What is 52,437 rounded to the nearest thousand?
The correct answer and explanation is:
Correct Answer: 52,000
Explanation (300 words):
Rounding numbers helps simplify them while keeping their value close to the original. To round a number to the nearest thousand, we look at the hundreds digit to decide whether to round up or down.
Let’s walk through how to round 52,437 to the nearest thousand:
- Identify the thousands and hundreds digits:
- The thousands digit is the fourth digit from the right: 2 (in 52,437).
- The hundreds digit is the third digit from the right: 4 (this is what we use to decide how to round).
- Apply the rounding rule:
- If the hundreds digit is 5 or more, round up.
- If the hundreds digit is 4 or less, round down.
In 52,437, the hundreds digit is 4. Since 4 is less than 5, we round down.
- Keep the digits to the left of the thousands place the same, and change all digits to the right to zero:
- The original number is 52,437.
- The thousands digit is 2, and since we are rounding down, it stays 2.
- All digits after the thousands place become zeros.
Why Rounding Is Useful:
Rounding is helpful when you want to estimate or simplify large numbers. For example, if someone earns $52,437 annually, and you’re doing a rough estimate for a budget, rounding to $52,000 makes math easier while keeping the value close to the real amount.
Summary:
- Look at the hundreds digit.
- If it’s 5 or more, round up; if 4 or less, round down.
- For 52,437, the hundreds digit is 4 → round down → answer is 52,000.