235k views
4 votes
How do I evaluate 5.4×10^4 - 3.1×10^4?

User Gunty
by
7.7k points

1 Answer

2 votes

Final answer:

The result of 5.4×10^4 −3.1×10^4 is 2.3×10^4 , which is 23,000.

Step-by-step explanation:

To evaluate 5.4 × 1 0^4 − 3.1 × 1 0^4, you can subtract the coefficients while keeping the exponent (since the terms have the same exponent, which is 10^4 ):

( 5.4 − 3.1 ) × 1 0^4

Now, calculate the numerical part:

2.3 × 1 0^4

So, 5.4 × 10^4 − 3.1 × 1 0^4 is equal to2.3×10^4 is the answer after subtracting the numbers in scientific notation.

It's essentially saying that the result is 2.3 times 10^4 or 23,000. This is a common approach when working with very large or very small numbers, as scientific notation helps express them in a concise and manageable form.

User Emel
by
7.8k points