Download presentation

Published byKennedy Stockbridge Modified over 4 years ago

1
**Mathematical Operations Using Numbers in Scientific Notation**

2
**Adding All numbers must be expressed in the same power of 10**

(A x 10m) + (B x 10m) (A + B) x 10m (1.234 x 10‾³) + (5.623 x 10‾3) = 1.234 6.857 = x 10‾3 (answer is in correct sig figs)

3
**Adding All numbers must be expressed in the same power of 10**

(A x 10m) + (B x 10m) (A + B) x 10m (2.2 x 10³) + (4.12 x 103) = Line up the decimals and add 2.2 x 10³ x 103 6.32 x 103 = 6.3 x 103 (round to correct sig figs)

4
When moving decimals: If you move the decimal to the right, add (-1) to the exponent If you move the decimal to the left, add (+1) to the exponent

5
10.85 X 10-2 need to move the decimal to the left so will add a (+1) = X = X 10-1 If your result is: x 102 need to move the decimal to the right so will add a (-1) = x = 2.33 X 101

6
**1.234 Different Exponents (1.234 x 10‾³) + (5.623 x 10‾²) =**

Doesn’t matter which exponent you change (1.234 x 10‾³) + (56.23 x =-3) = x 10‾² 1.234 +56.23 x 10‾³ = x 10‾³ = x 10‾² ( x 10‾²) + (5.623 x 10‾²) = x 10‾²

7
Addition ( x 10‾2) + (5.623 x 10‾²) = Doesn’t matter which exponent you change ( x 10‾²) + (5.623 x 10‾²) = x 10‾2 = x 10‾2 OR (1.234 x 10‾³) - (56.23 x =-3) = x 10‾² 1.234 x 10‾³ = x 10‾²

8
**Check your work! (1.234 x 10‾³) + (5.623 x 10‾²) =**

= = x 10‾²

9
Subtracting 2000 X 104 – 5 X 104 = 1995 X 104 Need to round answer to correct sig figs! 1995 X 104 becomes 2000 X 104 Still not done! 2000 X 104 = move the decimal 3 places to the left and add “3” to the exponent 2000 X = 2 x 107

10
**Multiplying Multiply the decimal parts Add the exponents of 10s**

(A x 10m) x (B x 10n) (A x B) x 10(m +n) (1.23 x 103) x (7.60 x 102) = (1.23 x 7.60) x 10 (3 + 2) = x 10 5 = x 10 5 (ROUND TO CORRECT SIG FIGS)

11
Example (4.16 x 103)(2 x 104) =

12
**Dividing Divide the decimal parts Subtract the exponents**

(A x 10x) (B x 10y) (A B) x 10(x-y) or A B 10(x-y) x

13
Example: (4.68 x 10-3) ÷ (4.00 x 10-5) 4.68 4.00 10 -3-(-5) = 1.17 x 102 x

14
Using Pre-determined Measurements in Calculations The value given in your calculation will influence the number of sig figs in your answer.

15
**Page 90 - Classroom exercises**

Similar presentations

OK

Daily Science (page 12) Convert the following using dimensional analysis: 1. 2.7 ft into cm (2.54 cm = 1 in.) 2. 17 m into km 3. 1.3 gallons to milliliters.

Daily Science (page 12) Convert the following using dimensional analysis: 1. 2.7 ft into cm (2.54 cm = 1 in.) 2. 17 m into km 3. 1.3 gallons to milliliters.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google