three ways to measure GDP
Picture a pizza shop selling a pizza for 10 dollars. You can describe that single transaction in three different ways and always land on the same 10. You can say the shop produced 10 dollars of pizza (what was made). You can say 10 dollars of income went to the owner, the workers, and the suppliers (who earned it). Or you can say a customer spent 10 dollars (who bought it). Every dollar of output is somebody's income and somebody's spending. That simple truth is why GDP can be measured in three ways that should all give the same answer.
The output approach (also called the production or value-added approach) adds up the value added by every firm: each business's sales minus what it bought from other firms, so nothing is double-counted. The income approach adds up all the incomes earned in production: wages to workers, rent to landlords, interest to lenders, and profit to owners. The expenditure approach adds up all final spending using the famous formula C plus I plus G plus NX, meaning consumption plus investment plus government spending plus net exports. Because output equals income equals expenditure by definition, the three should match. In real life they differ a little because the data come from different surveys, and the gap is politely called the statistical discrepancy.
This three-sided identity is one of the deep ideas of macroeconomics, because it ties production, paychecks, and shopping into a single loop, the circular flow of income. Statisticians use it as a cross-check: if the three estimates wander far apart, something in the data is wrong. For a learner it is reassuring proof that GDP is not an arbitrary number; it is the same economic pie measured from three different sides.
A baker buys 1 dollar of flour and sells bread for 3 dollars. Output approach: value added is 3 minus 1, so 2 dollars (the farmer separately added the flour's 1 dollar). Income approach: that same 2 dollars became the baker's wages and profit. Expenditure approach: a shopper spent 3 dollars on the final loaf. All three views describe one loaf of bread.
Output, income and expenditure are three views of the same activity.
The three methods agree only in principle. In practice they are built from different data sources, so official figures show a statistical discrepancy and may be revised for months or years afterward.