How to Understand the Real Number Line
Step 1: Distinction Between Rational and Irrational Numbers Rational Numbers (Q): These can be expressed as the quotient or fraction \(\frac{p}{q}\) of two integers, where \(p\) (numerator) and \(q\) (denominator) are integers and \(q≠0\). Examples include \(\frac{1}{2}, 5, -3\), etc. Irrational Numbers: Numbers that can’t be written as simple fractions or ratios. This set includes […]
Stretching the Line: How to Multiply Fractions by Whole Numbers with Number Lines
Quick answer: To multiply a whole number by a fraction on a number line, start at 0 and make equal jumps the size of the fraction, as many jumps as the whole number. Where you land is the product. Example: 3 × ⅖ means three jumps of ⅖, landing on 6/5, or 1⅕. Key takeaways: […]
