Show That If A, B, K and M Are Integers $$k \geq 1 , m \geq 2 , \text { and } a \equiv b ( \bmod m ) , \text { then } k a \equiv k b$$

question 105

Short Answer

Show that if a, b, k and m are integers such that $$k \geq 1 , m \geq 2 , \text { and } a \equiv b ( \bmod m ) , \text { then } k a \equiv k b$$ (mod m).

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Definitions:

Nominal GDP

The total market value of all final goods and services produced within a country in a given period, measured using current prices without adjustment for inflation.

Real GDP

The measure of a nation's total economic output adjusted for price changes and inflation, representing the actual value of goods and services.

Price Indexes

Statistical measures reflecting the average change over time in the prices paid by consumers or received by producers for goods and services.

Nominal GDP

The market value of all goods and services produced in a country in a given period, measured using current prices, without adjusting for inflation.