Identify rational numbers

Learning Objectives Define a rational number as a ratio of two integers, p/q, where q is not zero. Identify integers, terminating decimals, and repeating decimals as types of rational numbers. Convert integers and terminating decimals into the fractional form p/q. Differentiate between rational numbers and irrational numbers like π or √2. Explain why a number with a zero in the denominator is undefined and not a rational number. Classify a given number from a set as rational or not. Ever split a pizza or share a bill with friends? 🍕 You're already using rational numbers to make sure everyone gets their fair share! This tutorial will teach you how to identify rational numbers, which are the building blocks of algebra. Understanding them is crucial for working with the...

TermDefinitionExample Rational NumberAny number that can be expressed as a fraction (or ratio) of two integers, p/q, where the denominator 'q' is not equal to zero.3/5, -7 (which is -7/1), 0.5 (which is 1/2) IntegerA whole number that can be positive, negative, or zero. All integers are rational numbers.-10, 0, 25 (can be written as 25/1) Terminating DecimalA decimal number that has a finite number of digits after the decimal point. All terminating decimals are rational.0.75 (which is 3/4) Repeating DecimalA decimal number that has a digit or a block of digits that repeats infinitely. All repeating decimals are rational.0.333... (which is 1/3) Irrational NumberA number that CANNOT be expressed as a simple fraction. Its decimal representation is non-terminating and non-repeating....

The Definition of a Rational Number Q = {p/q | p ∈ Z, q ∈ Z, q ≠ 0} This is the formal definition. It means the set of rational numbers (Q) includes all numbers that can be written as a fraction p/q, where 'p' and 'q' are integers (Z) and 'q' is not zero. Integer as a Rational Number n = n/1 Any integer 'n' can be identified as a rational number because it can be written as a fraction with a denominator of 1. Terminating Decimal to Fraction 0.abc... = abc... / 10^k A terminating decimal can be converted to a fraction. The numerator is the sequence of digits after the decimal point, and the denominator is 1 followed by 'k' zeros, where 'k' is the number of decimal places.