add 8.03*10^{-8} and 2.56*10^{-2}.
show your work
To add these numbers, we need to ensure that both numbers have the same power of 10.
8.03 * 10^(-8) = 0.0000000803
2.56 * 10^(-2) = 0.0256
Now we can add these two numbers:
0.0000000803 + 0.0256 = 0.0256000803
To add 8.03 * 10^(-8) and 2.56 * 10^(-2), you need to make sure the exponents are the same.
The first number, 8.03 * 10^(-8), can be written as 8.03 * 10^(0) * 10^(-8) since 10^0 is equal to 1.
Now the exponents are the same, so you can add the two numbers:
8.03 * 10^(0) * 10^(-8) + 2.56 * 10^(-2)
= 8.03 * 10^(0-8) + 2.56 * 10^(-2)
= 8.03 * 10^(-8) + 2.56 * 10^(-2)
To add the numbers, you don't need to worry about the exponents anymore. Simply add the coefficients:
8.03 + 2.56 = 10.59
So the sum of 8.03 * 10^(-8) and 2.56 * 10^(-2) is 10.59.
To add 8.03 x 10^(-8) and 2.56 x 10^(-2), follow these steps:
Step 1: Align the numbers based on their exponent.
8.03 x 10^(-8) + 2.56 x 10^(-2)
Step 2: Adjust the numbers with smaller exponents to match the exponent of the larger number.
8.03 x 10^(-8) = 0.0000000803
2.56 x 10^(-2) = 0.0256
Step 3: Add the adjusted values together.
0.0000000803 + 0.0256 = 0.0256000803
Step 4: Simplify the result if necessary.
In this case, the sum is already simplified.
Therefore, the sum of 8.03 x 10^(-8) and 2.56 x 10^(-2) is 0.0256000803.
To express the sum in scientific notation, we need to determine the appropriate exponent.
The number 0.0256000803 can be expressed as 2.56000803 x 10^(-2).
Therefore, the sum of 8.03 x 10^(-8) and 2.56 x 10^(-2) in scientific notation is 2.56000803 x 10^(-2).
To subtract these numbers, we need to ensure that both numbers have the same power of 10.
8.03 * 10^(-8) = 0.0000000803
2.56 * 10^(-2) = 0.0256
Now we can subtract these two numbers:
0.0000000803 - 0.0256 = -0.0255999197
To express this result in scientific notation, we need to determine the appropriate exponent.
The number -0.0255999197 can be expressed as -2.55999197 x 10^(-2).
Therefore, the subtraction of 8.03 * 10^(-8) and 2.56 * 10^(-2) in scientific notation is -2.55999197 x 10^(-2).
To multiply these numbers, we can simply multiply the coefficient and add the exponents.
(8.03 * 10^(-8)) * (2.56 * 10^(-2)) = (8.03 * 2.56) * (10^(-8) * 10^(-2))
= 20.5208 * 10^(-8 - 2)
= 20.5208 * 10^(-10)
To express this result in scientific notation, we need to adjust the coefficient to be between 1 and 10.
20.5208 can be written as 2.05208 * 10^1.
Therefore, the multiplication of 8.03 * 10^(-8) and 2.56 * 10^(-2) in scientific notation is 2.05208 * 10^1 * 10^(-10), which simplifies to 2.05208 * 10^(-9).
To divide these numbers, we can divide the coefficients and subtract the exponents.
(8.03 * 10^(-8)) / (2.56 * 10^(-2)) = (8.03 / 2.56) * (10^(-8) / 10^(-2))
= 3.13671875 * 10^(-8 - (-2))
= 3.13671875 * 10^(-8 + 2)
= 3.13671875 * 10^(-6)
To express this result in scientific notation, we need to adjust the coefficient to be between 1 and 10.
3.13671875 can be written as 3.13671875 * 10^0.
Therefore, the division of 8.03 * 10^(-8) and 2.56 * 10^(-2) in scientific notation is 3.13671875 * 10^0 * 10^(-6), which simplifies to 3.13671875 * 10^(-6).
To add these numbers, we can write the first number as a decimal instead of scientific notation.
32.8 + 3.2 * 10^4 = 32.8 + 32000
= 32032.8
To express this result in scientific notation, we need to adjust the coefficient to be between 1 and 10.
32032.8 can be written as 3.20328 * 10^4.
Therefore, the sum of 32.8 and 3.2 * 10^4 in scientific notation is 3.20328 * 10^4.
To multiply these numbers, we can multiply the coefficients and add the exponents.
256.7 * (1.95 * 10^6) = 256.7 * 1.95 * 10^6
= 500.565 * 10^6
To express this result in scientific notation, we need to adjust the coefficient to be between 1 and 10.
500.565 can be written as 5.00565 * 10^2.
Therefore, the multiplication of 256.7 and 1.95 * 10^6 in scientific notation is 5.00565 * 10^2 * 10^6, which simplifies to 5.00565 * 10^8.
57,900,000 = 5.79 * 10^7
108,200,000 = 1.082 * 10^8
149,600,000 = 1.496 * 10^8
227,900,000 = 2.279 * 10^8
778,600,000 = 7.786 * 10^8
1,433,500,000 = 1.4335 * 10^9
2,872,500,000 = 2.8725 * 10^9
4,495,100,000 = 4.4951 * 10^9