QUESTION IMAGE
Question
according to a survey, 37,482,665 people can speak a language other than their native language. round this number to the nearest, a. hundred, b. thousand, c. ten thousand, d. hundred thousand, e. million, f. ten million.
a. the number 37,482,665 rounded to the nearest hundred is \boxed{}.
Step1: Identify the digit in the tens place
The number is 37,482,665. To round to the nearest hundred, we look at the tens digit. The number can be broken down as: 37,482,6\({\color{red}6}\)5 (hundreds place is 6, tens place is 6, ones place is 5). Wait, actually, let's write the number with place values:
- Ones: 5
- Tens: 6
- Hundreds: 6
- Thousands: 2
- Ten - thousands: 8
- Hundred - thousands: 4
- Millions: 7
- Ten - millions: 3
Wait, no, let's write the number correctly: 37,482,665. Let's group the digits:
From right to left, the places are:
1st digit (rightmost): Ones (5)
2nd digit: Tens (6)
3rd digit: Hundreds (6)
4th digit: Thousands (2)
5th digit: Ten - thousands (8)
6th digit: Hundred - thousands (4)
7th digit: Millions (7)
8th digit (leftmost): Ten - millions (3)
To round to the nearest hundred, we look at the digit in the tens place (the second digit from the right) to decide if we round up the hundreds place.
The number is 37,482,665. The hundreds place is the 3rd digit from the right, which is 6, and the tens place is the 2nd digit from the right, which is 6.
Step2: Apply the rounding rule
The rule for rounding is: if the digit to the right of the place we are rounding to (tens place for rounding to hundreds) is 5 or more, we round up the hundreds place. If it's less than 5, we leave the hundreds place as it is.
The digit in the tens place is 6, which is greater than 5. So we add 1 to the hundreds place.
The hundreds place digit is 6. Adding 1 to 6 gives 7. The digits to the right of the hundreds place (tens and ones) become 0.
So, 37,482,665 rounded to the nearest hundred:
We take the number up to the hundreds place, round it, and set the tens and ones to 0.
The number before rounding the hundreds place: 37,482,6\({\color{blue}6}\)5
After rounding the hundreds place (since tens digit is 6 ≥ 5, we round up the hundreds digit 6 to 7):
37,482,700
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