The number of digits contained in the decimal part of a given decimal number gives the number of decimal places.
Examples:
1. The number 5.76 has 2 decimal places.
2. The number 0.315 has 3 decimal places.
3. The number 86.261 has 3 decimal places.
4. The number 912.67 has 2 decimal places.
To understand about the explanation of a decimal numbers we must first know about the Place Value.
For example; let us take a decimal number 42.37
• The number is read as forty two and thirty seven hundredths or forty two point three seven.
• In the decimal
number the whole number part is 42
and the decimal part is 0.37.
• In the whole number part 42
The place of 2 is ones or unit and its place value is 2 × 1 = 2.
The place of 4 is tens and its place value is 4 × 10 = 40.
• In the decimal part 0.37
The place of 3 is tenths and its place value is 3 × 1/10 = 3/10 = 0.3.
The place of 7 is hundredths and its place value is 7 × 1/100 = 7/100 = 0.07.
We can also write the number in the expanded form as 42.37 = 40 + 2 + 0.3 + 0.07
= 4 10 + 2 1 + 3/10 + 7/100
= 4 × 10 + 2 × 1 + 3/10 + 7/100 = 4 × 10^{1} + 2 × 10^{0} + 3 × 10^{-1} + 7 × 10^{-2}
Note:
The expansion form of a decimal number is shown in three ways; we can do it in either of the ways.
● Related Concept
● Decimals
● Conversion of Unlike Decimals to Like Decimals
● Decimal and Fractional Expansion
● Converting Decimals to Fractions
● Converting Fractions to Decimals
● H.C.F. and L.C.M. of Decimals
● Repeating or Recurring Decimal
● BODMAS/PEMDAS Rules - Involving Decimals
● PEMDAS Rules - Involving Integers
● PEMDAS Rules - Involving Decimals
● BODMAS Rules - Involving Integers
● Conversion of Pure Recurring Decimal into Vulgar Fraction
● Conversion of Mixed Recurring Decimals into Vulgar Fractions
● Rounding Decimals to the Nearest Whole Number
● Rounding Decimals to the Nearest Tenths
● Rounding Decimals to the Nearest Hundredths
● Simplify Decimals Involving Addition and Subtraction Decimals
● Multiplying Decimal by a Decimal Number
● Multiplying Decimal by a Whole Number
● Dividing Decimal by a Whole Number
● Dividing Decimal by a Decimal Number
7th Grade Math Problems
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