What is a Decimal?
Decimals are used to help determine place value. Going from the decimal to the left the place value is as follows: ones, tens, hundreds, thousands, ten thousands, etc. From the decimal to the right: tenths, hundredths, thousandths, ten thousandths, etc.
Decimals use place value to represent an amount. To read a decimal, like we have here, first read the number to the left as a whole number followed by and then read the number to the right of the decimal followed by the last place value.
This number would be read as six hundred forty-one and five thousand one hundred twenty-nine ten thousandths. This number could also be represented as a mixed number.
Six hundred forty-one and five thousand one hundred twenty-nine ten thousandths. Let’s look at another decimal, five and eight thousand one hundred thirty-nine ten thousandths.
We could write this number as an improper fraction by taking the five plus this would be eight tenths since it’s in the tenths place, plus one hundredth, plus three thousandths, plus nine ten thousandths, which would give us fifty-eight thousand one hundred thirty-nine ten thousandths.
We’ve seen a decimal in decimal form, we’ve seen it represented as a mixed number, and also as an improper fraction.