Question

How would you estimate the sum of 3897 and 6955?

Answer 1

Hint: We round off numbers to help us with our calculations. Estimation aids in providing an accurate and timely response to the question. we can round or estimate it to the nearest tens place, which is only one place. Rounding to the lesser place value is more accurate and it is taking more steps for configuring with right values.

Complete step by step answer:
Here, 3897 is a four-digit number and 6955 is also a four-digit number.
First, we estimate both these numbers i.e., 3897and 6955
3897 can be estimated or round off to 4000 as 3897 is nearest to 4000, when you look in number line between 3000 and 4000 we will see that 3897 is very much nearest to 4000 and 3897 is very far from 3000
So, 3897 is rounded off to 4000
Also, 6955 is round off to 7000 as 6955 is nearest to 7000 when you look at the number line between 6000 and 7000 we will see that 6955 is very much nearest to 7000 and 6000 is very far from 6955
So, 6955 is rounded off to 7000
Now adding both the estimation
\[ \Rightarrow 4000 + 7000 = 11000\]

Additional information:
The actual sum of 3897 and 6955 is
\[ = 3897 + 6955\]
\[ = 10852\]
The estimated round off of 10852 is 11000.\[\]

Note:
We see the number at the unit's place to estimate the nearest ten. It is converted to a 0 or a 10 as appropriate. If the number is less than five, it is rounded off or estimated to zero; if the number is greater than five, it is rounded off or estimated to ten.