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Chapter 1: Problem 23

What exponential notation do the following abbreviations (e) \(\mathrm{M},(\mathrm{f}) \mathrm{k},(\mathrm{g}) \mathrm{n},(\mathrm{h}) \mathrm{m}\) represent: (a) \(\mathrm{d},(\mathbf{b}) \mathrm{c},(\mathrm{c}) \mathrm{f},(\mathrm{d}) \mu\) (i) p?

Short Answer

Expert verified
The exponential notations for the given abbreviations are: (a) d: \(10^{-1}\) (b) c: \(10^{-2}\) (c) f: \(10^{-15}\) (d) µ: \(10^{-6}\) (e) M: \(10^{6}\) (f) k: \(10^{3}\) (g) n: \(10^{-9}\) (h) m: \(10^{-3}\) (i) p: \(10^{-12}\)

Step by step solution

01

(a) d

The abbreviation 'd' stands for deci, which means one-tenth of a unit. In exponential notation, this is represented as \(10^{-1}\).
02

(b) c

The abbreviation 'c' represents centi, which means one-hundredth of a unit. In exponential notation, this is represented as \(10^{-2}\).
03

(c) f

The abbreviation 'f' indicates femto, which represents one trillionth of a unit. In exponential notation, this is represented as \(10^{-15}\).
04

(d) µ

The abbreviation 'µ' stands for micro, which means one millionth of a unit. In exponential notation, this is represented as \(10^{-6}\).
05

(e) M

The abbreviation 'M' represents mega, which indicates one million of a unit. In exponential notation, this is represented as \(10^{6}\).
06

(f) k

The abbreviation 'k' indicates kilo, which means one thousand of a unit. In exponential notation, this is represented as \(10^{3}\).
07

(g) n

The abbreviation 'n' stands for nano, which means one billionth of a unit. In exponential notation, this is represented as \(10^{-9}\).
08

(h) m

The abbreviation 'm' represents milli, which means one-thousandth of a unit. In exponential notation, this is represented as \(10^{-3}\).
09

(i) p

The abbreviation 'p' stands for pico, which indicates one trillionth of a unit. In exponential notation, this is represented as \(10^{-12}\). Here is the summary of the given abbreviations and their exponential notations: (a) d: \(10^{-1}\) (b) c: \(10^{-2}\) (c) f: \(10^{-15}\) (d) µ: \(10^{-6}\) (e) M: \(10^{6}\) (f) k: \(10^{3}\) (g) n: \(10^{-9}\) (h) m: \(10^{-3}\) (i) p: \(10^{-12}\)

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Most popular questions from this chapter

What is the number of significant figures in each of the following measured quantities? (a) \(601 \mathrm{~kg}\), (b) \(0.054 \mathrm{~s}\), (c) \(6.3050 \mathrm{~cm}\), (d) \(0.0105 \mathrm{~L}\) (e) \(7.0500 \times 10^{-3} \mathrm{~m}^{3}\) (f) \(400 \mathrm{~g}\).

In 2009 , a team from Northwestern University and Western Washington University reported the preparation of a new "spongy" material composed of nickel, molybdenum, and sulfur that excels at removing mercury from water. The density of this new material is \(0.20 \mathrm{~g} / \mathrm{cm}^{3}\), and its surface area is \(1242 \mathrm{~m}^{2}\) per gram of material. (a) Calculate the volume of a 10.0 -mg sample of this material. (b) Calculate the surface area for a 10.0 \(\mathrm{mg}\) sample of this material. (c) A \(10.0-\mathrm{mL}\) sample of contaminated water had \(7.748 \mathrm{mg}\) of mercury in it. After treatment with \(10.0 \mathrm{mg}\) of the new spongy material, \(0.001 \mathrm{mg}\) of mercury remained in the contaminated water. What percentage of the mercury was removed from the water? (d) What is the final mass of the spongy material after the exposure to mercury?

What type of quantity (for example, length, volume, density) do the following units indicate: (a) \(\mathrm{mL},(\mathbf{b}) \mathrm{cm}^{2},(\mathrm{c}) \mathrm{mm}^{3}\) (d) \(\mathrm{mg} / \mathrm{L},(\mathrm{e}) \mathrm{ps},(\mathrm{f}) \mathrm{nm},(\mathrm{g}) \mathrm{K} ?\)

Classify each of the following as a pure substance or a mixture. If a mixture, indicate whether it is homogeneous or heterogeneous: (a) rice pudding, (b) seawater, (c) magnesium, (d) crushed ice.

Use appropriate metric prefixes to write the following measurements without use of exponents: (a) \(2.3 \times 10^{-10} \mathrm{~L}\) (b) \(4.7 \times 10^{-6} \mathrm{~g}\), (c) \(1.85 \times 10^{-12} \mathrm{~m}\) (d) \(16.7 \times 10^{6} \mathrm{~s}\); (e) \(15.7 \times 10^{3} \mathrm{~g}\) (f) \(1.34 \times 10^{-3} \mathrm{~m},(\mathrm{~g}) 1.84 \times 10^{2} \mathrm{~cm}\)
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