/*! 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 2 Find the number of significant f... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 2

Find the number of significant figures in each number. $$100.810$$

Short Answer

Expert verified
The number 100.810 contains 6 significant figures.

Step by step solution

01

Identify Non- Zero Digits

Firstly, look at the number and identify all non-zero digits. In the number 100.810, the non-zero digits are 1, 8 and 1.
02

Identify Significant Zeros

The zeros in a number can be significant depending on their position. In the number 100.810, zeros that are between other nonzero digits, and those that are at the end of the number, but only if the number contains a decimal point, are considered significant. Therefore, all zeros in our number are significant.
03

Count all Significant Figures

After identifying the significant digits, count them. We have three non-zero digits (1, 8, 1) and three significant zeros. Therefore, the total number of significant figures in 100.810 is 6.

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!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Significant Zeros
In the realm of significant figures, zeros play a crucial role. They help us determine the precision of a number. However, not all zeros are considered significant.
  • Zeros between non-zero digits are always significant because they are in the middle of meaningful numbers. For example, in the number 100.810, the zero between the 1s and 8 is significant.
  • Zeros at the end of a number to the right of a decimal point are significant because they indicate precision. Therefore, in 100.810, the zero at the end holds significance.
  • However, zeros that appear before the first non-zero digit in a decimal number, like in 0.0095, are not significant because they only serve as placeholders.
Recognizing which zeros are significant will improve your accuracy in reading and interpreting numbers.
Non-Zero Digits
Non-zero digits are straightforward when it comes to counting significant figures. These numbers are always considered significant. Let's explore why:
  • Every non-zero digit in a number is automatically significant. This means they inherently carry value and thus contribute to the precision of a number.
  • Take the example of the number 100.810. The digits 1, 8, and 1 are all non-zero, which makes them all significant.
This simplifies things considerably because every time you encounter any digit from 1 to 9, you can conclude that they contribute to the number's significant figures without exception.
Counting Significant Figures
Once you've identified all the non-zero digits and significant zeros in a number, the final step is to count all the significant figures. Here is how you can proceed:
  • Begin by marking all the non-zero digits, since they are always significant.
  • Next, add the zeros that you have determined to be significant either because they are between non-zero digits or at the end of a decimal number.
  • In 100.810, we had three non-zero digits (1, 8, and 1) and three significant zeros, making a total of 6 significant figures.
By following these steps, you ensure that you're accurately accounting for all the relevant significant figures in any given number.

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

Check tohether the indicated value of the independent eariable satisfies the given inequality. Value: \(t=\sqrt{2} ;\) Inequality: \(5>-t-1\)

The total cost of a certain type of laptop computer ranges from \(\$ 1200\) to \(\$ 2000 .\) The total cost includes a sales tax of \(6 \% .\) Set up and solve an inequality to find the range of prices for the laptop before tax.

This set of exercises will draw on the ideas presented in this section and your general math background. Explain why the expression " \(x > 3\) or \(x < -2 "\) cannot be written as \(3

This set of exercises will draw on the ideas presented in this section and your general math background. Does the following table of values represent a situation involving direct variation? Explain. $$\begin{array}{|c|c|} \hline x & y \\ \hline 0 & 0 \\ 1 & 6 \\ 2 & 12 \\ \hline \end{array}$$

Let \(g(t)=m t+b .\) Find \(m\) and \(b\) such that \(g(1)=4\) and \(g(3)=4 .\) Write an expression for \(g(t) .\) (Hint: Start by using the given information to write down the coordinates of two points that satisfy \(g(t)=m t+b .\) )
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation

Geometry

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.