Express 16 54 x 10 -5 - 6 76 x 10 -8 0 23 x 10 ... - JAMB Mathematics 2023 Question

To express \(16.54 \times 10^{-5} - 6.76 \times 10^{-8} + 0.23 \times 10^{-6}\) in standard form, we need to perform the arithmetic and then rewrite the result in standard form.

\[16.54 \times 10^{-5} - 6.76 \times 10^{-8} + 0.23 \times 10^{-6}\]

First, combine the like terms:

\[= 16.54 \times 10^{-5} + 0.23 \times 10^{-6} - 6.76 \times 10^{-8}\]

Now, let's add the coefficients:

\[= (16.54 + 0.23) \times 10^{-5} - 6.76 \times 10^{-8}\]

\[= 16.77 \times 10^{-5} - 6.76 \times 10^{-8}\]

Now, rewrite in standard form:

\[= 1.677 \times 10^{-4} - 6.76 \times 10^{-8}\]

Since the second term is much smaller than the first term, we can disregard it for the purpose of expressing the result in standard form.

Therefore, the expression \(16.54 \times 10^{-5} - 6.76 \times 10^{-8} + 0.23 \times 10^{-6}\) in standard form is approximately \(1.677 \times 10^{-4}\).

So, the correct answer is \(1.66 \times 10^{-4}\)