/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 13 Write each of the following numb... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 13

Write each of the following numbers in standard scientific notation. a. \(1 / 1033\) b. \(1 / 10^{5}\) c. \(1 / 10^{-7}\) d. \(1 / 0.0002\) e. \(1 / 3,093,000\) f. \(1 / 10^{-4}\) g. \(1 / 10^{9}\) h. \(1 / 0.000015\)

Short Answer

Expert verified
a. \(9.68 \times 10^{-3}\) b. \(10^{-5}\) c. \(10^{7}\) d. \(5 \times 10^3\) e. \(3.235 \times 10^{-7}\) f. \(10^{4}\) g. \(10^{-9}\) h. \(6.67 \times 10^4\)

Step by step solution

01

a. \(1/1033\)

To write this number in scientific notation, we can divide 1 by 1033. When we do that, we get approximately 0.000968. To convert this to scientific notation, we can move the decimal point three places to the right, which will give us 9.68. Then, we multiply it by \(10^{-3}\) which gives us \(9.68 \times 10^{-3}\).
02

b. \(1/10^5\)

We know that \(1/10^5 = 10^{-5}\), so the scientific notation for this number is already given: \(10^{-5}\).
03

c. \(1/10^{-7}\)

When dividing by 10 raised to a negative power, we can change the exponent to a positive value. Therefore, \(1/10^{-7} = 10^{7}\).
04

d. \(1/0.0002\)

To rewrite this fraction in scientific notation, we can divide 1 by 0.0002, which gives us 5000. This can be written as \(5 \times 10^3\).
05

e. \(1/3,093,000\)

First, we convert the fraction to decimal: \(1/3,093,000 \approx 0.0000003235\). Now, we can rewrite this decimal in scientific notation: \(3.235 \times 10^{-7}\).
06

f. \(1/10^{-4}\)

Following the same procedure as the previous parts, we get: \(1/10^{-4} = 10^{4}\).
07

g. \(1/10^{9}\)

We already have this number in scientific notation: \(10^{-9}\).
08

h. \(1/0.000015\)

To rewrite this fraction in scientific notation, we can divide 1 by 0.000015, which gives us approximately 66666.67. This can be written as \(6.67 \times 10^4\). In conclusion, here are the numbers rewritten in standard scientific notation: a. \(9.68 \times 10^{-3}\) b. \(10^{-5}\) c. \(10^{7}\) d. \(5 \times 10^3\) e. \(3.235 \times 10^{-7}\) f. \(10^{4}\) g. \(10^{-9}\) h. \(6.67 \times 10^4\)

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

For each of the following numbers, if the number is rewritten in scientific notation, will the exponent be positive, negative, or zero? a. 4,915,442 b. \(1 / 1000\) c. 0.001 d. 3.75

Make the following temperature conversions: a. \(-210^{\circ} \mathrm{C}\) to kelvins b. \(275 \mathrm{K}\) to \(^{\circ} \mathrm{C}\) c. \(0^{\circ} \mathrm{C}\) to kelvins d. \(298.1 \mathrm{K}\) to \(^{\circ} \mathrm{C}\)

Evaluate each of the following, and write the answer to the appropriate number of significant figures. a. \(149.2+0.034+2000.34\) b. \(1.0322 \times 10^{3}+4.34 \times 10^{3}\) c. \(4.03 \times 10^{-2}-2.044 \times 10^{-3}\) d. \(2.094 \times 10^{5}-1.073 \times 10^{6}\)

On the planet Xgnu, the natives have 14 fingers. On the official Xgnuese temperature scale ( \(^{\circ} \mathrm{X}\) ), the boiling point of water (under an atmospheric pressure similar to Earth's) is \(140^{\circ} \mathrm{X},\) whereas it freezes at \(14^{\circ} \mathrm{X}\). Derive the relationship between \(^{\circ} \mathrm{X}\) and \(^{\circ} \mathrm{C}\).

Perform each of the following conversions, being sure to set up clearly the appropriate conversion factor in each case. a. \(254.3 \mathrm{g}\) to kilograms b. \(2.75 \mathrm{kg}\) to grams c. \(2.75 \mathrm{kg}\) to pounds d. \(2.75 \mathrm{kg}\) to ounces e. \(534.1 \quad \mathrm{g}\) to pounds f. 1.75 lb to grams g. 8.7 oz to grams h. \(45.9 \mathrm{g}\) to ounces
See all solutions

Recommended explanations on Chemistry Textbooks

Making Measurements

Read Explanation

Kinetics

Read Explanation

Ionic and Molecular Compounds

Read Explanation

The Earths Atmosphere

Read Explanation

Physical Chemistry

Read Explanation

Nuclear Chemistry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.