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the correct answer (reported to the proper number of significant figure…

Question

the correct answer (reported to the proper number of significant figures) to the following is:$7.3 \times 4.68 = \underline{\quad\quad}$34.16434.164034.23434.164 multiple choice 2 pointsround the following number to four significant figures and express the result in standard exponential notation:0.00222755$2.228 \times 10^{-3}LXB00.2228 \times 10^{-2}$0.002228$2.228 \times 10^{3}$5 multiple choice 2 pointsconvert 1.5 $\mu$m to meters.$1.5 \times 10^{6}$ m$1.5 \times 10^{-9}$ m$1.5 \times 10^{-6}$ m$1.5 \times 10^{-3}$ m

Explanation:

Step1: Calculate the product

$7.3 \times 4.68 = 34.164$

Step2: Apply sig fig rule (2 sig figs)

Round 34.164 to 2 significant figures: $34$
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Step1: Round to 4 sig figs

0.00222755 rounded to 4 significant figures is 0.002228

Step2: Convert to standard notation

$0.002228 = 2.228 \times 10^{-3}$
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Step1: Use metric conversion factor

$1\ \mu\text{m} = 10^{-6}\ \text{m}$

Step2: Perform unit conversion

$1.5 \times 10^{-6}\ \text{m}$

Answer:

  1. 34
  2. $2.228 \times 10^{-3}$
  3. $1.5 \times 10^{-6}\ \text{m}$