Quantitative Reasoning MAT 1100 Module 1 Lesson 4 Assignment 1

This assignment provides a comprehensive solution to the MAT 1100 Quantitative Reasoning Module 1 Lesson 4 Assignment 1. It covers various mathematical concepts including identifying number sets (natural, whole, integers, rational, irrational, and real numbers), solving problems related to elevation changes, and calculating temperature differences. The solution also includes finding additive inverses and absolute values, analyzing data from tables, identifying inverse operations, solving problems involving historical dates, and calculating total scores for golfers. Furthermore, the assignment involves performing mathematical operations, and determining differences between mountain heights and ocean trench depths. This resource is designed to assist students in understanding and mastering fundamental quantitative reasoning skills.

MAT 1100 Quantitative Reasoning Module 1 Lesson 4 Assignment 1
Student Name:
1) List all numbers from the given set that are
List the numbers of each set
a) natural numbers {0, 3}
b) whole numbers {0, 3}
c) integers
{-12, 0, , 3}
d) rational numbers
{3, -12, 0, }
e) irrational numbers
{ }
f) real number.
Note: some numbers should belong to more than one set.
2) A bike road race starts at an elevation of 800 feet and passes through 5 stages where the elevation changes by
-102 feet, 596 feet, -24 feet, -63 feet, and 286 feet. At what elevation does the race end?
Solution: The race end at feet elevation.
3) The lowest temperature ever recorded in South Carolina was -19F. The lowest temperature ever recorded in
Wisconsin was 36F lower than South Carolina’s record low. What is the record low temperature in Wisconsin?
(Source: National Climatic Data Center).
Solution: The recorded low temperature in Wisconsin
4) Find for each number:
Additive inverse Absolute value
a) –15 +15 15
b) 4 – 4 - 4 + 4 0

MAT 1100 Quantitative Reasoning Module 1 Lesson 4 Assignment 1
5) Use the information in the table to answer the question.
a) What is the sum of the changes in 2005 and 2006 for decorations?
b) What is the absolute value for the change in hospitality in 2005?
Solution a: The sum of the changes in 2005 and 2006 for decorations
Solution b: The absolute value for the change in hospitality in 2005
6) Many everyday occurrences can be thought of as operations that have opposites or inverses. For example, the
inverse operation for “going to sleep” is “walking up.” For each of the given activities, specify its inverse
activity.
a) Cleaning up your room.
b) Earning money.
7) A certain Roman philosopher was born in 325 BC. Her mother was born 35 years earlier. In what year was
her mother born?
Solution: Since, Roman philosopher was born in 325 BC and her mother was born 35 years earlier this implies
that her mother was born in
Note: BC: before Christ
8) The table gives scores above or below par (that is, above or below the score “standard”) for selected golfers
during the 2013 PGA Tour Championship. Write a signed that represents the total score for the four rounds
(above or below par) for each golfer.
Golfer Round 1 Round 2 Round 3 Round 4 Total
Score
Steve Stricker -4 +1 -2 -5 -10

MAT 1100 Quantitative Reasoning Module 1 Lesson 4 Assignment 1
Phil Mickelson +1 -3 0 -2 -4
Charl Schwartzel -2 +9 +7 -4 +10
Kevin Streelman -1 +2 +4 -3 +2
* Golf scoring commonly includes a + sign with a score over par.
Source: PGA
9) Perform the indicated operation.
40 ( 18−15 ) −6
32−11 =
10) The table shows the heights of some selected mountains and the depths of some selected ocean trenches.
Mountain Height (in feet) Trench Depth (in feet, as a negative number)
Foraker 17, 400 Philippine -32,995
Wilson 14,246 Cayman -24,721
Pikes Peak 14,110 Java -23,376
Source: World Almanac and Book of Facts
a) What is the difference between the height of Pikes Peak and the depth of the Java Trench?
b) How much deeper is Philippine Trench than the Cayman Trench?
Solution a: From the table,
The height of Pikes Peak and
The depth of the Java Trench
So, the difference between the height of Pikes Peak and the depth of the Java Trench
Solution b: From the table,
The depth of the Philippine Trench