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placeholders and trailing zeros a decimal can take any digit between zero and nine as with whole numbers a zero in a decimal place means that this place value is not represented for example the zero in one and two hundredths means that the tenths place is not represented but the hundredths place is and there is a two there so the total value of the decimal part of this number is two hundredths as you can see the zero in this decimal number is important it should be there if we want to represent a decimal value of two hundredths if we don't have a zero for example if we just write one and two-tenths then the value of the decimal becomes two-tenths not two hundredths because we have one decimal place to the right of the decimal point since the value we want to represent is two hundredths we write a zero in the tenths place and a two in the hundredths place this zero in the tenths place is called a placeholder because it holds the place that we do not use it is very important to help us put the digits in their right places and get the correct value consider now this decimal number this is the same as the previous decimal number but we have an extra zero at the end this last zero is in the thousandths place it is the third decimal place to the right of the decimal point of course this zero means that we are not representing the thousandths place so really we can actually just ignore it it does not give us any additional value for the number if we ignore this zero we get one and two hundredths which is the same as the previous number at which we've been looking this shows us that after the decimal point zeros on the right that are not followed by a digit between one and nine can be ignored they are called trailing zeros they carry no value this means that these numbers here represent exactly the same value which is one and two hundredths but in case you write a digit between one and nine after some zeros then all the previous zeros will suddenly become placeholders for example if we write 1.000 then this number is just 1 because all the zeros in the decimal places have no value they are trailing zeros but if we replace the last zero with a digit such as nine then the two zeros in the tenths and hundredths places become placeholders and what would nine represent it would represent the thousandths place so its value would be nine thousandths and the complete number will be read as one and nine thousandths in this lesson you learned about placeholders and trailing zeros in decimal numbers you