Question

A teacher wrote the number 380,000. A student wrote the number 38,000. How many times larger is the 8 in the teacher's number than the 8 in the student's number?

a) 10 times
b) 100 times
c) 1,000 times
d) 10,000 times

Answer 1

The 8 in the number 380,000 is 10 times larger than the 8 in the number 38,000 due to place value, indicating a direct answer of '10 times larger' or option a).

Step-by-step explanation:

The 8 in the teacher's number 380,000 is 10 times larger than the 8 in the student's number 38,000.

This is due to place value, where each position in a number has a value ten times that of the position to its right. In both numbers, the 8 is in a different place value position.

In 380,000, the 8 represents 80,000 (or 8x104), and in 38,000 it represents 8,000 (or 8x103). To find out how many times larger one value is than another, we divide the larger by the smaller, which in this case is 80,000 divided by 8,000 giving us a result of 10.