Question

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1. The approximate weights of two animals are 5.36 x 104 lbs. and 6.2 x 104 lbs. Find the total weight of the two animals. Write the final answer in scientific notation with the correct number of significant digits.

12 x 104 lbs.
5.9 x 104 lbs.
1.22 x 105 lbs.
1.2 x 105 lbs.
2.You are solving a measurement problem where the numbers 4.514 x 10−3, 3.09 x 107, and 2.80 x 103 are multiplied. How many significant digits should the product have?

1
2
3
4

Answer 1

Answer: For the first one, 1.22 x 105. For the second one, 2.

Step-by-step explanation:

For the 1st one, this asks for the sum. Also, since both terms are greater than 5 (excluding the SCI notation of 10), they should get into the next power. So cross out the first two. Now for the last two, when you add, you get 11.56. When you round that AFTER changing the 11.56 to 1.56 and increasing the exponent of 104 to 105, you should have rounded it to 1.2, since that is the least amount of significant digits. The correct answer is 1.2 x 105 lbs.

For the second one, it is pretty simple, significant digits are determined by the least amount of digits in the factors/addends. The least amount seen is 2, which is in the number 2.8.

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