Questions: Carry out each calculation and give the answers using the proper number of significant figures. Part 1 of 2 20.50 × 4.6= Part 2 of 2 0.707 / 18324=

Solution Steps

First, we need to multiply \(20.50\) by \(4.6\).

• \(20.50\) has 4 significant figures.
• \(4.6\) has 2 significant figures.

The result should be rounded to the least number of significant figures, which is 2.

\[ 20.50 \times 4.6 = 94.30 \]

Rounding to 2 significant figures:

\[ 94.30 \approx 94 \]

Next, we need to divide \(0.707\) by \(18324\).

• \(0.707\) has 3 significant figures.
• \(18324\) has 5 significant figures.

The result should be rounded to the least number of significant figures, which is 3.

\[ \frac{0.707}{18324} \approx 3.858 \times 10^{-5} \]

Rounding to 3 significant figures:

\[ 3.858 \times 10^{-5} \approx 3.86 \times 10^{-5} \]

Final Answer