Real Number System
What is the difference between natural numbers and whole numbers?
The number 0
Shelsy purchased a top at Old Navy for $24. The tax rate for Virginia is 5.3%. How much tax did Dunia pay?
5.3% of 24 = 1.27
The tax is $1.27.
What does ascending and descending mean?
Ascending - Least to Greatest
Descending - Greatest to Least
A video game was priced at $20.99 in 2022 but increased to $21.54 in 2023.
What is the percent change of the game?
2.62% increase
What is the square root of 81?
What is the square root of 100?
9
10
Name 3 examples of Natural Numbers
Name 3 examples of Integers
Name 3 examples of Rational Numbers
1, 2, 3, ....
..., -2, -1, 0, 1, 2, ...
3.6, 6.0, 8%, -5 1/2, 7.2323...,
Jayden had a craving for Chick-Fil-A after school. He ordered an 8 count nuggets meal for $11.69. The meal tax is 9.3%. How much did Jayden pay for the meal with the tax?
9.3% of 11.69 = 1.09
Total for the meal and tax:
11.69 + 1.09 = $12.78
Which number has a greater value? -150 or -15
-15
The smaller negative whole number has a larger value.
A bag of halloween candy cost $8.45 but last week it was $12.99. What is the percent decrease?
34.95% decrease
Between which two consecutive whole numbers does the square root 95 fall between?
9, 10
Name the most common irrational number.
Pi, 3.14....
Fisher was given a 20% off coupon for Footlocker. He selected a pair of Jordan's that were priced at $185. The tax in Virginia is 5.3%. What did Fisher pay in total for the new shoes including the tax.
What is $155.84.
20% of 185 = 37
185 - 37 = 148
5.3% of 148 = 7.84
148 + 7.84 = 155.84
Order the following from least to greatest.
10/2, 35, 2.5, 32, sqrt 49
2.5, 10/2, sqrt 49, 32, 35
In 2016 a cheese pizza cost $4.99 but in 2019 it had increased to $6.49. What is the percent change?
30.06% increase
What is the side length of a square with an area of 25 units?
5
Describe rational numbers vs. irrational numbers
Rational numbers include regular fractions, mixed numbers, repeating decimal numbers, terminating decimal numbers, percentages, and all the subcategories below rational.
Irrational numbers are decimal numbers that never repeat or never end. Pi is the most common irrational number. Imperfect squares are irrational.
Mr. Dogbe decided to treat his family to a meal at Cheddar's. The cost of the meal for his family members was $72.45. The waitress did a great job and he wanted to leave the her a generous tip of 22%. What did Mr. Dogbe pay for the meal including the tip.
What is $88.39!
22% of 72.45 = 15.94
72.45 + 15.94 = 88.39
Order the following in descending order.
-6.23, -sqrt 81, - 100/2, -1, (-3)3
Descending means greatest to least
-1, -6.23, -sqrt 81, (-3)3, -100/2
A dress cost $95 in November, but you remember seeing it for $125 in July. What is the percent change?
24% decrease
Is the square root of 8 closer to 2 or 3?
2.8 is closer to 3
Name in order the subsets of the real number system.
Natural, Whole, Integer, Rational, Real
Irrational, Real
Rachel was given 2 free tickets to go see a movie. She invited her friend Kate to attend with her. Rachel was given $20. They found their seats in the theater but decided they were hungry for snacks. They purchased a bucket of popcorn for $6, 2 drinks for $5 each, and one big box of peanut m&ms for $4. How much did they pay in total with a tax rate of 5.3%. Did Rachel have enough to cover the snacks?
6 + 2(5) + 4 = 20
5.3% of 20 = 1.06
20 + 1.06 = 20.06
20.06 - 20 = -.06
No Vivian did not have enough.
Place the following in ascending order:
82, 20.56, -sqrt 64, -4.0, 36/3, -15%
Ascending means Least to Greatest
-sqrt 64, -4.0, -15%, 36/3, 20.56, 82
The original cost of a movie ticket in 2020 was $9.00. In 2025 the price is now $11.50. What is the percent change in the movie ticket price?
27.78 percent increase
If a square has an area of 36 units squared, what would the perimeter of the square be?
24 units