3.2 x 10^4 – 2.56 x 10^-2
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3.2 x 10^4 – 2.56 x 10^-2
To subtract these numbers, we need to make sure the exponents are the same.
The first number, 3.2 x 10^4, has an exponent of 4.
The second number, 2.56 x 10^-2, has an exponent of -2.
We can convert the second number to have the same exponent as the first one. To do this, we can multiply the second number by 10^6 (which is 10^(4-(-2))) to get:
2.56 x 10^-2 * 10^(4-(-2))
= 2.56 x 10^-2 * 10^6
= 2.56 x 10^(6-2)
= 2.56 x 10^4
Now that the exponents are the same, we can subtract the numbers:
3.2 x 10^4 - 2.56 x 10^4
= (3.2 - 2.56) x 10^4
= 0.64 x 10^4
The final answer is 0.64 x 10^4, or 6.4 x 10^3 (if we convert it to scientific notation).
To subtract these numbers with different powers of 10, we need to convert them to the same power of 10.
First, let's convert 2.56 x 10^-2 to its equivalent in scientific notation: 0.0256 x 10^0.
Now we can subtract the numbers: 3.2 x 10^4 - 0.0256 x 10^0.
To subtract, we keep the same power of 10 and subtract the coefficients: 3.2 - 0.0256 = 3.1744.
Finally, we write the result in scientific notation: 3.1744 x 10^4.
Therefore, 3.2 x 10^4 – 2.56 x 10^-2 = 3.1744 x 10^4.
To solve this problem, we need to subtract the second number from the first number.
First, let's simplify the given numbers to make the calculation easier:
3.2 x 10^4 = 32,000 (since 10^4 means multiplying the number by 10,000)
2.56 x 10^-2 = 0.0256 (since 10^-2 means dividing the number by 100)
Now, we can subtract these two numbers:
32,000 - 0.0256 = 31,999.9744
Therefore, the result of the subtraction is 31,999.9744.
I hope this explanation was helpful in understanding how to solve the problem step by step.