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Solve the following problems · Q30

Q.Express the quantities in above (B) with or without exponents as the case may be.

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✓ Free question

a. 1.230×1041.230 \times 10^4 without exponent — ordinary form 12300, though only the exponential form 1.230×1041.230\times10^4 unambiguously preserves all 4 significant figures.

b. 0.002030 with exponent — 2.030×10−32.030 \times 10^{-3}.

c. 1.23×1041.23 \times 10^4 without exponent — ordinary form 12300 (this looks identical to (a) in plain decimal form, which is exactly why scientific notation is preferred whenever the number of significant figures must be unambiguous — 12300 alone cannot show whether it means 3 or 4 sig figs).

d. 1.89×10−41.89 \times 10^{-4} without exponent — 0.000189.

✓Final answer

a. 12300 (best written as 1.230×1041.230\times10^4) b. 2.030×10−32.030\times10^{-3} c. 12300 (best written as 1.23×1041.23\times10^4) d. 0.000189

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