Question

convert the following number into correct scientific notation.
1602.4 × 10⁵
? × 10^?
enter the coefficient in the green box and the exponent in the yellow box.

Explanation:

Step1: Adjust the coefficient

To get a coefficient between 1 and 10, we rewrite 1602.4 as \(1.6024\times10^{3}\).

Step2: Multiply with the existing power of 10

We have \(1602.4\times10^{5}=(1.6024\times10^{3})\times10^{5}\). Using the rule of exponents \(a^{m}\times a^{n}=a^{m + n}\), we add the exponents: \(10^{3}\times10^{5}=10^{3 + 5}=10^{8}\). So the number in scientific notation is \(1.6024\times10^{8}\).

Answer:

Coefficient: \(1.6024\), Exponent: \(8\)