Question

The population of Florida was recently recorded as 20,612,439 people. Write an estimation in scientific notation for the population.about __ people

Answer 1

The scientific notation is a way of representing numbers that are either too large, or too small.

The scientific notation of the population is: $\mathbf{Population = 2.1 \times 10^7}$

The population is given as:

$\mathbf{Population = 20612439}$

Multiply the population by 1

$\mathbf{Population = 20612439 \times 1}$

Express 1 as$\mathbf{\frac{10000000}{10000000}}$

So, we have:

$\mathbf{Population = 20612439 \times \frac{10000000}{10000000}}$

Rewrite as:

$\mathbf{Population = \frac{20612439}{10000000} \times 10000000}$

Divide

$\mathbf{Population = 2.0612439 \times 10000000}$

Express 10000000 as an exponent of base 10

$\mathbf{Population = 2.0612439 \times 10^7}$

Approximate the decimal to the nearest tenth

$\mathbf{Population = 2.1 \times 10^7}$

Hence, the scientific notation of the population is:

$\mathbf{Population = 2.1 \times 10^7}$

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