From 1980 to 1990 the population of London increased by 6%. From 1990 to 2000, the population of the city decrease by 3%. What was the overall percentage change in the population of London from 1980 to 2000?

To find the overall percentage change in the population of London from 1980 to 2000, we need to calculate the cumulative effect of both the increase from 1980 to 1990 and the decrease from 1990 to 2000.

Step 1: Calculate the population change from 1980 to 1990.
Given that the population increased by 6% from 1980 to 1990, we can express the population change as a decimal by dividing 6 by 100: 6/100 = 0.06.

Step 2: Calculate the population change from 1990 to 2000.
Given that the population decreased by 3% from 1990 to 2000, we can express the population change as a decimal by dividing 3 by 100: 3/100 = 0.03.

Step 3: Calculate the overall percentage change from 1980 to 2000.
Add the population changes from Step 1 and Step 2: 0.06 + (-0.03) = 0.03.

To convert the decimal to a percentage, multiply by 100: 0.03 * 100 = 3%.

Therefore, the overall percentage change in the population of London from 1980 to 2000 is a decrease of 3%.

1.06 * 0.97 = 1.0282

so, it grew by 2.82%

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