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
TL;DR: A number line turns fraction-times-whole-number into a journey of equal jumps. To find \(n\times\tfrac{a}{b}\), draw \(n\) jumps of size \(\tfrac{a}{b}\) starting from 0. Where you land is the answer. \(4\times\tfrac{1}{3}=\tfrac{4}{3}=1\tfrac{1}{3}\). Key takeaways: Multiplying a fraction by a whole number with a number line means taking equal jumps. Jump size = the fraction. Number of […]
