To calculate the difference between 8.03 × 10^-8 and 2.56 × 10^-2, we subtract them as follows:
8.03 × 10^-8 - 2.56 × 10^-2 = (8.03 - 2.56) × 10^-8
Performing the subtraction gives us:
5.47 × 10^-8
8.03 × 10^-8 - 2.56 × 10^-2 = (8.03 - 2.56) × 10^-8
Performing the subtraction gives us:
5.47 × 10^-8
= (2.56 - 8.03) × 10^-2
= (-5.47) × 10^-2
Therefore, the result is -5.47 × 10^-2.
Step 1: Check the exponents.
The exponents of both numbers are negative. Since we need to subtract the numbers, we will keep the exponent with the larger absolute value, which is -2.
Step 2: Adjust the decimal places.
To align the decimal places, we need to move the decimal point 6 places to the right in the first number, as the exponent is -8. The second number is already in the correct position.
8.03 ✕ 10^-8 becomes 0.00000803.
2.56 ✕ 10^-2 remains the same.
Step 3: Perform the subtraction.
Now subtract 0.00000803 from 2.56 ✕ 10^-2:
2.56 ✕ 10^-2 - 0.00000803 =
0.0256 - 0.00000803 =
0.02559197
So, the result of subtracting 8.03 ✕ 10^-8 from 2.56 ✕ 10^-2 is 0.02559197.
step by step
Step 1: Adjust the exponents.
The exponents are different, so we need to adjust them to have the same exponent. In this case, we can convert 8.03 ✕ 10^-8 to scientific notation with the same exponent as 2.56 ✕ 10^-2.
8.03 ✕ 10^-8 = 0.0000000803 ✕ 10^-2
Step 2: Perform the subtraction.
Now subtract 0.0000000803 ✕ 10^-2 from 2.56 ✕ 10^-2:
2.56 ✕ 10^-2 - 0.0000000803 ✕ 10^-2 =
(2.56 - 0.0000000803) ✕ 10^-2 =
2.5599999197 ✕ 10^-2
Final Answer:
So, the result of subtracting 8.03 ✕ 10^-8 from 2.56 ✕ 10^-2 is approximately 2.5599999197 ✕ 10^-2.
Let's rewrite the numbers with the same exponent:
8.03 × 10^-8 can be written as 0.803 × 10^-7 (by moving the decimal point one place to the right).
Now we can subtract the two numbers:
0.803 × 10^-7 - 2.56 × 10^-2
When subtracting, we only need to focus on the significands or the numbers that are not multiplied by 10 raised to a power.
In this case, we subtract 0.803 from 2.56:
2.56 - 0.803 = 1.757
Now we need to keep the same exponent 10^-7:
1.757 × 10^-7
So, 8.03 × 10^-8 - 2.56 × 10^-2 = 1.757 × 10^-7.