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 26,484,800.
b the number 26,484,775 rounded to the nearest thousand is 26,485,000.
c the number 26,484,775 rounded to the nearest ten thousand is \square.

Explanation:

Step1: Identify the ten-thousand place

In the number \(26,484,775\), the digit in the ten - thousand place is \(8\) (the number is grouped as \(26,484,775\), where from the right, the fifth digit is in the ten - thousand place: \(26,4\underline{8}4,775\)). The digit to the right of the ten - thousand place (the thousand place) is \(4\).

Step2: Apply the rounding rule

When rounding to the nearest ten - thousand, we look at the digit in the thousand place. If the digit in the thousand place is less than \(5\), we round down (keep the ten - thousand digit the same and set the digits to the right of the ten - thousand place to \(0\)). If the digit is \(5\) or more, we round up (increase the ten - thousand digit by \(1\) and set the digits to the right to \(0\)).

Since the digit in the thousand place is \(4\) (which is less than \(5\)), we keep the ten - thousand digit (\(8\)) the same and set the digits to the right of the ten - thousand place to \(0\). So \(26,484,775\) rounded to the nearest ten - thousand is \(26,480,000\).

Answer:

\(26,480,000\)