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Chapter 1: Problem 49

Carry out the following operations and express the answers with the appropriate number of significant numbers. (a) \(43.029+0.02348\) (b) \(952.72-73.4201\) (c) \(\left(2.93 \times 10^{3}\right)(0.732)\) (d) \(0.06324 / 0.624\)

Short Answer

Expert verified
(a) 43.053 (b) 879.30 (c) \(2.14 \times 10^{3}\) (d) 0.1013

Step by step solution

01

(a) Addition (43.029 + 0.02348)

To add these two numbers, line up the decimals and perform the usual addition. Don't forget, when completing the operation, to round the final result to the lowest number of decimal places of the given numbers. In this case, we have: 43.029 + 0.02348 ---------- 43.05248 Now, we need to round this number to 3 decimal places, as 43.029 has the least number of decimal places (3). So, the final answer for (a) is: 43.053
02

(b) Subtraction (952.72 - 73.4201)

Similarly, for subtraction, align the decimals and subtract. After performing the subtraction, round the final result to the least number of decimal places from the given numbers. We have: 952.72 - 73.4201 ---------- 879.2999 Now, round the result to 2 decimal places, as 952.72 has the least number of decimal places (2). So, the final answer for (b) is: 879.30
03

(c) Multiplication (2.93 * 10^3)(0.732)

For this part, first, convert the number in scientific notation to the standard form. Then, perform the multiplication and round off the result to the least number of significant figures from the given numbers. So we have: (2.93 * 10^3)(0.732) = 2930(0.732) = 2143.76 Now, round the result to 2 significant figures, as 0.732 has the least number of significant figures (3). The final answer for (c) is: 2.14 * 10^3
04

(d) Division (0.06324 / 0.624)

For division, perform the division operation, and then round off the result to the least number of significant figures from the given numbers. We have: 0.06324 / 0.624 = 0.101346153846 Now, round the result to 4 significant figures, as 0.06324 has the least number of significant figures (4). The final answer for (d) is: 0.1013

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Most popular questions from this chapter

Identify each of the following as measurements of length, area, volume, mass, density, time, or temperature: (a) \(25 \mathrm{ps}\), (b) \(374.2 \mathrm{mg}\) (c) \(77 \mathrm{~K}\) (d) \(100,000 \mathrm{~km}^{2}\) (e) \(1.06 \mu \mathrm{m}\) (f) \(16 \mathrm{nm}^{2},(\mathrm{~g})-78^{\circ} \mathrm{C}\) (h) \(2.56 \mathrm{~g} / \mathrm{cm}^{3}\) (i) \(28 \mathrm{~cm}^{3}\). [Section \(\left.1.5\right]\)

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