Making Your Life Easier Scientific Notation Making Your Life Easier

My calculator can’t even handle this many digits! Example Problem Calculate the force of the sun on the earth: Decimal Notation (Normal) My calculator can’t even handle this many digits!

Notes: Scientific Notation · means multiply Example: 340 = 3.4 · 102 M n

Notes: Decimal Notation  Scientific Notation Example: 658,000. Example: 658,000 Note: if no decimal point is written it automatically goes at the end (right) of the number

Notes: Decimal Notation  Scientific Notation Example: 658,000. Example: 6.58,000.

Notes: Decimal Notation  Scientific Notation Example: 6.58,000. Example: 658,000 n = 5

Notes: Decimal Notation  Scientific Notation Example: 658,000 Example: 6.58,000. n = 5 Note: n is positive since 658,000 is bigger than 1

Notes: Decimal Notation  Scientific Notation Example: 658,000 = 6.58 ·105

Notes: Scientific Notation  Decimal Notation Example: 7.04 ·10-3

Notes: Scientific Notation  Decimal Notation Example: 7.04 ·10-3

Notes: Scientific Notation  Decimal Notation Example: 7.04 ·10-3

Notes: Scientific Notation  Decimal Notation Example: 0.007.04 ·10-3

Notes: Scientific Notation  Decimal Notation Example: 0.007.04 ·10 -3

Notes: Scientific Notation  Decimal Notation Example: 7.04 ·10-3 = 0.007,04 Added so you notice the decimal point

My calculator can’t even handle this many digits! Example Problem Calculate the force of the sun on the earth: Decimal Notation (Normal) My calculator can’t even handle this many digits!

Much easier! Your calculator can do this for you. Example Problem Calculate the force of the sun on the earth: Scientific Notation Much easier! Your calculator can do this for you.

Notes:

Your Turn! Convert to Scientific Notation: 55,601

Your Turn! Convert to Scientific Notation: 55,601 55,601 = 5.560,1 ·104 2. Convert to Scientific Notation: 30,800,000 30,800,000 = 3.08 ·107 3. Convert to Scientific Notation: 0.034 0.034 = 3.4 ·10-2 Convert to Scientific Notation: 0.005,000,702 0.005,000,702 = 5.000,702 ·10-3

Your Turn! 5. Convert to Decimal Notation: 6.0 ·104

Your Turn! 5. Convert to Decimal Notation: 6.0 ·104 6.0 ·104 = 60,000 9.05 ·10-11= 0.000,000,000,090,5 7. Convert to Decimal Notation: 8.820 ·10-1 8.820 ·10-1= 0.882,0 8. Convert to Decimal Notation: 4.532,1 ·1013 4.532,1 ·1013= 45,321,000,000,000