Can you show 0.02 in tenths place value

And here is the size of one tenth. One tenth fits into one whole ten times. The tenths place value column is the first digit shown after the decimal point. Here we can see the effect of dividing by 10 on a place value chart to get to one tenth.

Digits in the tenths place value column can always be written as a fraction out of To write a tenth as a decimal, write the numerator of the fraction in the tenths column, after the decimal point. Here is an example of 3 tenths. The fraction is out of 10 so we write the 3 in the tenths column, after the decimal point. Since we do not have any ones, we put a zero before the decimal point. It is important not to confuse the tens place value column with the tenths place value column. The tenths place value column is one place to the right of the decimal point, whereas the tens column is two places to the left of the decimal point.

Tens are ten times larger than one whole, whereas tenths are ten times smaller than one whole. What are Hundredths? Hundredths are the second digit to the right of the decimal point. They are written as a fraction out of Hundredths are one hundred times smaller than numbers in the ones column. One hundredth is written as a decimal as 0.

One hundredth is one hundred times smaller than a whole. One hundredth is ten times smaller than one tenth. Here is a tenth. Here is one hundredth. One hundred hundredths make a whole. One hundredth is one tenth divided by ten again. Ten hundredths make a tenth and one hundred hundredths make one whole. Here is an example of writing hundredths as a decimal. The 8 is a fraction out of Therefore this fraction is worth 8 hundredths. We write the 8 in the hundredths column, two places to the right of the decimal point.

We need to put zeros in the tenths column and ones column to show there is nothing there. We need to put a zero in the ones column to show that there is no whole number component and we need to put a zero between the decimal point and the 8 to show that there is no tenths.

Here is another example of writing a fraction in the hundredths as a decimal. To write a hundredth as a decimal, take the last digit of the numerator and put it 2 places to the right of the decimal point. Then copy the rest of the digits from the numerator in the same order in front of this. The last digit of the numerator is a 9.

We put the 9 in the hundredths column, 2 places to the right of the decimal point and then put the 4 in front of this in the tenths column. There are no other digits, so we write a 0 in the ones column. There are one hundred hundredths in one whole. There are 49 hundredths in 0. It is important to know the difference between hundreds and hundredths. Hundreds are one hundred times larger than one whole, whereas hundredths are one hundred times smaller than one whole.

The hundreds place value column is three places to the left of the decimal point and the hundredths place value column is two places to the right of the decimal point. What are Thousandths? Thousandths are the third digit to the right of the decimal point. Thousandths are one thousand times smaller than numbers in the ones column.

Here is an example of thousandths. To write a number in the thousandths as a decimal, write the last digit of the numerator 3 places to the right of the decimal point. Write the other digits in the numerator in the same order in front of it. The last digit of is a 6.

We place the 6 in the thousandths column, three places to the right of the decimal point. We then place the 2 and the 0 in the same order in front of this. Here is another example of writing a fraction in the thousandths as a decimal.

The digit of 2 is the last digit in the numerator of the fraction. Since the fraction is out of , we write the 2 in the thousandths column, three places to the right of the decimal point. We put the 5 in front of this in the hundredths column.

The are no other digits so we must put a 0 in the tenths column and a 0 in the ones column. It is important to write 0. The places above 1 were given names like tens, hundreds, thousands, and so on. See the article on place values for whole numbers for more examples. Based on this, the places below 1 are given the same name but with a th at the end: tenths, hundredths, thousandths, and so on. For example, say we have the decimal: Similarly to how the tens place counts groups of tens, the tenths place counts groups of tenths, or In our decimal above, we have 3 groups of 's.

Digits further to the right are smaller than digits further to the left. Pre-Algebra Decimals. Explanations 2. Zora Gilbert. Decimal place value counts up in the opposite direction Place value for decimals works pretty much the exact same way as it does for whole numbers , but in reverse.

Image by Caroline Kulczycky created with Canva. In the number Show Solution Check. Related Lessons. View All Related Lessons. Alex Federspiel.