By identifying the place values, we conclude that:
First, we know that the hundredth place is the second place after the decimal point, while the tenths place is the first place after the decimal point.
Now, because our math is in base-10, if we multiply a digit in a place value by 10, we basically move that digit to the left (higher place value). While if we divide it by 10, we move it to the left.
So, "10 hundredths" is equivalent to having one hundredth and multiplying it by 10, so we move the place value to the left, which is the place of the tenths.
This means that 10 hundredths is exactly the same thing as one tenth.
Now, the thousandths place is the third place after the decimal point, so:
100 thousandths is equivalent to 10 hundredths, which is equivalent to 1 tenth, then:
100 thousandths is equivalent to 1 tenth.
If you want to learn more about place value:
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