Question

question 3 (1 point)
a useful method of expressing very small or very large numbers is
scientific notation.
arabic numerals.
the metric system.
roman numerals.
question 4 (1 point)
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.

Explanation:

Question 3

• Scientific notation is a way to express numbers as \(a\times10^{n}\) where \(1\leqslant|a|\lt10\) and \(n\) is an integer. It is very useful for very large (e.g., \(3\times 10^{8}\) for the speed of light) or very small (e.g., \(2\times10^{- 18}\) for some atomic - scale measurements) numbers.
• Arabic numerals (\(0,1,2,\cdots,9\)) are just the symbols used to write numbers in the common decimal system.
• The metric system is a system of measurement (e.g., meters for length, kilograms for mass).
• Roman numerals (I, II, III, IV, V, etc.) are an ancient number - writing system and are not convenient for very large or very small numbers.

• The rule for significant figures in addition and multiplication:
• When adding \(1.125+0.606 = 1.731\), the number of decimal places in \(1.125\) (three decimal places) and \(0.606\) (three decimal places).
• Then multiplying by \(2\) (\(P = 2(l + w)\)), the original numbers \(1.125\) and \(0.606\) have four significant figures each.
• \(1.125+0.606=1.731\), and \(2\times1.731 = 3.462\). Since \(1.125\) and \(0.606\) have four significant figures, the result \(3.462\) should be kept to four significant figures.

Answer:

scientific notation

Question 4