DecimalsĀ areĀ numbersĀ thatĀ showĀ partsĀ of aĀ whole, and they’reĀ separatedĀ by aĀ decimalĀ point.
HereĀ are someĀ keyĀ pointsĀ aboutĀ decimals:
Reason forĀ usingĀ decimals:
When we cutĀ thingsĀ intoĀ smallerĀ partsĀ (likeĀ piecesĀ ofĀ cake).
When we countĀ money (like 10.50).
When we measureĀ thingsĀ (likeĀ height: 4.8Ā feetĀ tall).
When we work with fractions (like ½ = 0.5).
Example:
If you eatĀ halfĀ of aĀ pizza, that is 0.5Ā pizza.
If you drinkĀ aĀ quarterĀ literĀ ofĀ water, that is 0.25Ā liter.
Parts of aĀ decimalĀ number:
Whole Number Part (before the dot) – 12
Decimal Part (after the dot) – 34
The decimalĀ pointĀ separatesĀ theĀ wholeĀ numberĀ from theĀ decimalĀ part.
So, 12.34Ā meansĀ 12Ā wholesĀ and 34Ā partsĀ out of 100.
PlaceĀ valuesĀ inĀ decimals:
JustĀ like inĀ wholeĀ numbers,Ā decimalĀ numbersĀ alsoĀ haveĀ placeĀ values.
6.782 = 6 + 7/10 + 8/100 + 2/1000.
UnderstandingĀ decimalĀ places:
1stĀ placeĀ after theĀ decimalĀ – TENTHS (Example: 0.1)
2ndĀ placeĀ after theĀ decimalĀ – HUNDREDTHS (Example: 0.01)
3rdĀ placeĀ after the decimal – THOUSANDTHS (Example: 0.001)
DecimalsĀ andĀ fractions:
DecimalsĀ are anotherĀ wayĀ toĀ writeĀ fractions!
Example: 1/2 = 0.5 |Ā Example: 3/4 = 0.75
OperatingĀ withĀ decimals:
Addition,Ā subtraction,Ā multiplication, andĀ divisionĀ ofĀ decimalsĀ areĀ similarĀ to theirĀ wholeĀ numberĀ counterparts.
Conversion betweenĀ fractionsĀ andĀ decimals:
Decimal to fraction: 0.25 = 25/100 = 1/4
Fraction to decimal: 1/2 = 0.5