49.564 = (4 x 10) + (9 x 1) + (5/10) + (6/100) + (4/1000)
An integer is a whole number without decimals or fractions
Not all decimals can be expressed as fractions. Only terminating and recurring decimals can be expressed as fractions. eg a recurring decimal: 0.3333333... = 1/3 A terminating decimal: 0.125 = 1/8 A decimal that does not recurr or terminate, cannot be expressed as a fraction. eg Pi = 3.141592654... Pi can not be expressed as a fraction as it does not recurr or terminate. It can only be approximated to a fraction. eg Pi ≈ 355/113 but is correct to 6 decimal places.
Whether fractions work better than decimals or less as well is very much a question of your preference.
An equivalent decimal for 0.6 is 0.60. When adding a zero to the end of a decimal number without changing its value, it remains equivalent. This is because the zero represents a placeholder and does not affect the overall value of the number.
To write decimal 0.24 in expanded form, you would express it as the sum of its place values. In this case, 0.24 can be expanded as (2 x 0.1) + (4 x 0.01). This breaks down the decimal number into its individual digits multiplied by their respective place values.
The Arabs wished to express quantities that were not whole numbers. As to why they used fractions as opposed to decimals for this, that was owing to the fact that they had not invented decimals yet.
An integer is a whole number without decimals or fractions
Not all decimals can be expressed as fractions. Only terminating and recurring decimals can be expressed as fractions. eg a recurring decimal: 0.3333333... = 1/3 A terminating decimal: 0.125 = 1/8 A decimal that does not recurr or terminate, cannot be expressed as a fraction. eg Pi = 3.141592654... Pi can not be expressed as a fraction as it does not recurr or terminate. It can only be approximated to a fraction. eg Pi ≈ 355/113 but is correct to 6 decimal places.
Whether fractions work better than decimals or less as well is very much a question of your preference.
They Are both ways to express partial #'s
It is: 3/10 expressed as a decimal is 0.3
fraction and decimals are both have similarities because they both express part of a whole.
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You can use fractions in metric conversions; however, it's often simpler to work with whole numbers and decimals to avoid confusion. The metric system is based on powers of ten, which allows for straightforward conversions by moving the decimal point. While fractions can be used, they may complicate calculations and lead to errors. For clarity and ease, many prefer to express metric conversions using decimals.
eighty one hundredths = 0.81 in decimals
The fraction 1/3=0.3333333... In this case it is better to use fractions just like in all cases. There will be no case when decimals will work better than fractions however, if a test says to use decimals; USE THEM!
As long as you are expressing those fractions in tenths, yes.