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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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