Bell Work3/23/15 Define the following : – Accuracy – Precision – Scientific Notation.

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Bell Work 3/23/15 Define the following: –Accuracy –Precision –Scientific Notation

Transcript of Bell Work3/23/15 Define the following : – Accuracy – Precision – Scientific Notation.

Page 1: Bell Work3/23/15 Define the following : – Accuracy – Precision – Scientific Notation.

Bell Work 3/23/15

Define the following:

–Accuracy–Precision –Scientific Notation

Page 2: Bell Work3/23/15 Define the following : – Accuracy – Precision – Scientific Notation.

Scientific Notation

Algebra 1Chapter 7Section 2

Objective: Students will use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how much larger or smaller one is than the other.

Page 3: Bell Work3/23/15 Define the following : – Accuracy – Precision – Scientific Notation.

• Accuracy: How close a measurement is to the true or accepted value

– Ex: Weighing a 50g mass– 50.00g – accurate– 32.18g or 49.99 not accurate

• Precision: How close multiple measurements are to each other

– Ex: Take the weight of a 50g mass– Accurate AND precise: 50.00g – Not accurate, precise: 32.18g

Page 4: Bell Work3/23/15 Define the following : – Accuracy – Precision – Scientific Notation.

An easy way to remember…

ACcurate = CorrectPRecision = Reproducibility

Page 5: Bell Work3/23/15 Define the following : – Accuracy – Precision – Scientific Notation.

Scientific Notation

• Short hand for writing very large or small numbers

• Two parts: Coefficient and Power of 10

A number between 1 and 10 (can include 1 but not 10).

Exponent:Large # = +

exponent Small # = -

exponent

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Why do we use Scientific Notation?• Scientific notation is used to express a number

that is very large or very small.

What is always true of a number written in scientific notation?

1.The numbers are always multiplied by a power of 10 with an integer exponent.

2. The numbers are always written as decimals ≥ 1 & < 10.

Page 7: Bell Work3/23/15 Define the following : – Accuracy – Precision – Scientific Notation.

Scientific Notation Examples:

Write the following numbers in scientific notation:1. 41,0002. 0.00293. 60,007,0004. 0.000 000 1325. 123,000,000

4.1x1042.9x10-

36.0007x107

1.32x10-7

1.23x108

Page 8: Bell Work3/23/15 Define the following : – Accuracy – Precision – Scientific Notation.

Putting a number into scientific notation in the calculator:

1. Punch the number (digit number) into your calculator.

2. Push the EE or EXP button. DO NOT use the x (times) button!!!

3. Enter the exponent number. Use the +/- button to change its sign.

4. Treat this number normally in all subsequent calculations.

Page 9: Bell Work3/23/15 Define the following : – Accuracy – Precision – Scientific Notation.

Calculator time!!

Try plugging these into your calculator. Put all answers in scientific notation.

*Instead of typing “x 10^,” use the “EE” or “EXP” button!*

37,000 x 7,0000.0008 x 0.0009(7x106) x (8x105)

2.59x108

5.6x1012

Page 10: Bell Work3/23/15 Define the following : – Accuracy – Precision – Scientific Notation.

7.2 Homework:

Complete Notes Worksheet &

Problems