Question #782ba

1 Answer
Oct 9, 2017

560000

Explanation:

Presuming that your question is "round to the nearest 10,000", consider which digit in the number is the ten thousands place.

#564006#

6 is the ones place. The zero immediately preceeding 6 is the tens place; if this were instead a 9, it would not represent 9 ones, but 9 tens, aka 90.

The zero preceding the second zero is in the hundreds place, the 4 is in the thousands place, and the 6 is in the ten thousands place.

Typically, if you're asked to round to the nearest ten thousand, you would look at the digit in the thousands place. If this digit is between 0 and 4 inclusive, you disregard it. If the digit is between 5 and 9 inclusive, you increase the ten thousands digit by 1. After rounding to the nearest ten thousand, the 1s, 10s, 100s, and 1000s digits should all be 0.

In this case, we are given 564006. We can disregard the last 3 digits already, and instead look at the thousands place digit, 4. 4 is between 0 and 4 inclusive, so we disregard it and do not increase the ten thousands digit. Thus, the 4006 is transformed by the rounding process into 0000, and the number is transformed into:

#564006 -> 560000#