1. the speed of light is 8.0x^8m/s in standard form that is?
2. the average size of a virus is 2x 10^-10 nanometers in diameter.
how to write the number(s) given scientific notation in standard form.
thank you
If a number has a negative exponent, move the decimal to the left to convert
to Standard form. If the exponent is positive, move the decimal to the right.
1. 8.0*10^8 = 800,000,000 m/s.
We moved the decimal 8 places to the right.
2. 2.*10^-10 = 0.0000000002 nm.
We moved the decimal 10 places to the left.
To convert a number from scientific notation to standard form, you need to follow these steps:
1. Identify the coefficient: Write down the number without the exponent (i.e., the part before the "x").
Example: For 8.0x10^8 m/s, the coefficient is 8.0.
2. Identify the power of 10: Note the sign of the exponent and write it as multiplication or division using the number 10.
Example: For 8.0x10^8 m/s, the power of 10 is 10^8.
3. Determine whether the exponent indicates multiplication or division by 10. Use multiplication if the exponent is positive and division if the exponent is negative.
Example: In 8.0x10^8 m/s, the exponent is positive, so it indicates multiplication.
4. Calculate the result by multiplying or dividing the coefficient by 10 raised to the power of the exponent.
Example: For 8.0x10^8 m/s, the standard form is 8.0 multiplied by 10 raised to the power of 8:
8.0 * 10^8 = 800,000,000 m/s.
Applying the same steps to the second question:
1. The coefficient is 2.0.
2. The power of 10 is -10.
3. The exponent is negative, indicating division by 10.
4. The standard form in this case is 2.0 divided by 10 raised to the power of 10:
2.0 * 10^-10 = 0.0000000002 nanometers in diameter.