Round off to the nearest hundred.
a 6827
b 46 770
c 79 999
d 313.4
The Correct Answer and Explanation is :
Here’s how you round off the numbers to the nearest hundred:
a) 6827 → 6800
b) 46,770 → 46,800
c) 79,999 → 80,000
d) 313.4 → 300
Explanation:
Rounding numbers to the nearest hundred is a simple process that involves looking at the tens place (the second digit from the right). Based on the value in the tens place, you will either round the number down (if the tens digit is 0–4) or round it up (if the tens digit is 5–9). Here’s how we apply this rule to each number:
a) 6827 → 6800
- Look at the tens digit, which is 2.
- Since 2 is less than 5, we round down.
- This gives us 6800.
b) 46,770 → 46,800
- Look at the tens digit, which is 7.
- Since 7 is greater than 5, we round up.
- This gives us 46,800.
c) 79,999 → 80,000
- Look at the tens digit, which is 9.
- Since 9 is greater than 5, we round up.
- This gives us 80,000.
d) 313.4 → 300
- Look at the tens digit, which is 1.
- Since 1 is less than 5, we round down.
- This gives us 300.
General Rounding Rule:
- If the tens digit is less than 5, round down (keep the hundreds place the same).
- If the tens digit is 5 or greater, round up (increase the hundreds place by 1).
This rule ensures that numbers are simplified to the nearest hundred, which is useful in various applications like estimating costs, measurements, and simplifying large numbers for easier understanding.