Question

convert to scientific notation: 150,100,000 ug report answer in scientific notation with correct significant digits and unit

Explanation:

Step1: Identify significant digits

The number 150,100,000 has significant digits 1, 5, 0, 1 (wait, no—wait, 150,100,000: the non - zero digits and the zero between non - zeros are significant. So 1, 5, 0, 1? Wait, no, let's count. 150,100,000: the first non - zero is 1, then 5, then 0 (between 1 and 1), then 1, and the trailing zeros? Wait, no, trailing zeros in a whole number without a decimal are ambiguous, but here we have 150,100,000. So the significant digits are 1, 5, 0, 1? Wait, no, actually, when we have 150100000, the significant figures: the 1,5,0,1 are significant (because the zero is between two non - zero digits). So we have four significant digits? Wait, no, 150,100,000: let's write it as 1.501×10^8? Wait, no, let's do the scientific notation.

Scientific notation is \(a\times10^{n}\), where \(1\leq a<10\) and \(n\) is an integer.

Step2: Convert to scientific notation

First, move the decimal point to the left until we have a number between 1 and 10. For 150,100,000, moving the decimal point 8 places to the left gives 1.501. So \(150100000 = 1.501\times10^{8}\). And the unit is \(\mu g\) (ug).

Answer:

\(1.501\times 10^{8}\ \mu g\)