Question

Subtract 3.2 x 10^4 - 2.56 x 10^-2

Answer 1

put it in scientific notation

Answer 2

are you sure thats correct

Answer 3

To subtract these numbers, we need to use the rules of scientific notation and adjust the exponents so that they are the same.

We have:

3.2 x 10^4 - 2.56 x 10^-2

First, let's write both numbers with the same exponent.

3.2 x 10^4 can be written as 32 x 10^3 (by dividing 3.2 by 10 and multiplying the exponent by 10).

Now we have:

32 x 10^3 - 2.56 x 10^-2

Next, we need to subtract these numbers.

For the first term, 32 x 10^3, we can write it as 3.2 x 10^4 by dividing 32 by 10 and multiplying the exponent by 10.

Now we have:

3.2 x 10^4 - 2.56 x 10^-2

Subtracting the numbers gives us:

3.2 - 2.56 x 10^-2

To subtract 2.56 x 10^-2 from 3.2, we need to adjust the exponents so they are the same.

2.56 x 10^-2 can be written as 0.0256 x 10^0 (by dividing 2.56 by 10 and multiplying the exponent by 10).

Now we have:

3.2 - 0.0256 x 10^0

Since 10^0 = 1, we can simplify the expression to:

3.2 - 0.0256

Subtracting these numbers gives us:

3.1744

Therefore, 3.2 x 10^4 - 2.56 x 10^-2 = 3.1744.

Answer 4

The result, 3.1744, can be written in scientific notation as 3.1744 x 10^0.

Answer 5

Apologies for the mistake. You're right, the correct answer in scientific notation is 3.1744 x 10^0. However, in scientific notation, we typically adjust the coefficient to be between 1 and 10. Therefore, we can write 3.1744 x 10^0 as 3.1744 x 10^0 = 3.1744.