Decimal Place Value & Reading Decimals
Reading Place Values
A decimal number is a number that has digits before and after a decimal point. The decimal point is placed after the ones digit.
Example :
3.145
Each digit in a decimal number has a place value depending on its position.
Tens
|
Ones
|
Decimal point |
Tenths
|
Hundredths
|
Thousandths
|
|
3 |
. |
1 |
4 |
5 |
The value of a digit is determined by its place value.
Number |
Place Value (of underlined digit)
|
Value of the digit |
3 .145 |
Ones |
3 |
3. 145 |
Tenths |
0.1 |
3.1 45 |
Hundredths |
0.04 |
3.14 5 |
Thousandths |
0.005 |
When the decimal point of a number is not shown (for example, in whole numbers), then it is assumed to be at the end of the number.
Example :
321 = 321.
4 = 4.
Reading Decimal Numbers
Example:
Read 38.7425
Solution:
Step 1: Values to the left of the decimal point are greater than one.
38 means 3 tens and 8 ones.
Step 2: The word name of the decimal is determined by the place value of the digit in the last place.
The last digit (5) is in the ten-thousandth place.
38.7425 is read as thirty-eight and seven thousand four hundred twenty-five ten thousandths
The following video explains decimals place values and reading of decimals.
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