Question

1. complete the chart below by noting each number in its alternate form. (6 marks)

ordinary notation	scientific notation	engineering notation
0.01278
		85.2×10⁻³

Explanation:

Step1: Convert scientific notation to ordinary notation

For $3.70\times 10^{6}$, move the decimal point 6 places to the right. So the ordinary - notation is $3700000$. Engineering notation has the exponent as a multiple of 3. So for $3.70\times 10^{6}$, it remains $3.70\times 10^{6}$ in engineering notation.

Step2: Convert ordinary notation to scientific and engineering notation

For $0.01278$, in scientific notation, we move the decimal point 2 places to the right, getting $1.278\times 10^{-2}$. In engineering notation, we rewrite it as $12.78\times 10^{-3}$ since we want the exponent to be a multiple of 3.

Step3: Convert engineering notation to ordinary and scientific notation

For $85.2\times 10^{-3}$, in ordinary notation, we move the decimal point 3 places to the left, getting $0.0852$. In scientific notation, we rewrite it as $8.52\times 10^{-2}$.

Answer:

Ordinary Notation	Scientific Notation	Engineering Notation
$0.01278$	$1.278\times 10^{-2}$	$12.78\times 10^{-3}$
$0.0852$	$8.52\times 10^{-2}$	$85.2\times 10^{-3}$