(Scientific Notation in the Real World MC)Write the expression as a number in scientific notation. 4.2 x 1010 3.4 x 1010 4.2 x 105 3.4 x 105
Question
(Scientific Notation in the Real World MC)Write the expression as a number in scientific notation. 4.2 x 1010 3.4 x 1010 4.2 x 105 3.4 x 105
Solution 1
The question seems to be asking for the conversion of four different numbers into scientific notation. However, all four numbers are already in scientific notation.
- 4.2 x 10^10 is already in scientific notation.
- 3.4 x 10^10 is already in scientific notation.
- 4.2 x 10^5 is already in scientific notation.
- 3.4 x 10^5 is already in scientific notation.
If you meant to ask for these numbers to be written out in standard form, then:
- 4.2 x 10^10 = 42,000,000,000
- 3.4 x 10^10 = 34,000,000,000
- 4.2 x 10^5 = 420,000
- 3.4 x 10^5 = 340,000
Solution 2
The question seems to be asking for the sum of the four numbers, all of which are given in scientific notation. Here's how you can do it:
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Add the numbers that have the same exponent first.
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4.2 x 10^10 + 3.4 x 10^10 = 7.6 x 10^10
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Then, 4.2 x 10^5 + 3.4 x 10^5 = 7.6 x 10^5
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Now, you have two numbers: 7.6 x 10^10 and 7.6 x 10^5.
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These cannot be directly added because they have different exponents. They can be added if they are converted to the same exponent.
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If we convert 7.6 x 10^5 to the exponent 10, it would be 0.0000076 x 10^10.
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Now, add this to 7.6 x 10^10, we get 7.600000076 x 10^10.
So, the sum of 4.2 x 10^10, 3.4 x 10^10, 4.2 x 10^5, and 3.4 x 10^5 is 7.600000076 x 10^10.
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