Pregunta
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Round the decimal number to the nearest hundredth.

Ask by Riley Hardy. in the United States
Mar 15,2025

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To round a decimal to the nearest hundredth, look at the digit in the thousandth's place. If it's 5 or higher, increase the hundredth's place by 1. If it's less than 5, keep the hundredth's place the same. Then, remove any digits after the hundredth's place.

Solución

**Step 1:** Identify the hundredth's place of the number. For a decimal number written as, for example, \[ a.bcd\ldots \] the digit \(c\) is in the hundredth's place. **Step 2:** Look at the digit immediately following the hundredth's place—the thousandth's place (the digit \(d\) in the example). **Step 3:** Apply the rounding rule: - If the digit in the thousandth's place is \(5\) or more (i.e., \(5, 6, 7, 8, \) or \(9\)), increase the digit in the hundredth's place by \(1\). - If the digit is less than \(5\), keep the digit in the hundredth's place unchanged. **Step 4:** Remove all digits beyond the hundredth's place after rounding. **Example:** Let the number be \[ 3.146 \] - The hundredth's place is the digit \(4\). - The thousandth's place is the digit \(6\) (which is \(\geq 5\)). Thus, we increase \(4\) to \(5\) and drop the remaining digits, so \[ 3.146 \approx 3.15 \quad \text{(to the nearest hundredth)}. \] This is the process to round any decimal number to the nearest hundredth.

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Rounding to the nearest hundredth means you want to look at the third decimal place to decide what to do with the second decimal place. If the third decimal place is 5 or greater, you add 1 to the second decimal place. If it’s less than 5, you keep the second decimal place as it is. This way, you keep your number neat and tidy while still maintaining the right level of precision! For example, if you have the number 3.456, you would look at the 6 in the thousandths place. Since 6 is more than 5, you would round the second decimal place (5) up to 6, giving you 3.46. On the other hand, 3.452 would round down to 3.45. It's all about that little look at the next digit!

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