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What is sum of 5.3x10^5 and 3.8x10^4

A. 4.33x10^4
B. 5.68x10^5
C. 9.1x10^9
D. 9.1x10^5

2 Answers

5 votes

Final answer:

The sum of 5.3x10^5 and 3.8x10^4 is found by expressing both numbers with the same exponent, adding them, and expressing the sum in proper scientific notation, which is 5.68x10^5. The correct answer is B. 5.68x10^5.

Step-by-step explanation:

To find the sum of 5.3×105 and 3.8×104, you should first express both numbers with the same exponent for ten to simplify the addition. The number with the smaller exponent can be rewritten:

3.8×104 = 0.38×105

Now, add the numbers with the same exponent:

5.3×105 + 0.38×105 = (5.3 + 0.38) ×105

This equals 5.68×105, which is the sum in proper scientific notation.

Therefore, the correct answer is B. 5.68×105.

User Gabriel Costache
by
8.1k points
4 votes
This is a classic example of Scientific Notation.
5.3 x 10^5 actually equals 530,000
3.8 x 10^4 actually equals 38,000
Since it is asking for the sum of the numbers you are adding.
Your new equation look like this:
530,000 + 38,000
= 568,000
now all you have to do is count the decimal points. You start from the end zero and count the spaces in between until you get to the tenths place. (Right behind the first number) There are 5
So your answer will be:
B. 5.68 x 10^5.
User Toddg
by
8.1k points

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