/*! 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 110 What is the number of significan... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 110

What is the number of significant figures in \(5.50 \times 10^{3}\) ? (a) 2 (b) 7 (c) 3 (d) 4

Short Answer

Expert verified
The number of significant figures in \(5.50 \times 10^{3}\) is 3.

Step by step solution

01

Identify the number in scientific notation

In this problem, we have the number \(5.50 \times 10^{3}\) in scientific notation.
02

Count the significant figures in the number

To find the number of significant figures, we will first focus on the digits before the multiplication sign. In this case, we have \(5.50\). There are three significant digits here: \(5\), \(5\), and \(0\) (the last zero is significant because it is after the decimal point).
03

Choose the correct answer

The number of significant figures in the given number is 3. Therefore, the correct answer is (c) 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!

Key Concepts

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

Scientific Notation
Scientific notation is a way of expressing numbers that are too large or too small in a compact form. It is especially useful in scientific and engineering fields. The format involves a number (called the "coefficient") being multiplied by ten raised to an exponent (a power of 10).
  • It simplifies numbers by condensing many zeros into an easier-to-read form.
  • The coefficient must be a number between 1 and 10.
  • The exponent tells you how many places the decimal point moves.
For instance, the number \(5.50 \times 10^{3}\) means that 5.50 is multiplied by 1000 (since \(10^{3} = 1000\)).
This makes the whole number equal to 5500, but its scientific notation is much shorter to write. This notation is prevalent in describing very large figures such as distances between stars or very small figures like the size of a molecule.
Decimal Point Significance
The decimal point plays a crucial role in determining the significance of numbers. In significant figures, zeros placed after a decimal point add precision to a measurement.
  • A zero is considered significant when it is after a decimal point and after a non-zero digit.
  • It provides clarity on the level of accuracy of the measurement.
In numbers like 5.50, the zero after the decimal point is significant. It shows that the measurement has been tested to that specific extent, unlike 5.5, which implies less precision. Such distinction is important in scientific work where precision can influence outcomes or conclusions of experiments.
Counting Significant Digits
Understanding how to count significant digits in a number is essential for scientific clarity. When you are faced with a number, you need to identify which digits convey meaningful information about its precision.
  • All non-zero digits are always considered significant.
  • Zeros between non-zero digits are significant because they are place holders.
  • Zeros that come after the decimal point and after a non-zero digit are significant.
Using these rules on a number like 5.50, we see three significant figures: 5, 5, and the last zero. This precision helps provide clear communication, especially in scientific fields where accuracy is paramount. Counting significant digits ensures that the precision of the measurement reflects the capabilities of the measuring instrument.

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 a sphere having volume is given by \(\mathrm{V}=(4 / 3) \pi \mathrm{r}^{3}\) What is the equation of the relative error \((\Delta \mathrm{V} / \mathrm{V})\) in measurement of the volume \(\mathrm{V}\) ? (a) \(3(\Delta \mathrm{r} / \mathrm{r})\) (b) \(4(\Delta \mathrm{r} / \mathrm{r})\) (c) \((4 / 3)(\Delta \mathrm{r} / \mathrm{r})\) (d) \((1 / 3)(\Delta \mathrm{r} / \mathrm{r})\)

Which physical quantity is represented by \(\mathrm{M}^{-1} \mathrm{~L}^{-3} \mathrm{~T}^{3} \mathrm{~A}^{2}\) ? (a) Resistivity (b) Resistance (c) conductance (d) conductivity

Wave length of light radiation \(0.000015 \mathrm{~m}=\ldots \ldots \ldots \ldots .\) (a) 15 micron (b) \(1.5\) micron (c) 150 micron (d) \(0.15\) micron

Addition of measurement \(15.225 \mathrm{~cm}, 7.21 \mathrm{~cm}\) and \(3.0 \mathrm{~cm}\) in significant figure is \(\ldots \ldots \ldots\) (a) \(25.43 \mathrm{~cm}\) (b) \(25.4 \mathrm{~cm}\) (c) \(25.435 \mathrm{~cm}\) (d) \(25.4350 \mathrm{~cm}\)

Pressure \(P=A \cos B x+c \sin D t\) where \(x\) in meter and \(t\) in time then find dimensional formula of \(\mathrm{D} / \mathrm{B}\) (a) \(\mathrm{M}^{1} \mathrm{~L}^{1} \mathrm{~T}^{-1}\) (b) \(\mathrm{M}^{0} \mathrm{~L}^{1} \mathrm{~T}^{-1}\) (c) \(\mathrm{M}^{1} \mathrm{~L}^{1} \mathrm{~T}^{0}\) (d) \(\mathrm{M}^{-1} \mathrm{~L}^{0} \mathrm{~T}^{1}\)
See all solutions

Recommended explanations on English Textbooks

Essay Writing Skills

Read Explanation

Discourse

Read Explanation

Creative Story

Read Explanation

TESOL (English)

Read Explanation

Syntax

Read Explanation

Pragmatics

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.