Practice Mathematical Communication in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Mathematical communication is the clear expression of definitions, reasoning, notation, and conclusions.

A good solution should be understandable by someone else, not just by you.

Example 1

easy
Rewrite the following unclear statement into precise mathematical language: 'Adding two things and squaring is not the same as squaring them and adding.'

Example 2

medium
Write a complete, well-structured mathematical proof that 'if n is an even integer, then n^2 is divisible by 4.'

Example 3

easy
Identify what is wrong with the following mathematical communication and rewrite it correctly: 'It's clear that x^2 \ge 0.'

Example 4

medium
Convert the following verbal argument into a formal mathematical proof: 'The product of any three consecutive integers is divisible by 6, because one of them is divisible by 2 and one by 3.'
← Back to Mathematical Communication Worked Examples