Choose two of the scientific numbers from the list and divide them. Show your
work.
2.56*10^-2 8.03*10^-8
To divide two scientific numbers, we will divide their coefficients and subtract their exponents.
Given:
Scientific number 1: 2.56x10^-2
Scientific number 2: 8.03x10^-8
Dividing the coefficients:
2.56 / 8.03 = 0.31960737527
Subtracting the exponents:
10^-2 - 10^-8 = 10^-2 - 10^-8 = 10^(-2 - (-8)) = 10^(-2 + 8) = 10^6
Therefore, the division of the two scientific numbers is:
0.31960737527 * 10^6, which can also be written as 3.196 * 10^5.
To divide the two scientific numbers, follow these steps:
Step 1: Convert the scientific notation to decimal notation.
2.56 * 10^-2 = 0.0256
8.03 * 10^-8 = 0.0000000803
Step 2: Divide the decimal numbers.
0.0256 ÷ 0.0000000803 = 319.825562273
Therefore, dividing 2.56 * 10^-2 by 8.03 * 10^-8 gives us approximately 319.825562273.
To divide two scientific numbers, you can simplify the process by using the properties of exponents.
Step 1: Write out the given numbers in scientific notation:
2.56 * 10^-2
8.03 * 10^-8
Step 2: Divide the coefficient (the non-exponent part) of the first number by the coefficient of the second number. In this case, 2.56 divided by 8.03:
2.56 / 8.03 = 0.319102179
Step 3: To divide exponential numbers, subtract the exponent of the denominator from the exponent of the numerator. In this case, subtract -8 (from the denominator) from -2 (from the numerator):
(-2) - (-8) = -2 + 8 = 6
Step 4: Record the result from Step 2 and write it in scientific notation, combining it with the exponent calculated in Step 3:
0.319102179 * 10^6
So, dividing 2.56 * 10^-2 by 8.03 * 10^-8 gives us 0.319102179 * 10^6.