156 rounded to the nearest hundred
Understand the Problem
The question is asking for the process of rounding the number 156 to the nearest hundred, which involves identifying which hundred 156 is closest to.
Answer
The number 156 rounded to the nearest hundred is $200$.
Answer for screen readers
The number 156 rounded to the nearest hundred is $200$.
Steps to Solve
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Identify the nearest hundreds To round 156 to the nearest hundred, we first find the hundreds immediately below and above 156. The numbers are 100 and 200.
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Determine the midpoint Next, we find the midpoint between 100 and 200. The midpoint is calculated as follows: $$ \text{Midpoint} = \frac{100 + 200}{2} = 150 $$
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Compare 156 with the midpoint Now we compare 156 with the midpoint of 150. Since 156 is greater than 150, it is closer to 200 than to 100.
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Round the number Because 156 is closer to 200, we round it up to 200.
The number 156 rounded to the nearest hundred is $200$.
More Information
Rounding is a common mathematical process used to simplify numbers while retaining their approximate value. In this case, 156 is much closer to 200 than to 100, hence it rounds up.
Tips
- A common mistake is rounding down when the number is above the midpoint. Always remember that if it's greater than the midpoint, round up.
