1st-lesson_1st-Sem-Quarter-1-Physical-Quantities-and-Measurement.docx

General Physics 1

Physical Quantities and Measurement

Balingasa High School

School Year (SY) 2021-2022

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Learning Objective

At the end of this lesson, you should be able to:

1. solve measurement problems involving conversion of units, expression of measurements in scientific notation.

What is Scientific

Notation?

Scientific notation is a shorthand method of expressing very small and very large numbers [2].

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Written Form

Scientific Notations can be written in the form:

a × 10n

where:

a is in between 1 and 10 (1 ≤ a ≤ 10)

n is an integer

Ex:

Standard Form

Ex:

Scientific Notation

  • 800
  • 24,000,000,000,000,000,000,000
  • 0.00000143
  • 0.00000000000094
  • 0.000000001
  • 8 × 102
  • 2.4 × 1022
  • 1.43 × 10−6
  • 9.4 × 10−13
  • 1.0 × 10−9

Practice Exercise

Write the following numbers using scientific notation.

1. 357096

2. 0.0056

  1. 1,300,000,000,000,000,000,000 m

Addition and Subtraction

When adding and subtracting numbers written in scientific

notation, all numbers must have the same exponent.

Example:

    • (5 × 102) + (3.1 × 102) = 8.1 × 102
    • (4.3 × 102) - (2.1 × 102) = 2.2 × 102

Multiplication and Division

Example:

    • (2 × 102) × (1.1 × 103) = 2.2 × 105
    • (1.3 × 10−2) × (2.1 × 10−5) = 2.73 × 10−7
    • (9.4 × 105) ÷ (2 × 102) = 4.7 × 103

Definition of Terms

    • Physical Quantity – any number that is used to describe a

physical phenomenon quantitatively.

    • Measurement – it is a process of comparing an unknown

quantity with a chosen standard.

    • International System (SI) – it is the system of units used by

scientists and engineers around the world.

International System (SI)

Some Units of Length, Mass, and Time

Conversion (Length)

Example:

Convert 738 meter to centimeter (cm)

102 cm

m

738 × = 738 × 102 cm

1 m

In scientific notation,

7. 38 × 104 cm

Conversion (Mass)

Example:

Convert 256 kg to gram (g)

256 kg ×

In scientific notation,

103 g

1 kg

= 256 × 103 g

2. 56 × 105 g

Conversion (Time)

Example:

Convert 35 min to second (s)

35 min ×

In scientific notation,

60 s

1 min = 2100 s

2. 1 × 103 s

1st Performance Task

Deadline: September 24, 2021

Criteria

Good

Fair

Score

Solution

(3 pts.)

Used the appropriate

units and

mathematical techniques to come up with a complete solution.

(1 pt.)

Did not used the appropriate units and mathematical techniques that led to incorrect solution.

Final Answer

(2 pt.)

  • Expressed the answer in scientific notation and used appropriate unit of

measure.

  • The final answer is correct.

(1 pt.)

  • Did not expressed the

answer in scientific notation and used inappropriate unit of measure.

  • The final answer is incorrect.

Total

  1. The jet-engine car speed record is 683.0 mi/h, this was achieved on October 15, 2003, by Nicole Blue. Express this speed in meters per second.
  2. The volume of cut diamond is

1.73 cubic inches. What is its volume in cubic centimeters? In cubic meters?

Reference

  1. Young, H., Freedman, R. and Ford, A. (2016) University Physics with Modern Physics, 13e, Pearson
  2. Course Lumen. Scientific Notation, retrieved from: https://courses.lumenlearning.com/ivytech-collegealgebra/chapter/using- scientific-notation/

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