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To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The number 465 has 6 in the tens place and 5 in the units place.
Step 2: To round to the nearest ten, we look at the units digit (5). According to rounding rules, if the digit is 5 or more, we round up.
Step 3: Since the units digit of 465 is 5, we round 460 up to 470.
Therefore, the rounded value of 465 to the nearest ten is .
\( 52\approx\text{ ?} \)
The standard rounding rule is that 5 or greater rounds up. This creates consistency in mathematics - we always know what to do with 5! Some people think 5 is 'in the middle' but the rule keeps everything uniform.
Numbers ending in 0, 1, 2, 3, or 4 round down to the nearest ten. For example, 464 would round down to 460 because 4 is less than 5.
Think of it as a split at 5: digits 0-4 go down, digits 5-9 go up. You can also remember '5 and above, give it a shove (up)'!
Approximate means 'close to but not exactly'. When we write , we're saying 465 is approximately equal to 470 - close enough for many purposes!
Yes! To round 465 to the nearest hundred, look at the tens digit (6). Since 6 ≥ 5, round up: 465 rounds to 500. Different rounding gives different approximations.
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