what is 271 403 rounded to the nearest hundred thousand
The correct answer and explanation is:
Here is the correct answer and explanation for rounding 271,403 to the nearest hundred thousand.
Correct Answer:
300,000
Explanation:
To round the number 271,403 to the nearest hundred thousand, we need to identify the hundred thousands place and then look at the digit immediately to its right to determine whether to round up or down.
Let’s break down the place values in the number 271,403:
- The digit 2 is in the hundred thousands place.
- The digit 7 is in the ten thousands place.
- The digit 1 is in the thousands place.
- The digit 4 is in the hundreds place.
- The digit 0 is in the tens place.
- The digit 3 is in the ones place.
We are rounding to the nearest hundred thousand, so our focus is on the digit ‘2’ in the hundred thousands place. The rule for rounding is based on the digit directly to the right of the target place value. In this case, the digit to the right of the hundred thousands place is the digit in the ten thousands place, which is ‘7’.
The rounding rule states:
- If the digit to the right is 5 or greater (5, 6, 7, 8, or 9), you round the target digit up by one.
- If the digit to the right is less than 5 (0, 1, 2, 3, or 4), you keep the target digit the same.
Since the digit to the right of the hundred thousands place is ‘7’, and 7 is greater than or equal to 5, we must round the digit in the hundred thousands place up. The ‘2’ in the hundred thousands place becomes a ‘3’. All the digits to the right of the hundred thousands place (7, 1, 4, 0, and 3) are then replaced with zeros.
Therefore, 271,403 rounded to the nearest hundred thousand is 300,000. This means that 271,403 is closer to 300,000 than it is to 200,000. hundred thousand, we need to identify the digit in the hundred thousands place and look at the digit immediately to its right.
Correct Answer:
271,403 rounded to the nearest hundred thousand is 300,000.
Explanation:
Rounding a number involves simplifying it to a specific place value. In this case, we want to round 271,403 to the nearest hundred thousand.
First, we identify the digit in the hundred thousands place, which is the digit ‘2’ in 271,403.
Next, we look at the digit immediately to the right of the hundred thousands place. This is the digit in the ten thousands place, which is ‘7’. This digit ‘7’ is the decision-maker for rounding.
The rule for rounding is:
- If the digit to the right of the target place value is 5 or greater (5, 6, 7, 8, or 9), we round up.
- If the digit to the right is less than 5 (0, 1, 2, 3, or 4), we round down.
Since the digit to the right of the hundred thousands place is ‘7’, and ‘7’ is greater than or equal to 5, we round up.
Rounding up means we increase the digit in the hundred thousands place by one. So, the ‘2’ becomes a ‘3’.
After rounding up the target digit, all the digits to the right of the hundred thousands place become zeros. The digits 7, 1, 4, 0, and 3 are all replaced by zeros.
Therefore, 271,403 rounded to the nearest hundred thousand becomes 300,000.
Conceptually, 271,403 lies between the two hundred thousands: 200,000 and 300,000. The midpoint between these is 250,000. Since 271,403 is greater than 250,000, it is closer to 300,000.
Thus, 271,403 rounded to the nearest hundred thousand is 300,000.