Question

round 463,462 to the nearest ten thousand.

Explanation:

Step1: Identify the digit in the ten - thousands place and the digit to its right

The number is 463,462. The ten - thousands place digit is 6 (since 463,462 can be broken down as 4\times100000+6\times10000 + 3\times1000+4\times100+6\times10 + 2\times1). The digit to the right of the ten - thousands place (the thousands place) is 3.

Step2: Apply the rounding rule

The rule for rounding is: if the digit to the right of the place we are rounding to is less than 5, we round down (keep the digit in the place we are rounding to the same and change all digits to the right to 0); if the digit is 5 or more, we round up (increase the digit in the place we are rounding to by 1 and change all digits to the right to 0).

Since the digit in the thousands place (3) is less than 5, we round down. So we keep the digit in the ten - thousands place (6) the same and change all the digits to the right of the ten - thousands place to 0.

So 463,462 rounded to the nearest ten - thousand is 460,000.

Answer:

460000