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Science in math questions answer both please and show work thanks

1. The bright star Spica is 262 light years from our solar system. How many kilometers is this?
2. The star Antares is approximately 604 light years from Earth. Write this distance in scientific notation.

Scientific notation- a mathematical method of writing numbers using the power of 10.

User Sujal
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1 Answer

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1. 2,478,711,383,816,169.6 Kilometers. 1 light year is equal to 9,460,730,472,580.8 kilometers. Simply multiply 262 by 9,460,730,472,580.8 kilometers and you have your answer .

2. 5.7142812054387999 × 10^15 km. You do the same as before and multiply the light years by 9,460,730,472,580.8 which equals to 5,714,281,205,438,803.2. To convert it to scientific notation, you:

1. Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.
2. Count how many places you moved the decimal point. This number is b.
3. If you moved the decimal to the left b is positive. If you moved the decimal to the right b is negative. If you did not need to move the decimal b = 0.
4. Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."
User Sammy Guergachi
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