Question

perform this calculation and express the result in scientific notation.
4.37
× 1.88 × 10⁶
? × 10?

Explanation:

Step1: Multiply the non - power - of - 10 parts

Multiply \(4.37\) and \(1.88\).
\(4.37\times1.88=(4 + 0.37)\times(1+0.88)=4\times1+4\times0.88+0.37\times1+0.37\times0.88=4 + 3.52+0.37+0.3256 = 8.2156\)

Step2: Multiply the powers of 10

According to the rule \(a^m\times a^n=a^{m + n}\), when we multiply by \(10^6\) (since there is no other power of 10 factor explicitly written for \(4.37\), we can consider \(4.37=4.37\times10^0\)), \(10^0\times10^6=10^{0 + 6}=10^6\)

Step3: Combine the results

The product is \(8.2156\times10^6\)

Answer:

\(8.2156\times10^6\)