and largest number of two digits is .......

Round off 24,500 to nearest thousands.

Revise with Concepts

Estimating and Rounding Off

Estimating the Results of Operations

Learn with Videos

Quick Summary With Stories

Estimating to the nearest tens by rounding off

Estimating to the nearest hundreds by rounding off

Estimating to nearest Thousand by rounding Off

Estimating the Results of Operations-I

Estimating the Results of Operations-II

Important Questions

Round off the given numbers to the nearest tens, hundreds and thousands.

Subtract: 3xy+5yz−7zx from 5xy−2yz−2zx+10xyz

Round these numbers to the nearest tens. 28,32,52,41,39,48,64,59,99,215,1453,2936.

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

Estimate the product 475×225 rounding off each number to the nearest hundred.

Solve : 2a−[4b−{4a−(3b−2a+2b​)}]

Round-off 3789 to nearest 100

Round off to the nearest 10,100, and 1000: 1289

The sum of the least number of three digits and largest number of two digits is .......

Round off 24,500 to nearest thousands.

Subtract:
$3 x y + 5 y z - 7 z x$ from $5 x y - 2 y z - 2 z x + 10 x y z$

Round these numbers to the nearest tens.
$28, 32, 52, 41, 39, 48, 64, 59, 99, 215, 1453, 2936$ .

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

Estimate the product $475 \times 225$ rounding off each number to the nearest hundred.

Solve : $2 a - [4 b - {4 a - (3 b - \overline{2 a + 2 b})}]$

Round-off $3789$ to nearest $100$

Round off to the nearest $10, 100,$ and $1000$ :
$1289$