rational numbers

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MTE 280 MINDMAP

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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