Question

question 2 (1 point) ✓ saved
the length and width of a rectangle are 1.125 m and 0.606 m, respectively. you calculate the rectangles perimeter by adding these and multiplying by two. your calculators display reads 3.462. to the correct number of significant figures, this should be written as
3.5 m.
3.46 m.
3.462 m.
3.4620 m.
question 3 (1 point)
what is the result of (0.410 + 0.021) × (2.20 × 10^3)?
880
946
948
950

Explanation:

Step1: Calculate the sum inside the parentheses

For \((0.410 + 0.021)\), we have \(0.410+0.021 = 0.431\).

Step2: Analyze significant figures for addition

In addition, the result should be rounded to the least number of decimal places. Here, \(0.410\) has three decimal - places and \(0.021\) has three decimal - places. So \(0.431\) (three decimal - places) is correct for the sum.

Step3: Analyze significant figures for multiplication

For \(0.431\times(2.20\times10^{3})\). The rule for multiplication is that the result should be rounded to the least number of significant figures. \(0.431\) has three significant figures and \(2.20\) has three significant figures.

$$0.431\times2.20\times10^{3}=(0.431\times2.20)\times10^{3}$$

$$0.431\times2.20 = 0.9482$$

$$0.9482\times10^{3}=948.2$$

Since we need to consider significant figures (three significant figures), \(948.2\approx948\)

Answer:

948