Lesson 1.1 Order Rational Numbers

Rational Numbers We rely on rational numbers to count, measure, and describe situations each day.Use the number line below for Questions 1 and 2. 1. Select the rational numbers that are marked on the number line above. 2, 0.75, 8 -3, 0.5, 4 -6, 30 3 -0.5, -4 3 2. How many whole numbers are labeled on the number line? 13 12 7 6 3. Irrational Numbers have what property? They are perfect squares. They can be expressed as the ratio of a where b is a non-zero integer. They cannot be expressed as the ratio of two integers. They are terminating decimals that do not repeat. 4. Compare √2 and √1; which number is rational and why? √2; it's a perfect square √1; it's a perfect square √2; it's an infinite decimal √1; it's an infinite decimal. 5. Convert 28 to a mixed number. 5 2 7 3 7 2 5 3 6. A runner logs her runs using a phone. The table below shows her distances for four days. Write the distances in the boxes below from shortest to longest.MondayTuesdayWednesdayThursday2 6 3 ¾2 3 Choose the correct option into the boxes: Shortest 1- Longest 4. Shortest (1) 2 3 3 2 6 2 2 3 Longest (4) 2 3 7. An incomplete expression is shown. Choose the correct symbol that completes the expression.0.125 _ 1 + < = > 8. You are painting the walls of three units in an apartment building. Your supervisor says you will need 5 3 gallons of paint for the three units. The amount of paint in each can is written in decimals. Which of these is the same as 5 3 gallons? 0.575 gallon 5.34 gallons 5.75 gallons 53.4 gallons 9. Which of the following numbers is the largest? 10.02 10.226 10.5 10.23 10. Which numbers are a distance of 3 units from the number 2? -1, 5 -3, 9 -1, 1 -3, 5 11. Find the distance between -6 and 3. 3 -3 9 -9 12. The absolute value of the sum of -17 + 8 is _. -13 9 -25 -9 13. Using the absolute value of each number, order the numbers below from least to greatest. Match the numbers from least to largest. Least -1 Next 6 Then -12 Next Largest 19 Largest -20 14. Which equation reflects the absolute value of the distance between -4 and -6? (-6)-(-4) -6-4 I -4-6 I I (-4)-(-6) I 15. At the warehouse where you work, you are in charge of the inventory. The warehouse has 217 gym bags in stock. You receive an order for 538 bags. How many bags are now on back order? 755 -755 -321 321 Math Vocabulary Lesson 1.1 Match the vocabulary words with their definitions. Rational Numbers The set of numbers that can be written in the form a where a and b are integers and b is not equal to zero. real numbers The set of rational and irrational numbers. absolute value The distance of a number from zero on the number line. integers The set of whole numbers and their opposites. Irrational numbers The set of numbers that cannot be written in the form a where a and b are integers and b is not equal to zero. Opposite numbers Two different numbers that have the same absolute value. positive numbers The set of numbers greater than zero. Negative numbers The set of numbers less than zero. square root A number squared is multiplied by itself; the square root of a number is whatever integer gives the original number when multiplied by itself. For instance, 12 x 12 or 12 squared is 144, so the square root of 144 is 12. decimal A real number on the base ten standard numbering system. expressions Symbols that represent numbers or operations between numbers. equation A statement that shows the equality of two expressions by joining them with an equals sign. fraction A quantity that is not whole that contains a numerator and denominator. The fraction representing half of 1 is written as 1 Mixed Numbers Mixed numbers refer to whole numbers combined with fractions or decimals. Example 3 1 or 3.5. infinite decimal a never ending decimal non-zero integer a number not zero