Question

CALCULATOR Use a calculator to evaluate the expression. Write the result in scientific notation and in decimal form. $$ 2,000,000 \cdot 12,000 $$

Short answer

The result in scientific notation is \(2.4 \times 10^{10}\) and in decimal form is \(24,000,000,000\).

Step-by-step solution

Convert each number to scientific notation

First, convert \(2,000,000\) and \(12,000\) into scientific notation. \(2,000,000\) can be written as \(2 \times 10^6\) and \(12,000\) as \(1.2 \times 10^4\).

Multiply the base numbers and the powers

Now, multiply the base numbers (2 and 1.2) and then add the exponents of ten together (6 and 4). This gives \(2.4 \times 10^{10}\).

Convert the scientific notation to decimal form

Finally, convert the scientific notation to decimal form. This gives \(24,000,000,000\).