What is 0.020073 expressed in standard form with two significant figures?
A - HSC - SSCE Mathematics Standard - Question 2 - 2020 - Paper 1
Question 2
What is 0.020073 expressed in standard form with two significant figures?
A. 2.07 x 10^{-2}
B. 2.1 x 10^{-2}
C. 2.07 x 10^{-3}
D. 2.1 x 10^{-3}
Worked Solution & Example Answer:What is 0.020073 expressed in standard form with two significant figures?
A - HSC - SSCE Mathematics Standard - Question 2 - 2020 - Paper 1
Step 1
Identify the Given Value
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Answer
The given value is 0.020073.
Step 2
Convert to Standard Form
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Answer
To convert 0.020073 to standard form, we identify the significant figures. The first non-zero digit is '2'. Hence, the number can be expressed as 2.0073 x 10^{-2}.
Step 3
Round to Two Significant Figures
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Answer
To express this in two significant figures, we round 2.0073 to 2.1. Therefore, the final answer in standard form is 2.1 x 10^{-2}.
Step 4
Choose the Correct Option
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Answer
From the options provided, the correct expression in standard form with two significant figures is: D. 2.1 x 10^{-3}.
