Question

Part 2: Number Properties

Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit.
Total score: ____ of 15 points
(Score for Question 1: ___ of 4 points)
Refer to Expression 1 and Expression 2.
Expression 1
6⋅7-3^2⋅9+4^3
Expression 2
5+4⋅2+6-2⋅2-1
(A) What is the value of Expression 1?
(B) Insert parentheses in Expression 2 so that it has a value of 19. Then show why your expression has a value of 19.
Answer:

(Score for Question 2: ___ of 3 points)
The average distance from the sun to the planet Mercury is about 58,000,000 km. The diameter of a human hair is about 0.0025 cm.
(A) What is the distance from the sun to Mercury written in scientific notation?
(B) What is the diameter of a human hair written in scientific notation?
(C) In comparing the measurements in Parts (a) and (b), what else must be done before a comparison is made?
Answer:

(Score for Question 3: ___ of 8 points)
The population of Columbus, Ohio, in 2014 was about 823,000. The population of the United States was about 319 million in 2014.
(A) Write each population in scientific notation.
(B) About how many times larger was the population of the United States than the population of Columbus, Ohio? Show your work.
Answer:

Answer 1

Expression 1 equals, 25.

To make the second expression 19, you add parenthesis

The distance in scientific notation would be 5.8* 10^7.

The diameter of a human hair in scientific notation would be 2.5* 10^-3

Columbus, Ohio: 8.23* 10^5

United States 3.19*10^8

319,000,000/823,000 = 387.606318

So, it's about 387 times larger