Question 1:
Express the following numbers in standard form.
Express the following numbers in standard form.
Answer:
(i) \(0.0000000000085 = 8.5 × 10^{−12}\)
(ii) \(0.00000000000942 = 9.42 × 10^{−12}\)
(iii) \(6020000000000000 = 6.02 × 10^{15}\)
(iv) \(0.00000000837 = 8.37 × 10^{−9}\)
(v) \(31860000000 = 3.186 × 10^{10}\)
Question 2:
Express the following numbers in usual form.
Answer:
(i) \(3.02 × 10^{−6} = 0.00000302\)
(ii) \(4.5 × 10^{4}= 45000\)
(iii) \(3 × 10^{−8} = 0.00000003\)
(iv) \(1.0001 × 10^{9} = 1000100000\)
(v) \(5.8 × 10^{12} = 5800000000000\)
(vi) \(3.61492 × 10^{6} = 3614920\)
Question 3:
Express the number appearing in the following statements in standard form.
(i) 1 micron is equal to m= \(1 × 10^{-6}\)
(ii) Charge of an electron is \(0.000, 000, 000, 000, 000, 000, 16\) coulomb \(= 1.6 × 10^{-19}\)
(iii) Size of a bacteria is \(0.0000005\) m= \(5 × 10^{-7}\)
(iv) Size of a plant cell is \(0.00001275\) m = \(1.275 × 10^{-5}\)
(v) Thickness of a thick paper is \(0.07\) mm \(= 7 × 10^{-2}\)
Question 4:
In a stack there are 5 books each of thickness 20 mm and 5 paper sheets each of thickness 0.016 mm. What is the total thickness of the stack?
Answer:
Thickness of each book \(= 20\) mm
Hence, thickness of \(5\) books \(= (5 × 20)\) mm = \(100\) mm
Thickness of each paper sheet = \(0.016\) mm
Hence, thickness of \(5\) paper sheets = \((5 × 0.016)\) mm \(= 0.080\) mm
Total thickness of the stack = Thickness of \(5\) books + Thickness of \(5\) paper sheets
\(= (100 + 0.080)\) mm
\(= 100.08\) mm
\(= 1.0008 × 10^2\) mm
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