Subtract 4.66×10−^5−7.34×10−^7
To subtract these two numbers in scientific notation, we need to have the same exponent.
Given:
4.66×10^(-5)
7.34×10^(-7)
To get the same exponent, we can convert the second number to scientific notation with the same exponent.
7.34×10^(-7) can be written as:
0.0734×10^(-5)
Now we can subtract the two numbers:
4.66×10^(-5) - 0.0734×10^(-5)
To subtract, we subtract the numerical parts and keep the exponent the same:
= (4.66 - 0.0734) × 10^(-5)
= 4.5866 × 10^(-5)
So, 4.66×10^(-5) - 7.34×10^(-7) = 4.5866 × 10^(-5)
To subtract these numbers in scientific notation, we need to make sure the exponents are the same.
Given:
(4.66 × 10^(-5)) - (7.34 × 10^(-7))
Step 1: Ensure both numbers have the same exponent.
Move the decimal point in the first number two places to the right to match the exponent of the second number:
4.66 × 10^(-5) = 0.0000466 × 10^(-5)
Step 2: Perform the subtraction of the coefficients:
0.0000466 - 7.34 = -7.3399534
Step 3: Write the result in scientific notation:
Since we moved the decimal point two places to the right, the exponent will be -7:
-7.3399534 × 10^(-7)
Therefore, subtracting 4.66 × 10^(-5) by 7.34 × 10^(-7) gives us -7.3399534 × 10^(-7).
To subtract numbers in scientific notation, you need to ensure that the exponents are the same.
Here's how you can subtract the given numbers, 4.66×10^(-5) and 7.34×10^(-7):
Step 1: Check the exponents.
- The first number has an exponent of -5.
- The second number has an exponent of -7.
Step 2: Adjust the exponents.
- To subtract these numbers, we need the exponents to be the same.
- Raise the second number (7.34×10^(-7)) to the same exponent as the first number (-5) by multiplying it by 10^2.
- 7.34×10^(-7) * 10^2 = 7.34×10^(-5).
Step 3: Subtract the numbers.
- Now that the exponents are the same, subtract the numbers: 4.66×10^(-5) - 7.34×10^(-5) = -2.68×10^(-5).
Therefore, the result of subtracting 4.66×10^(-5) and 7.34×10^(-7) is -2.68×10^(-5).