Question

turn the following into scientific notation: 0.000745 = your answer turn the following into scientific notation: 0.056 = your answer turn the following into scientific notation: 0.113 your answer turn the following into scientific notation:

Explanation:

Step1: Recall scientific - notation form

Scientific notation is \(a\times10^{n}\), where \(1\leqslant|a|\lt10\) and \(n\) is an integer.

Step2: Convert 0.000745

Move the decimal point 4 places to the right to get \(a = 7.45\) and \(n=-4\), so \(0.000745 = 7.45\times10^{-4}\).

Step3: Convert 0.056

Move the decimal point 2 places to the right to get \(a = 5.6\) and \(n=-2\), so \(0.056=5.6\times 10^{-2}\).

Step4: Convert 0.113

Move the decimal point 1 place to the right to get \(a = 1.13\) and \(n=-1\), so \(0.113 = 1.13\times10^{-1}\).

Answer:

0.000745: \(7.45\times10^{-4}\)
0.056: \(5.6\times10^{-2}\)
0.113: \(1.13\times10^{-1}\)