Question

ActivityAccording to a survey conducted in 2007, there were an estimated 6.99 × 107 dogs, 3.61 × 107 cats, and 8.3 × 106 birds kept as pets in the United States. In this activity, you’ll add these three numbers in both standard form and in scientific notation and check whether you get the same sum.Question 1First, add the numbers using standard form.Part AConvert each of the three pet populations to standard form.Part BFind the total population of pet dogs, cats, and birds in standard form.Question 2Now add the populations in scientific notation.Part ARewrite each estimate so they all have the same power of 10.Part BNow that the three numbers have the same power of 10, find the sum using the Distributive Property.Part CIs the sum from part B in scientific notation? If not, write the sum in the scientific notation.Part DNow that you’ve added the populations in two different ways, compare your results. Are the answers you found in questions 1 and 2 the same? How can you tell?

Answer 1

Question 1

Part A

Dogs = 69900000

Cats = 36100000

Birds = 8300000

Part B

Standard form = 69900000 + 36100000 + 8300000

= 114300000

Question 2. All have the same power

Scientific notation = 6.99 x 10^7 + 3.61 x 10^7 + 0.83 x 10^7

Part C

Scientific notation = 1.1143 x 10^8

Part D

Yes, the results are the same.

I can conclude that It doesn't matter the procedure I use, the result will be the same.