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(7.5*10^(31))+(8.64*10^(31)) evauluate in scientific notation

1 Answer

6 votes

Answer:

10^32.

Explanation:

To evaluate the expression (7.5 * 10^31) + (8.64 * 10^31) in scientific notation, you need to add the two numbers while ensuring that they have the same exponent. Here's the step-by-step explanation:

Step 1: Add the numbers without altering the exponents:

(7.5 * 10^31) + (8.64 * 10^31)

Step 2: Add the coefficients (the numbers in front of 10^31):

7.5 + 8.64 = 16.14

Step 3: Keep the common exponent (10^31):

16.14 * 10^31

Now, express the result in scientific notation, which means ensuring that the coefficient is between 1 and 10:

Step 4: To do this, you can rewrite 16.14 as 1.614 * 10. We've moved the decimal point one place to the left and adjusted the exponent accordingly:

1.614 * 10 * 10^31

Step 5: Multiply the powers of 10:

1.614 * 10^(31+1)

Step 6: Add the exponents:

1.614 * 10^32

So, the result of (7.5 * 10^31) + (8.64 * 10^31) in scientific notation is approximately 1.614 * 10^32.

User HungrySoul
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