Standard Form

Standard Form

1. Converting numbers to standard form

   • The amount of 0's is the number you need to use as a power
     • e.g 1 000 000 = 1 x 10^6
   • If there is more than one sig. fig. then you need to change the number into a decimal and add on an extra number to the power.
     • e.g. 540 = 5.4 x 10^2
   • Minus numbers
     • You times it with a minus power
     • The amount of 0s after the d.p + 1 is the number for the power
       • e.g 0. 000 0006 = 6 x 10^-7
       • e.g 1.36 10^-4= 0.000136

2. Multiplying Standard Form

   • Multiply the coefficients and add the indices.
     • e.g (4.5 x 10^4) x (6.45 x 10^5)
       • 4.5 x 6.45 = 29.025
       • 4+5 = 9
       • 29.025 x 10^9
         • 2.9025 x 10^10

3. Adding Standard Form

   • e.g (4.5 x 10^4) x (6.45 x 10^5)
     • Convert the numbers into normal numbers then add

4. Dividing Standard Form

   • Divide the coefficients and subtract the indices.
   • e.g (8x10^9) / (2x10^3)
     • = (8/2)x10^(9-3)
       • 4 x 10^6

5. Subtracting Standard Form

   • Convert the numbers into normal numbers then minus them