Approximate value of 275.003×3.005

To find the approximate value of 275.003×3.005, we can use the method of estimation or rounding.

Rounding the numbers

Start by rounding each number to the nearest whole number:

275.003 ≈ 275
3.005 ≈ 3

Now, multiply the rounded numbers:

275 × 3 = 825

Therefore, the approximate value of 275.003×3.005 is 825 (Option A).

Explanation:

When we round a number to the nearest whole number, we either increase or decrease the number depending on the fractional part.

In this case, 275.003 is very close to 275, but it is slightly larger. So, we round it up to 275.

Similarly, 3.005 is very close to 3, but it is slightly larger. So, we round it up to 3.

By multiplying the rounded numbers, we get an approximate value of the original expression.

Summary:

- The original expression is 275.003×3.005.
- We rounded each number to the nearest whole number: 275.003 ≈ 275 and 3.005 ≈ 3.
- Multiplying the rounded numbers gives us the approximate value of 275.003×3.005, which is 825.

Option a. 825