Question

1. the diameter of a titanium atom (ti) is 0.294 nm. express this measurement in scientific notation using meters.

a. 2.94 × 10⁻¹⁰ m
b. 2.94 × 10⁻⁹ m
c. 29.4 × 10⁻⁸ m
d. 2.94 × 10⁹ m

Explanation:

Step1: Recall nm to m conversion

We know $1\ \text{nm} = 10^{-9}\ \text{m}$

Step2: Substitute the given value

Multiply the given diameter by the conversion factor:
$0.294\ \text{nm} = 0.294 \times 10^{-9}\ \text{m}$

Step3: Convert to proper scientific notation

Rewrite $0.294$ as $2.94 \times 10^{-1}$, then combine exponents:
$2.94 \times 10^{-1} \times 10^{-9}\ \text{m} = 2.94 \times 10^{-10}\ \text{m}$

Answer:

a. $2.94 \times 10^{-10}\ \text{m}$