Maths for Diploma Studies

When multiplying numbers with exponents we add the exponents, so we have:

First, we need to calculate the top line. Remember, when adding and subtracting, the powers of ten remain the same. So here we are adding 0.00035 to 0.024:

Now we can calculate the equation using the orders of magnitude:

When dividing orders of magnitude, we subtract the denominator from the numerator, so we have:

We can start with the top line:

As we are multiplying, we add the powers of ten:

Now we can do the division:

When dividing orders of magnitude, we subtract the denominator from the numerator, so we have:

First, we need to calculate the part in brackets:

Remember, when we subtract, the exponents remain the same and as we are subtracting a very large number from a very small one, the impact of the small numbers is not significant. We have:

which is close enough to -72,000 to call the answer that. This makes our calculation:

So we add the powers of ten to get:

And multiplying gives us:

First, we can do the top line:

And now the bottom line:

And then top divided by the bottom:

So: