Convert each item to standard form before addition.
To convert scientific form to standard form move the decimal point the number of digits given by the exponent, if positive to the right, if negative to the left; if the digits run out insert zeros. If no decimal point is visible it is "hiding" after the last digit.
8 x 10¹ = 80
3 × 10^-3 = 0.003
→ 8 × 10¹ + 3 × 10^-3 = 80 + 0.003 = 80.003
3.5 x 108 = 350,000,000
0.00000067
22
3.6 times 10 to the negative 3 power
5*103 = 5,000
3.5 x 108 = 350,000,000
The standard form is 216 Exponent form is 2.16 x 102
43
0.00000067
22
One over one hundred billion in a negative exponent would be 1 x 10-9
The -1 exponent is stating that the decimal needs to be moved one place to the left (essentially making the number smaller than how it appears).The standard form would be shown as: 0.292If the exponent were to have been a positive 1, the decimal would move one place right, instead of left.
3.6 times 10 to the negative 3 power
5*103 = 5,000
When you have a negative exponent (for example 3^-3) you could make the recipricol of the number. So, this would be 1/3^3. Then all that you would have to do is solve for the exponent ( so in this case the answer would be 1/27)
Standard form is a way of writing large numbers or very small number easily. For example, if we have 5000, we will write it as 5 * 103 in standard form. The exponent of 3 represents how many 0's there are in the number. An example of writing a very small number is .0005 We write it as 5 * 10-4 in standard form. The negative sign in the exponent tells us that the number is a decimal. We write -4 because we've moved the number (5) 4 places to the right.
To write 2.289 x 10-3 in standard notation, you simply move the decimal point three places to the left, because the exponent is negative. This gives us the value of 0.002289.