MAT 117 Problem Set1                              Name: ___________________________
Directions: Show all work and explain your thinking as you solvethese problems or write the explanations. Each problem is worthfive points.
1. Below are definitions of different math number concepts.Write the concept that goes with each description. (no explanationneeded for this problem only).
Concept | Definition |
| Include integers, all fractions pq,where p and q are integers with q≠0, all repeating and allterminating decimals. |
| Sometimes referred to as the counting numbers. |
| Include the natural numbers and 0. |
| A number in the form c x 10n, where 1≤c < 10 and n is an integer. Used to represent numbersthat are large or small in absolute value. |
| Include the natural numbers, their opposites, and 0. |
| Can be written as nonrepeating, non-terminating decimals; cannotbe a rational number, if a square root of a positive integer is notan integer, it is this number. |
| Any number that can be expressed in standard (decimal) form.Include the rational numbers and irrational numbers. |
2. Explain the difference between theexpressions 6x0 and (6x)0. If there is nodifference, explain why.
Grading: 2 points: Worked out Problem Mathematically; 3 points:Explanation
3. For a recent year, the United States consumed about 1.0 x104 of petroleum per second. (Source: U.S. EnergyInformation Administration)
How many gallons of petroleum did the United States use thatyear?
Show work for all intermittent steps andExplain each step used to get your answer.
Grading: 1 point: Correct Answer; 2 points: Work; 2 points:Explanation
4. State whether the following statement is true andexplain why or why not: A trinomial is always ahigher degree than a monomial. Give an example proving your answeris correct.
Grading: 2 points: Correct Answer; 2 points: Explanation; 1point: Example
5. Explain why x+ 7 is apolynomial, but x+7 is not a polynomial.
Grading: 5 points: Complete explanation
