Question

DECIMAL FORM Rewrite in decimal form. $$ 4.332 \times 10^{8} $$

Short answer

The decimal form of \( 4.332 \times 10^{8} \) is 433200000.0.

Step-by-step solution

Identify the base and exponent

In the given scientific notation, 4.332 is the base and 8 is the exponent. This means \( 4.332 \times 10^{8} \).

Expand the scientific notation using exponent rule

According to exponent rule, multiplying a number by \( 10^{n} \) simply moves the decimal point of the number n places to the right. Therefore, here, the 8 in \( 10^{8} \) is indicating that the decimal of the base number (4.332) needs to be moved 8 places to the right.

Convert the scientific notation to a decimal number

By moving the decimal point to the right 8 times, we get the decimal form of the given scientific notation. But along the way, we must add zeros in any empty spaces that we have created by moving the decimal.