Download presentation

Presentation is loading. Please wait.

Published byReese Cork Modified over 2 years ago

1
**Standard Form (also referred to as "scientific notation“)**

2
**Standard Form In science, we deal with some very LARGE numbers:**

1 mole = In science, we deal with some very SMALL numbers: Mass of an electron = kg

3
**Imagine the difficulty of calculating the mass of 1 mole of electrons!**

kg x ???????????????????????????????????

4
Standard Form: A method of representing very large or very small numbers in the form: M x 10n M is a number between 1 and 10 n is an integer For very large numbers and very small numbers, standard form is more concise.

5
. 9 8 7 6 5 4 3 2 1 Step 1: Insert an understood decimal point Step 2: Decide where the decimal must end up so that one number is to its left Step 3: Count how many places you bounce the decimal point Step 4: Re-write in the form M x 10n

6
2.5 x 109 The exponent is the number of places we moved the decimal.

7
**0.0000579 1 2 3 4 5 Step 2: Decide where the decimal must end**

up so that one number is to its left Step 3: Count how many places you bounce the decimal point Step 4: Re-write in the form M x 10n

8
5.79 x 10-5 The exponent is negative because the number we started with was less than 1.

9
**More Examples Use: 2.898 (moved 8 places to the left)**

Given: 289,800,000 Use: (moved 8 places to the left) Answer: x 108 Given: Use: 5.67 (moved 4 places to the right) Answer: 5.67 x 10–4 Timberlake lecture plus

10
Learning Check Express these numbers in standard form: 1) 2) 3) 4) 2 5) Timberlake lecture plus

11
Solution Express these numbers in standard form: 1) x 105 2) x 10–3 3) 3 x 109 4) 2 x 100 5) x 10–1 Timberlake lecture plus

12
**Coming out of Standard Form**

Move the decimal place to the right for a positive exponent 10. Move the decimal place to the left for a negative exponent 10. Use zeros to fill in places.

13
**Examples Use: 5,093,000 (moved 6 places to the right)**

Given: x 106 Use: 5,093, (moved 6 places to the right) Given: x 10–4 Use: (moved 4 places to the left) Timberlake lecture plus

14
**PERFORMING CALCULATIONS IN STANDARD FORM**

ADDITION AND SUBTRACTION

15
**Review: M x 10n Standard form expresses a number in the form:**

n is an integer 1 M 10

16
IF the exponents are the same, we simply add or subtract the numbers in front and bring the exponent down unchanged. 4 x 106 + 3 x 106 7 x 106

17
**The same holds true for subtraction in standard form.**

4 x 106 - 3 x 106 1 x 106

18
**If the exponents are NOT the same, we must move a decimal to make them the same.**

19
4.00 x 106 4.00 x 106 x 105 + .30 x 106 4.30 x 106 Move the decimal on the smaller number!

20
A Problem for you… 2.37 x 10-6 x 10-4

21
Solution… x 10-6 2.37 x 10-6 x 10-4

22
Solution… x 10-4 x 10-4 x 10-4

Similar presentations

OK

Scientific Notation Student Expectation: 8 th Grade: 8.1.1D Express numbers in scientific notation, including negative exponents, in appropriate problem.

Scientific Notation Student Expectation: 8 th Grade: 8.1.1D Express numbers in scientific notation, including negative exponents, in appropriate problem.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on articles of association definition Ppt on wildlife tourism in india Ppt on social contract theory examples Ppt on obesity management Ppt on rural and urban livelihood Ppt on acid base titration Download ppt on fundamental rights and duties of filipinos Ppt on blood donation camp Ppt on polynomials download google Inspirational ppt on positive attitude free download