/*! 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 50 The number of significant figure... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 50

The number of significant figures in \(306.45\) and 40440 are respectively (a) 4,5 (b) 5,5 (c) 5,4 (d) 4,6

Short Answer

Expert verified
The answer is (c) 5,4.

Step by step solution

01

Understanding Significant Figures

Significant figures in a number are the digits that carry meaning contributing to its precision. This includes all the non-zero digits, zeros between significant digits, and trailing zeros in a decimal portion.
02

Counting Significant Figures in 306.45

Write down the digits of 306.45: 3, 0, 6, 4, 5. All these digits are significant because: 3, 6, 4, and 5 are non-zero, and 0 is between 3 and 6. This makes a total of 5 significant figures.
03

Counting Significant Figures in 40440

Write down the digits of 40440: 4, 0, 4, 4, 0. Non-zero digits 4, 4, and 4 are significant. The zeros are between and after other significant digits, indicating a precision in measurement. With no decimal point, trailing zeros are not counted as significant. Thus, there are 4 significant figures.
04

Comparing to Answer Choices

(b) 5,5 indicates both numbers have 5 significant figures. (c) 5,4 correctly states 5 for 306.45 and 4 for 40440, which aligns with our findings.

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.

Precision in Measurement
Precision in measurement is all about how detailed and exact the measurement is when recorded. The number of significant figures in a measurement can reveal its precision. They tell us how sure we can be about certain values and how much uncertainty we have to account for.
  • More significant figures generally mean higher precision.
  • Less significant figures might mean greater uncertainty.
  • Each digit plays a specific role, including zeroes.
Identifying significant figures helps determine how precise a measurement is, guiding scientific calculations and results.
Non-zero digits
Non-zero digits are inherently significant. Every digit from 1 to 9 is considered significant because they are not place-holders and always count towards the precision of a measurement. Here's why they matter:
  • They give immediate indications of scale and magnitude.
  • They are the digits that contribute directly to the measurement's precision.
In both numbers, 306.45 and 40440, the non-zero digits form the core of what we count as significant figures. Thus, capturing their presence is crucial in accuracy for reporting a value.
Trailing zeros
Trailing zeros can sometimes be tricky because their significance can change depending on the context they appear in. Trailing zeros are the zeros that come after all the non-zero digits. Here鈥檚 how they work:
  • In a decimal number, trailing zeros are always significant because they indicate the precision of the measurement, such as in 3.00.
  • In a whole number without a decimal point, trailing zeros are not considered significant, like in 40440.
This is significant when measuring data since it dictates how you interpret the data's precision.
Decimal portion
The decimal portion of a number contains digits after the decimal point. These play a vital role in determining the number's precision in measurement. Here's why they are essential:
  • The digits after the decimal point provide more detailed precision.
  • Zeros in the decimal portion are significant as they define the measurement accuracy, like in 306.450.
The precise placement of numbers after the decimal shows how detailed the measurement is, adding depth to the data it's representing.

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

The number of oxalic acid molecules in \(100 \mathrm{ml}\) of \(0.02\) \(\mathrm{N}\) oxalic acid solution is (a) \(6.023 \times 10^{22}\) (b) \(10^{-3}\) (c) \(6.022 \times 10^{20}\) (d) none of these

If \(\mathrm{N}_{\mathrm{A}}\) is Avogadro's number then number of valence electrons in \(4.2 \mathrm{~g}\) of nitride ions \(\left(\mathrm{N}^{3}\right)\) is (a) \(3.2 \mathrm{~N}_{\mathrm{A}}\) (b) \(1.6 \mathrm{~N}_{\mathrm{A}}\) (c) \(2.4 \mathrm{~N}_{\Lambda}\) (d) \(1.2 \mathrm{~N}_{\mathrm{A}}\)

The molarity of a solution obtained by mixing 750 \(\mathrm{mL}\) of \(0.5(\mathrm{M}) \mathrm{HCl}\) with \(250 \mathrm{~mL}\) of \(2(\mathrm{M}) \mathrm{HCl}\) will be [2013] (a) \(1.75 \mathrm{M}\) (b) \(0.975 \mathrm{M}\) (c) \(0.875 \mathrm{M}\) (d) \(1.78 \mathrm{M}\)

A purified pepsin was subjected to amino acid analysis. The amino acid present in the smallest amount was lysine, \(\mathrm{C}_{6} \mathrm{H}_{14} \mathrm{~N}_{2} \mathrm{O}_{2}\) and the amount of lysine was found to be \(0.431 \mathrm{~g}\) per \(100 \mathrm{~g}\) of protein. The minimum molecular mass of protein is (a) \(34 \mathrm{u}\) (b) \(3400 \mathrm{u}\) (c) \(34,000 \mathrm{u}\) (d) \(3400,000 \mathrm{u}\)

Two grams of sulphur is completely burnt in oxygen to form \(\mathrm{SO}_{2}\), In this reaction, what is the volume (in litres) of oxygen consumed at STP? (At. wt of sulphur and oxygen are 32 and 16 respectively) (a) \(\frac{22.414}{16}\) (b) \(\frac{16}{22.441}\) (c) \(\frac{32.414}{18}\) (d) \(\frac{42.414}{16}\)
See all solutions

Recommended explanations on Chemistry Textbooks

Inorganic Chemistry

Read Explanation

Ionic and Molecular Compounds

Read Explanation

Making Measurements

Read Explanation

Nuclear Chemistry

Read Explanation

Kinetics

Read Explanation

Chemical Analysis

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.