Question

Estimate and solve to the nearest thousands 3712+7167​.

Answer 1

Before addition, let's estimate the given numbers.
3712:
Step 1: Identify the place value of the rounding digit
Here, we are rounding to thousands digit i.e. 3 in 3712

Step 2: Look at the digit to the right of the rounding digit. Here, we want to round to the nearest thousands we would look at the hundreds place i.e. 7 in 3712.

Step 3: Here, digit that is right to the rounding digit is 7, which is greater than 5. So we add 1 to the rounding digit 3 in 3712 i.e. 3 + 1 = 4 and digits after 4 become zeros.

Hence, 3712 is rounded off to nearest thousands as 4000.

7167:
Step 1: Identify the place value of the rounding digit
Here, we are rounding to thousands digit i.e. 7 in 7167

Step 2: Look at the digit to the right of the rounding digit. Here, we want to round to the nearest thousands we would look at the hundreds place i.e. 1 in 7167.

Step 3: Here, digit which is right to the rounding digit is 1, which is less than 5. So we leave the rounding digit as it is i.e. 7 in 7167 and digits after 7 become zeros.

Hence, 7167 is rounded off to nearest thousands as 7000.

Now, add 4000 + 7000
$\therefore 3712+7167\approx 4000+7000$
$\approx 11000$