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Addition:

1) Change the lower exponent to match (by dividing its number by 10 successively)

2) Add the numbers.

3) Keep the biger exponent (then adjust if necessary)

Example 1:

4x10^6 + 9x10^4

1) 9x10^4=0.9x10^5=0.09x10^6

2) 4+0.09=4.09

3) 4.09x10^6

Example 2: 6x10^7 + 5.5x10^7

1) No change needed (same exponent)

2) 6+5.5=11.5

3)11.5x10^7

Subtraction:

1) Change the lowe exponent to match (by dividing its number by 10 successively)

2) Subtract the numbers

3)keep the bigger exponent (adjust if necessary)

Example 1:

4x10^6 - 9x10^4

1)9x10^4= 0.9x10^5=0.09x10^6

2) 4 - 0.09 = 3.91

3) 3.91x10^6

Example 2:

6x10^7 - 5.5x10^7

1) No change needed (same exponent)

2) 6 - .5 = 0.5

3) 0.5x10^7 = 5x10^6

Notice that in exmaple 1 we didn't change the exponent in step 3, but in example 2 we did.

Multiplucation:

1) Multiply the numbers

2) Add the exponents

3) If necessary, adjus the exponent

Wxample:

3x10^8 x 5x10^4

1) 3x5= 13

2) 8+4= 12

3) 15x10^12=1.3x10^13

Division:

1) Divide the numbers.

2) Subtract the exponents.

3) If necessary, adjust the exponent.

Example:

2x10^9 / 5x10^4

1) 2/5= 0.4

2) 9-4=5

3) 0.4x10^5= 4x10^4

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