Question

according to a survey, 26,484,775 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 26,484,775 rounded to the nearest hundred is \boxed{}

Explanation:

Step1: Identify the digit in the tens place

The number is 26,484,775. To round to the nearest hundred, we look at the tens digit. The hundreds place is 7 (from 484,775: the digits are 4 (ten-thousands), 8 (thousands), 4 (hundreds? Wait, no, let's parse the number correctly. 26,484,775: breaking down by place values:

- Units: 5
- Tens: 7
- Hundreds: 7
- Thousands: 4
- Ten - thousands: 8
- Hundred - thousands: 4
- Millions: 6
- Ten - millions: 2

Wait, no, let's write the number with commas as per place values: 26,484,775. So from right to left, the places are:

1st digit (rightmost): units (5)

2nd: tens (7)

3rd: hundreds (7)

4th: thousands (4)

5th: ten - thousands (8)

6th: hundred - thousands (4)

7th: millions (6)

8th: ten - millions (2)

To round to the nearest hundred, we look at the tens digit (the 2nd digit from the right, which is 7) and the hundreds digit is the 3rd digit from the right (7). Wait, the rule for rounding: if the digit to the right of the place we are rounding to (hundreds place) is 5 or more, we round up the hundreds place.

The number is 26,484,775. We want to round to the nearest hundred. So we look at the tens digit (7) and the units digit (5) is not directly relevant for hundreds, wait no: the place we are rounding to is hundreds. So the digit in the hundreds place is 7 (the 3rd digit from the right: 7), and the digit to the right of the hundreds place (tens place) is 7. Since 7 ≥ 5, we round up the hundreds place.

Wait, let's write the number as 26,484,775. Let's group it as 26,484,775. The part we care about for rounding to the nearest hundred is the last three digits: 775. Wait, no: the number is 26,484,775. So the hundreds place is the third digit from the right. So the number is:

... 4 (thousands place), 7 (hundreds place), 7 (tens place), 5 (units place). Wait, no, 26,484,775:

- Thousands: 4 (the 4th digit from the right: 4)
- Hundreds: 7 (3rd digit from the right: 7)
- Tens: 7 (2nd digit from the right: 7)
- Units: 5 (1st digit from the right: 5)

So to round to the nearest hundred, we look at the tens digit (7) and units digit (5) is part of the number. Wait, the rule is: when rounding to the nearest hundred, we look at the tens digit. If the tens digit is 5 or more, we round up the hundreds digit.

The number is 26,484,775. Let's take the number as 26,484,775. We can write it as 26,484,700 + 75. Wait, no, the last three digits are 775. To round 775 to the nearest hundred: the tens digit is 7, which is ≥ 5, so we round up the hundreds digit. The hundreds digit in 775 is 7, so 7 + 1 = 8, and the tens and units digits become 0. So 775 rounded to the nearest hundred is 800.

So the number 26,484,775 rounded to the nearest hundred is 26,484,800.

Wait, let's verify:

The number is 26,484,775. The hundreds place is 7 (digit at position 3 from the right: 7), tens place is 7 (position 2), units is 5 (position 1). Since the tens digit (7) is greater than or equal to 5, we add 1 to the hundreds digit. So 7 (hundreds) + 1 = 8, and set the tens and units digits to 0. So the number becomes 26,484,800.

Step1: Locate the hundreds place and the digit to its right

The number is \( 26484775 \). The digit in the hundreds place is \( 7 \) (the third digit from the right), and the digit to the right of the hundreds place (tens place) is \( 7 \).

Step2: Apply the rounding rule

Since the digit in the tens place (\( 7 \)) is greater than or equal to \( 5 \), we round up the digit in the hundreds place. So we add \( 1 \) to the hundreds digit (\( 7 + 1 = 8 \)) and set the digits to the right of the hundreds place (tens and units) to \( 0 \).

So \( 26484775 \) rounded to the nearest hundred is \( 26484800 \).

Answer:

\( 26484800 \)