subtract these
6.849×10^−4
2.329×10^−2
To subtract these numbers, you need to subtract the coefficients while keeping the same exponent.
6.849 × 10^-4 - 2.329 × 10^-2
= (6.849 - 2.329) × 10^-4
= 4.52 × 10^-4
To subtract the given numbers in scientific notation, follow these steps:
Step 1: Convert both numbers to the same power of 10.
- 6.849 × 10^(-4) = 0.0006849 (Move the decimal point 4 places to the left)
- 2.329 × 10^(-2) = 0.02329 (Move the decimal point 2 places to the left)
Step 2: Subtract the two numbers.
- 0.02329 - 0.0006849 = 0.0226051
Step 3: Express the result in scientific notation, if necessary.
- 0.0226051 can be written as 2.26051 × 10^(-2) (Move the decimal point 2 places to the right)
Therefore, the difference between 6.849 × 10^(-4) and 2.329 × 10^(-2) is 2.26051 × 10^(-2).
To subtract these two numbers in scientific notation:
1. First, make sure both numbers have the same exponent. In this case, we can rewrite both numbers using a common exponent of 10^(-4).
6.849×10^(-4) = 0.0006849 and 2.329×10^(-2) = 0.02329.
2. Next, subtract the decimal parts of the numbers while keeping the common exponent.
0.02329 - 0.0006849 = 0.0226051.
3. Finally, express the result in scientific notation. Since the decimal part is greater than 1, we need to move the decimal point one place to the left and increase the exponent by 1.
0.0226051 = 2.26051×10^(-2).
So, the difference between 6.849×10^(-4) and 2.329×10^(-2) is approximately 2.26051×10^(-2).