Round 747877.40341 to the nearest hundred.
The correct answer and explanation is:
The number 747877.40341 rounded to the nearest hundred is 747900.
Explanation:
Rounding a number to the nearest hundred involves focusing on the digits in the hundreds and tens places. Here’s the step-by-step process:
- Identify the relevant digits:
The number in question is 747877.40341. The digit in the hundreds place is 8, and the digit in the tens place is 7. - Check the tens digit:
When rounding to the nearest hundred, the rule is that if the tens digit is 5 or greater, the hundreds digit is increased by 1. If the tens digit is less than 5, the hundreds digit stays the same. - Apply the rounding rule:
In this case, the tens digit is 7, which is greater than 5. Therefore, the hundreds digit, which is 8, is increased by 1. - Change the digits after the hundreds place:
After rounding, all digits to the right of the hundreds place become zeros.
Thus, 747877.40341 rounded to the nearest hundred is 747900.
By understanding how to look at the hundreds and tens places, rounding becomes a quick and efficient task. This process is essential in many real-world scenarios, such as simplifying large numbers for easier communication, financial calculations, and estimations.