Subtract 4.66×10^−5−7.34×10^−7
To subtract two numbers in scientific notation, make sure both numbers have the same exponent.
First, let's rewrite the given numbers with the same exponent:
4.66 × 10^(-5) = 0.0000466 × 10^(-5)
7.34 × 10^(-7) = 0.000000734 × 10^(-5)
Now we can subtract the numbers:
0.0000466 × 10^(-5) - 0.000000734 × 10^(-5) = 0.000045866 - 0.0000000734
Performing the subtraction gives us:
= 0.0000457926
In scientific notation, this can be written as:
= 4.57926 × 10^(-5)
To subtract numbers in scientific notation, we need to ensure that the exponents are the same. In this case, we can use the fact that both numbers have a negative exponent to rewrite them without the negative sign.
Step 1: Rewrite the numbers:
4.66 × 10^(-5) = 0.0000466
7.34 × 10^(-7) = 0.000000734
Step 2: Subtract the numbers:
0.0000466 - 0.000000734 = 0.000045866
Step 3: Rewrite the result in scientific notation:
0.000045866 can be written as 4.5866 × 10^(-5)
Therefore, the equation 4.66 × 10^(-5) - 7.34 × 10^(-7) equals 4.5866 × 10^(-5).
To subtract numbers written in scientific notation, you need to make sure that their exponents are the same.
Given:
First number: 4.66 × 10^(-5)
Second number: 7.34 × 10^(-7)
To make the exponents the same, we can rewrite both numbers using the same power of 10. Let's convert them to the power of 10^(-7) since it has the smaller exponent.
1. Convert the first number:
4.66 × 10^(-5) = (4.66 × 10^(-5)) × (10^(-7) / 10^(-7))
= (4.66 × 10^(-5)) × (10^(-7 + 7)) [Using exponent rules, when multiplying same bases, add exponents]
= (4.66 × 10^(-5)) × 10^(0)
= (4.66 × 10^(-5)) × 1
= 4.66 × 10^(-5)
2. Convert the second number:
7.34 × 10^(-7) = (7.34 × 10^(-7)) × (10^(-7) / 10^(-7))
= (7.34 × 10^(-7)) × (10^(-7 + 7))
= (7.34 × 10^(-7)) × 10^(0)
= (7.34 × 10^(-7)) × 1
= 7.34 × 10^(-7)
Now that both numbers have the same exponent (10^0), we can subtract the coefficients.
(4.66 × 10^(-5)) - (7.34 × 10^(-7)) = 4.66 × 10^(-5 - (-7))
= 4.66 × 10^(-5 +7)
= 4.66 × 10^(2)
= 466
Therefore, subtracting 4.66 × 10^(-5) from 7.34 × 10^(-7) gives us the result 466.