The rules for comparing decimal numbers is as follows:
- Compare the whole number part first (i.e., compare the digits in front of the decimal). If they are different, then compare the numbers as you would for any whole number.
- Compare the tenths place.
- Compare the hundredths place.
- Etc.
What are two ways decimals can be compared?
It is helpful to write one decimal below the other. It is also easier to compare decimals when you have the same number of decimal digits. Thus, when comparing two decimals, we can write one or more extra zeros to the right of the last digit of one decimal so that both decimals have the same number of decimal digits.
Is 0.14 or 0.2 smaller?
We cannot compare decimal numbers by simply reading the decimal numbers as though they were whole numbers. 0.2 is larger than 0.14 because 0.2 contains 2 tenths, whereas 0.14 contains only 1 tenth.
Which is bigger, 0.2 or 0.15?
The numbers have the same amount of ones (two) and tenths (three), but the second one has more hundredths, so the second is bigger. Tip: It is easier to compare if the numbers have the same amount of decimals. You can tag a zero (or zeros) to the end of the number with less decimals. Which is bigger, 0.2 or 0.15 ?
Which is more 0.16 or 0.4?
This is a complete lesson with instruction and varied exercises about comparing decimals with 1 or 2 decimal digits. A student with a common misconception will say that 0.16 is more than 0.4, thinking of the decimal digits as “plain numbers.” We can use place value charts to combat this misconception.
How are extra zeros used to compare decimals?
Thus, we often write extra zeros to the right of the last digit of one of the decimals being compared. These extra zeros are place holders and do not change the value of the decimal. However, if you inserted a zero between the decimal point and a decimal digit, thatwould change the value of the decimal.
What’s the difference between 0.57 and 0.549?
As you can see in the example above, 0.57 has fewer decimal digits than 0.549. It is easier to compare two decimals when you have the same number of decimal digits, so an extra zero was written to the right of the digit 7 in the decimal 0.57.
