Sure! Let's approximate the number 0.09488 to 3 decimal places. Here's a detailed, step-by-step solution:
1. Identify the digit to be approximated: You want to approximate 0.09488 to 3 decimal places. Therefore, we will focus on the fourth digit after the decimal point to decide the rounding.
2. Locate the fourth digit after the decimal point: The number 0.09488 has the following digits after the decimal point: 0.0948|8. Here, the fourth digit is '8'.
3. Determine whether to round up or down:
- If the digit immediately after the third decimal place (fourth digit) is 5 or greater, we round up.
- If it is less than 5, we round down.
4. Round up or down accordingly:
- The fourth digit in 0.09488 is '8', which is greater than 5. This means we'll round the third decimal place up by 1.
5. Final approximation:
- The third digit after the decimal is '4', and when we round it up by 1, it becomes '5'.
- Therefore, approximating 0.09488 to 3 decimal places results in 0.095.
So, 0.09488 approximated to 3 decimal places is 0.095.
