Subtract 4.66×10−5−7.34×10−7
A.−2.68×10^2
B. 2.68x10^2
C.−4.5866×10^−5
D. 4.5866×10^−5
To subtract the given numbers in scientific notation, we first need to ensure that they have the same exponent.
In this case, we can rewrite 4.66×10^−5 as 4.66×10^−5 × 10^2 ÷ 10^2 = 4.66×10^−5 × 10^2/10^2 = 4.66×10^−3
Subtracting 4.66×10^−3 from 7.34×10^−7, we get:
7.34×10^−7 - 4.66×10^−3 = 7.34×10^−7 - 4.66×10^−3
= -4.6526×10^−3
So, the answer is "-4.6526×10^−3"
However, none of the given options match this answer.
That means your answer is wrong
Apologies for the mistake. Let's subtract the numbers correctly:
4.66 × 10^(-5) - 7.34 × 10^(-7)
To subtract these numbers, we need to have the same exponent. Let's rewrite 7.34 × 10^(-7) as 0.734 × 10^(-6) to have the same exponent:
4.66 × 10^(-5) - 0.734 × 10^(-6)
Now, we can perform the subtraction:
4.66 × 10^(-5) - 0.734 × 10^(-6) = 4.66 × 10^(-5) - 0.00734 × 10^(-5)
= (4.66 - 0.00734) × 10^(-5)
= 4.65266 × 10^(-5)
So, the correct answer is 4.65266 × 10^(-5), which corresponds to option D.
To subtract 4.66×10^−5 from 7.34×10^−7, we can follow these steps:
Step 1: Arrange the numbers in scientific notation form:
7.34×10^−7 - 4.66×10^−5
Step 2: Subtract the numbers after rearranging them:
7.34 - 4.66 = 2.68
Step 3: Keep the power of 10 the same:
10^(-7)
Putting it all together, the result is:
2.68×10^−7
Therefore, the correct answer is option B: 2.68x10^2.
To subtract numbers written in scientific notation, you need to have the same exponent. In this case, we can rewrite the numbers as follows:
4.66 × 10^(-5) - 7.34 × 10^(-7)
To subtract them, we subtract the coefficients (the numbers in front) while keeping the same exponent:
4.66 - 7.34 = -2.68
Now we have the coefficient, but we need to make sure the resulting number is still in scientific notation. Since we are subtracting a smaller value from a larger one, the resulting number will be negative.
Finally, we need to adjust the exponent to match the numbers. The original numbers have exponents of -5 and -7. Since we are subtracting and the exponent is closer to zero, the resulting number should have an exponent of -5.
Putting it all together:
-2.68 × 10^(-5)
The correct answer is A. -2.68 × 10^(-5).