/*! 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 130 Explain how to convert from deci... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 130

Explain how to convert from decimal to scientific notation and give an example.

Short Answer

Expert verified
To convert a decimal number to scientific notation, move the decimal point to the right of the first non-zero digit, count the number of places moved and represent that as a power of 10, considering the original number's size. For 4500, scientific notation is \(4.5 \times 10^3\).

Step by step solution

01

Understand the concept of scientific notation

Scientific notation is a method of writing very large or very small numbers using powers of 10. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
02

Convert the decimal to scientific notation

To convert a number from decimal form to scientific notation, firstly locate the decimal point in the original number. Then shift the decimal point to the right of the first non-zero digit. This forms a number between 1 and 10, considered as \(a\). Count the number of places the decimal point was moved, this is called \(n\). If the original number was less than 1, then \(n\) is negative. If the original number is greater than 1, then \(n\) is positive.
03

Example

Let's consider a number, for example, 4500. Firstly, locate the decimal point, it's at the end of the number (4500.). Next, move the decimal place to the right of the first non-zero digit, making it 4.5. The decimal was moved 3 places to the left, hence \(n=3\). This makes the scientific notation \(4.5 \times 10^3\).

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

Your computer store is having an incredible sale. The price on one model is reduced by \(40 \% .\) Then the sale price is reduced by another \(40 \%\). If \(x\) is the computer's original price, the sale price can be modeled by $$ (x-0.4 x)-0.4(x-0.4 x) $$ a. Factor out \((x-0.4 x)\) from each term. Then simplify the resulting expression. b. Use the simplified expression from part (a) to answer these questions. With a \(40 \%\) reduction followed by a \(40 \%\) reduction, is the computer selling at \(20 \%\) of its original price? If not, at what percentage of the original price is it selling?

Factor out the greatest common factor. $$ 16 x-24 $$

Write English phrase as an algebraic expression. Then simplify the expression. Let \(x\) represent the number. A number decreased by the sum of the number and four

Explain how to factor \(x^{3}+1\)

Why must \(a\) and \(b\) represent non negative numbers when we write \(\sqrt{a} \cdot \sqrt{b}=\sqrt{a b ?}\) Is it necessary to use this restriction in the case of \(\sqrt[3]{a} \cdot \sqrt[3]{b}=\sqrt[3]{a b} ?\) Explain.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Discrete Mathematics

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.