Math scientific_notation_worksheet__2_ Ms. Ordonez

Convert the following numbers into Scientific Notation
           
1) -0.0265 = -2.65 x 10^-2       7) 392 = 3.92 x 10^2
                                                                                                                       
2) 53000 = 5.3 x 10^4             8) -0.00361 = -3.61 x 10^-3
                              
3) -3400 = -3.4 x 10^3             9)0.000023 = 2.3 x 10^-3

4) 101000 = 1.01 x 10^5          10) -0.010 = -1.0 x 10^-2

5)-45.01 = -4.5 x 10^1              11) 1000000 = 1.0 x 10^6

6) 0.00671 = 6.71 x 10^-3         12) -4.50 = -4.5 x 10^0

Convert the following numbers into standard notation


1) 1.92 x 10^3 = 1920               7) -4.29 x 10^5 = -429000


2)3.51 x 10^-7 = .000000351    8) -2.23 x 10^-4 = -.000223

3) 2.30 x 10^4 = 23000              9) 1.76 x 10^-3 = .00176 

4)  1.901 x 10^-2 = .01901         10) 8.65 x 10^-1 = .865

5) 9.11 x 10^3 = 9110                 11) 5.40 x 10^7 = 54000000

6) 1.76 x 10^0 = 1.76                  12) 7.4 x 10^-5

Operations with Scientific Notation 

Add or Subtract the following numbers that are in scientific notation. Make sure your final answer is in proper scientific notation.

1) 5 x 10^3 + 4.3 x 10^4 = 4.8 x 10^4

2) 2.3 x 10^-4 - 6 x 10^-5 = (2.3-.6)x10^-4=1.7x10^-4

3) 4 x 10^5 + 3.3 x 10^6 = (.4+3.3)x10^6 = 3.7 x 10^6

4) 7.2 x 10^-2 + 5.3 x 10^-1= (.72+5.3)x 10^-1 = 6.03 x 10^-1

5) 9.2 x 10^10 - 8.4 x 10^11= (-8.4 + .92) x 10^11 = -7.48 x 10^11

Multiply or Divide the following numbers that are in scientific notation. Make sure your final answer is in proper scientific notation.

1) (3.5 x 10^5) x (4 x 10^3) = (.035 + 4) x 10^3= 4.035 x 10^3

2) (9 x 10^4) / (3 x 10^2) =(9 + .03) x 10^4 = 9.03 x 10^4

3) (5 x 10^6) x (7 x 10^8) = (.05 + 7) x 10^8 = 7.05 x 10^8

4) (7.5 x 10^5) / (2.5 x 10^3) =(7.5 + .025 x 10^5)

5) (4.5 x 10^3) / (2 x 10^6) = (.0045 + 2) x 10^6 = 2.0045 x 10^6