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
To write ( 8.34 \times 10^4 ) in standard notation, you move the decimal point in 8.34 four places to the right, since the exponent is 4. This results in 83,400. Therefore, ( 8.34 \times 10^4 ) in standard notation is 83,400.
3.6 times 10 to the negative 3 power
3.5 x 108 = 350,000,000
The standard form is 216 Exponent form is 2.16 x 102
43
0.00000067
To express a number in standard form with a negative, you typically write it as a product of a number between 1 and 10 and a power of 10. For example, the number -0.0045 can be expressed in standard form as -4.5 × 10^-3. The negative sign remains with the coefficient, while the exponent indicates the decimal shift.
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.
To write ( 8.34 \times 10^4 ) in standard notation, you move the decimal point in 8.34 four places to the right, since the exponent is 4. This results in 83,400. Therefore, ( 8.34 \times 10^4 ) in standard notation is 83,400.
3.6 times 10 to the negative 3 power
5*103 = 5,000
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.