Final answer:
In summary, 0.200 (or 200 thousandths) is equal to 2 tenths or 20 hundredths. When converting decimal places, one moves the decimal point left or right depending on whether we are converting to a larger or smaller place value.
Step-by-step explanation:
The student is asking how many tenths and hundredths are equal to 0.200 or 200 thousandths. When converting thousandths to tenths, we count two places to the left from the thousandths place. Therefore, 200 thousandths (0.200) is equal to 2 tenths because 0.200 has two tenths (2/10) in it.
If we were converting thousandths to hundredths, we count only one place to the left from the thousandths place, which means that 0.200 has 20 hundredths (20/100) in it. This is because each tenth is composed of 10 hundredths.
Using the concept of multiplying and dividing by powers of ten, moving the decimal point can change the value's place designation. For example, 2.016 grams at the thousandths place when added to 15.99 grams at the hundredths place should be rounded to the hundredths place due to place value precision.