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# Decimal Place Value – Explanation & Examples

A decimal number is defined as a number which is written in the decimal notation where each digit represents the different powers of 10. For instance, 20.456, 5. 006, 0.0001 are examples of decimal numbers. A decimal number consists of the following parts:*The whole number parts*

*The decimal part*

## How to Read Decimals?

**zero point zero, zero, five**” and 4.2 is read as “four, point two.”

*Example 1*- 578 is written and read as twenty-five, point five seven eight.
- 14 is written and read as seven thousand, point one four.
- 002 is written and read as zero point zero, zero two.

**forty-two and thirty-seven hundredths.**” And the number 8.34 is read as “

**eight and thirty-four hundredths.**” In this case the word ‘point’ is replaced by the word ‘and’ the numbers on the right most are read with their place values.

*Example 2*- 578 is written and read as twenty-five and five hundred seventy-eight thousandths.
- 14 is written and read as seven thousand and fourteen hundredths.
- 002 is written and read as two thousandths.

## What is the Place Value of Decimals?

Place value is a positional notation system where the position of an integer in a number and with respect to a point, determines the value of it. The place value for decimal numbers is done exactly the same way whole numbers are treated, but in this case, it is reverse.#### Place value chart

HUNDREDS |
TENS |
ONES |
DECIMAL
POINT |
TENTHS |
HUNDREDTHS |
THOUSANDTHS |

x 10 ^{2} |
x 10 ^{1} |
x 10 ^{0} |
(.) |
x 10 ^{-1} |
x 10 ^{-2} |
x 10 ^{-3} |

^{-2}. The place value in decimals is based on preceding exponential of 10. When shifting from the left to the right of a decimal number, the integers get divided by powers of 10 (10

^{-1}= 1/10, 10

^{-2 }=1/100, 10

^{-3}= 1/1000, etc.), implying that, the decimal place value defines the tenths, hundredths and so on. A hundredth in a decimal number implies 1/100 or 0.01.

**Determine the place of the decimal digits in the following number: 0.37.**

*Example 3*__Solution__The number 3 is in the place of tenths, and so the place value is 3 x 10

^{-1}= 3/10 = 0.3 7 is in the position of hundredths, and hence its place value is 7 x 10

^{-2}= 7/100 = 0.07

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