Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Q6. (page 17)

Express the sine of30.0°with the correct number of significant figures.

Short Answer

Expert verified

The required number in significant figures is 0.500.

Step by step solution

01

Step 1. Significant figures

For estimating the number of significant figures, the following rules are followed:

  • In a number, all the leading zeroes are non-significant.
  • The zero lying between two non-zero digits is significant.

The given angle is θ=30°.

The expression to determine the significant figures is sinθ.

02

Step 2. Applications of significant figures

The following are two examples of significant figures:

There are four significant figures in the value 160.0mm.

There are three significant figures in the value 16.0cm.

To determine the significant figures, take the known values in the above expression:

sin30°0.500

Thus, there are three significant figures in the given number.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

Many sailboats are docked at a marina 4.4 km away on the opposite side of a lake. You stare at one of the sailboats because, when you are lying flat at the water’s edge, you can see its deck but none of the side of the sailboat. You then go to the sailboat on the other side of the lake and measure that the deck is 1.5 m above the level of the water. Using Fig. 1-16, where h = 1.5 m, estimate the radius R of the earth.

Recent findings in astrophysics suggest that the observable universe can be modeled as a sphere of radiusR=13.7×109lightyears=13.0×1025mwith an average total mass density of about1×10-26kg/m3. Only about 4% of total mass is due to “ordinary” matter (such as protons, neutrons, and electrons). Estimate how much ordinary matter (in kg) there is in the observable universe. (For the light- year, see the Problem19.)

How many significant figures do each of the following numbers have: (a) 214, (b) 81.60, (c) 7.03, (d) 0.03, (e) 0.0086, (f) 3236, and (g) 8700?

Question: An average family of four uses roughly 1200 L (about 300 gallons) of water per day1L=1000cm3. How much depth would a lake lose per year if it covered an area of50km2with uniform depth and supplied a local town with a population of 40,000 people? Consider only population uses, and neglect evaporation, rain, creeks and rivers.

How many significant figures does the number 0.0078 have?

(a) 1.(b) 2.(c) 3.(d) 4.
See all solutions

Recommended explanations on Physics Textbooks

Electric Charge Field and Potential

Read Explanation

Electromagnetism

Read Explanation

Wave Optics

Read Explanation

Space Physics

Read Explanation

Quantum Physics

Read Explanation

Electricity and Magnetism

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.

Sign-up for free