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Understanding place value is essential to mastering decimal conversion. Place value refers to the position of a digit in a number, which helps determine its value. Each place in a number has a value ten times that of the place to its right. For example, in the number 345:
- The '5' is in the ones place and is worth 5. - The '4' is in the tens place and is worth 40. - The '3' is in the hundreds place and is worth 300.
This concept also applies to decimals, but in the other direction. Each place to the right of the decimal point is ten times smaller than the place before it.
For instance, in the number 0.456: - The 4 is in the tenths place, worth 0.4. - The 5 is in the hundredths place, worth 0.05. - The 6 is in the thousandths place, worth 0.006.
Understanding these places helps you read and write decimal numbers correctly.

Decimal notation is a way of expressing numbers that includes a decimal point to separate the whole part from the fractional part. This system is based on the principle that each position to the right of the decimal point is ten times smaller than the one before.
Think of the number 27 in the context of decimal notation. When we talk about 'twenty-seven hundredths,' we're referring to a fraction of a whole. The number 27 in this context means 27 parts out of 100, which is written as 0.27. The decimal point is crucial as it signifies the start of the fractional part of the number.
In summary, decimal notation: - Uses the decimal point to separate the whole number from the fraction. - Moves place value to the right of the decimal point, indicating tenths, hundredths, thousandths, etc. - Makes understanding and using fractions easier.

The hundredths place is the second position to the right of the decimal point. This place value is crucial when converting fractions into decimals, as it determines how small or large the fraction is relative to the whole number.
In the phrase 'twenty-seven hundredths,' the term 'hundredths' tells us where to place the 27 in a decimal. Since the hundredths place is two positions to the right of the decimal point, we write 'twenty-seven' as 0.27 (or 27/100).
Here's a clear way to visualize it: - 0.1 is 'one-tenth' and it has a 1 in the tenths place. - 0.01 is 'one-hundredth' and it has a 1 in the hundredths place.
Thus, 0.27 has a 2 in the tenths place and a 7 in the hundredths place. This representation shows that we are dealing with 27 out of 100 parts, making it 'twenty-seven hundredths.'