8.03 ✕ 10v-8 - 2.56 ✕ 10v-2 show your work
To solve this, we can simplify each term separately.
8.03 × 10^(-8) can be written as 0.0000000803 (moving the decimal point 8 places to the left).
2.56 × 10^(-2) can be written as 0.0256 (moving the decimal point 2 places to the left).
Subtracting them, we get:
0.0000000803 - 0.0256
Now, we can align the decimal points and calculate:
0.0000000803
- 0.0256
_______________
0.0000000547
Therefore, 8.03 × 10^(-8) - 2.56 × 10^(-2) = 0.0000000547.
To subtract these two numbers written in scientific notation, we need to ensure that the exponents are the same.
Given:
8.03 × 10^(-8)
-2.56 × 10^(-2)
Step 1: Make the exponents the same.
We can rewrite the first number by multiplying it by 10^(-2).
8.03 × 10^(-8) = 8.03 × (10^(-2) × 10^(-6))
= 8.03 × 10^(-8 + (-6))
= 8.03 × 10^(-14)
Now we have:
8.03 × 10^(-14)
-2.56 × 10^(-2)
Step 2: Subtract the numbers.
8.03 × 10^(-14) - 2.56 × 10^(-2)
To subtract these numbers, we need to subtract the coefficients (8.03 - 2.56) and keep the same exponent.
= 5.47 × 10^(-2)
Therefore, 8.03 × 10^(-8) - 2.56 × 10^(-2) = 5.47 × 10^(-2)
To subtract these numbers in scientific notation, we need to make sure both numbers have the same power of 10.
Let's start by rewriting the numbers in a standard format with the same exponent:
8.03 x 10^(-8)
-2.56 x 10^(-2)
To compare the exponents, let's consider the difference. We can subtract the exponent of the second number from the exponent of the first number:
(-8) - (-2) = -8 + 2 = -6
Now, we need to rewrite both numbers with the same exponent of -6:
8.03 x 10^(-8) = 0.00000803 x 10^(-6)
-2.56 x 10^(-2) = -0.0256 x 10^(-6)
Now we can subtract the two numbers:
0.00000803 x 10^(-6) - (-0.0256 x 10^(-6))
To subtract the coefficients:
0.00000803 - (-0.0256) = 0.00000803 + 0.0256 = 0.02560803
We keep the exponent the same, so the answer is:
0.02560803 x 10^(-6), or you can write it as 2.560803 x 10^(-5)