Kategoriak: All - operations - fractions - rational - properties

arabera natanim girum 7 months ago

116

rational numbers

Rational numbers have unique properties and play a significant role in mathematics. They are defined as numbers that can be expressed as fractions, terminating decimals, or repeating decimals and can be positive, negative, or zero.

rational numbers

rational numbers

Real-life applications of rational numbers

Scaling
Using rational numbers to scale models or maps
Probability
Expressing probabilities as rational numbers
Finance
Calculating interest rates and percentages using rational numbers
Measurement
Converting between units using rational numbers

Converting rational numbers between forms

Converting mixed numbers to fractions
Multiplying the whole number part by the denominator and adding the numerator
Converting fractions to mixed numbers
Dividing the numerator by the denominator and writing the quotient as the whole number part and the remainder as the fractional part
Converting decimals to fractions
Writing the decimal as a fraction with a power of 10 as the denominator
Converting fractions to decimals
Dividing the numerator by the denominator

Properties of rational numbers

Inverse property
The product of any rational number and its multiplicative inverse is 1
The sum of any rational number and its additive inverse is 0
Identity property
The product of any rational number and 1 is the original number
The sum of any rational number and 0 is the original number
Commutative property
Changing the order of rational numbers does not affect the result of addition or multiplication
Associative property
Changing the grouping of rational numbers does not affect the result of addition or multiplication
Closure property
Adding or multiplying two rational numbers results in a rational number

Operations with rational numbers

Multiplication and division of rational numbers
Multiplying and dividing decimals
Multiplying and dividing fractions
Addition and subtraction of rational numbers
Adding and subtracting decimals
Adding and subtracting fractions

Defining rational numbers

Characteristics of rational numbers
Can be positive

or zero

negative

Can be expressed as a terminating or repeating decimal
Can be expressed as a fraction
Definition of rational numbers

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