(Scientific Notation in the Real World MC)The approximate weights of two animals are 4.23 x 103 lbs. and 8.7 x 103 lbs. Find the total weight of the two animals. Write the final answer in scientific notation with the correct number of significant digits. 1.29 x 104 lbs. 1.3 x 104 lbs. 5.1 x 103 lbs. 12 x 103 lbs.
Question
(Scientific Notation in the Real World MC)The approximate weights of two animals are 4.23 x 103 lbs. and 8.7 x 103 lbs. Find the total weight of the two animals. Write the final answer in scientific notation with the correct number of significant digits. 1.29 x 104 lbs. 1.3 x 104 lbs. 5.1 x 103 lbs. 12 x 103 lbs.
Solution
To find the total weight of the two animals, you simply add the weights together.
The weight of the first animal is 4.23 x 10^3 lbs and the weight of the second animal is 8.7 x 10^3 lbs.
When you add these together, you get:
4.23 x 10^3 lbs + 8.7 x 10^3 lbs = 12.93 x 10^3 lbs
However, we need to write the final answer in scientific notation with the correct number of significant digits. The least number of significant digits in the problem is two (from 8.7 x 10^3 lbs), so our answer should also have two significant digits.
Therefore, we round 12.93 x 10^3 lbs to 1.3 x 10^4 lbs.
So, the total weight of the two animals is 1.3 x 10^4 lbs.
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