1. 5 minute check 1 Click the mouse button or press the Space Bar to display the answers.

2. 5 minute check 1a

3. 1-4 Fractions and Decimals

4. Video Tutor Help Writing a fraction as a terminating decimalWriting a fraction as a terminating decimal (1-4) Writing terminating decimals as fractionsWriting terminating decimals as fractions (1-4) Writing a fraction as a repeating decimalWriting a fraction as a repeating decimal (1-4) Writing a Repeating Decimal Writing a Decimal as a Fraction Ordering Fractions Ordering Decimals Khan Academy Write a decimal as a fraction Adding and subtracting fractions Bain Pop 1-4 Adding and Subtracting Rational Numbers Course 2 Creating Common Denominators Addition and subtraction of fractions with different denominators requires creating a "common" denominator. Using the number line, this mysterious process can be easily visualized. 1-4 Adding and Subtracting Rational Numbers Course 2 Creating Least Common Denominators Sometimes when finding a common denominator we create an unnecessarily large common denominator. This chapter explains how to find the smallest possible common denominator. 1-4 Adding and Subtracting Rational Numbers Course 2 Reducing Fractions The process of reducing any fraction to its simplest possible form is easily visualized using the number line.

5. 1-4 Fractions and Decimals Course 2 Converting Terminating Decimal Numbers to Fractions Decimal numbers with a finite number of digits after the decimal point can be easily converted into fractions. This chapter explains why. 1-4 Fractions and Decimals Course 2 Converting Repeating Decimal Numbers to Fractions Decimal numbers with an infinitely repeating sequence of digits after the decimal point can be converted into fractions. This chapter explains why. 1-4 Adding and Subtracting Rational Numbers Course 2 Improper Fractions and Mixed Numbers Sometimes arithmetic operations result in fractions greater than one, called "improper" fractions. An improper fraction can be converted into a "mixed number" composed of an integer plus a "proper" fraction. 1-4 Fractions and Decimals Course 2 Converting Fractions to Decimal Numbers Any fraction can be converted into an equivalent decimal number with a sequence of digits after the decimal point, which either repeats or terminates. The reason can be understood by close examination of the number line.

6. Video Tutor Help Finding absolute value Comparing and ordering integers using absolute value or a number line Adding integers using rules Subtracting integers Subtracting integers to solve problems Adding integers using a number line Multiplying integers Dividing integers to solve problems Writing a fraction as a terminating decimal Writing a fraction as a repeating decimal Ordering fractions and decimals Writing terminating decimals as fractions Ordering rational numbers

7. Worksheets Daily Notetaking Guide Worksheets Version A Practice, Guided Problem Solving Lesson 1-4 Practice 1-4 Guided Problem Solving 1-4

8. Vocabulary Practice Vocabulary 1A: Graphic Organizer Vocabulary 1B: Reading Comprehension Vocabulary 1C: Reading/Writing Math Symbols Vocabulary 1D: Visual Vocabulary Practice Vocabulary 1E: Vocabulary C Vocabulary 1F: Vocabulary Review Puzzle Vocabulary (Electronic) Flash Cards

9. Additional Lesson Examples Step-by-Step Examples Lesson 1-4

10. Lesson Readiness Lesson Quiz Problem of the Day Lesson 1-4

14. Rational Numbers A rational number is any number that can be expressed in the form a/b, where a and b are integers and b≠0. All rational numbers can be written as fractions. Since -7 can be written as -7/1 and 2 2/3 can be written as 8/3, -7 and 2 2/3 are rational numbers. All integers, fractions, and mixed numbers are rational numbers.

15. Fractions as a decimal Any fractions can be expressed as a decimal by dividing the numerator by the denominator. A decimal like 0.625 is called a terminating decimal because the division ends, or terminates, when the remainder is 0. A decimal like 1.666… is called a repeating decimal. Since it is not possible to write all of the digits, you can use bar notation to show that the 6 repeats. 1.666… = 1.6

16. Example 1-1a Write as a decimal. Method 1 Use paper and pencil. Answer: 0.0625 Write a Fractions as a Terminating Decimal

18. The total amount of rainfall yesterday was reported as in. Express the amount of rainfall as a decimal. Method 1 Paper and Pencil Method 2 Calculator 140.25 or 1 ÷ 4 = 4 1.00 1414 0.25 –8 20 –20 0 quotient The remainder is 0. 1414 Fractions and Decimals So, = 0.25. The total amount of rainfall was 0.25 in. 1414 LESSON 1-4 Additional Examples

21. Example 1-3a Write as a decimal. The digits 12 repeat. Answer: Write Fractions as Repeating Decimals

22. Example 1-3a Write as a decimal. The digits 18 repeat. Answer: Write Fractions as Repeating Decimals

24. Write as a decimal. Method 1 Paper and PencilMethod 2 Calculator 7150.46666667 7 15 The digit “6” repeats. There will always be a remainder. or 7 ÷ 15 = 15 7.0000 0.4666 –60 100 –90 7 15 100 –90 10 7 15 So, = 0.46. Fractions and Decimals LESSON 1-4 Additional Examples

25. Example 1-4a Write 0.32 as a fraction. Answer: The decimal 0.32 can be written as 0.32 is 32 hundredths. Simplify. Divide by the greatest common factor of 32 and 100, 4. Write a Terminating Decimal as a Fraction

27. Fractions and Decimals LESSON 1-4 Write 4.105 as a fraction in simplest form. Since 0.105 =, 4.105 = 4. 105 1,000 105 1,000 4 = 4 105 1,000 105 ÷ 5 1,000 ÷ 5 Use the GCF to write the fraction in simplest form. = 4 21 200 Additional Examples

30. Fractions and Decimals Order from least to greatest:. 3434 3 3 7 10, 2.897, 7 10 3 = 3.70 2.897, 3.70, 3.75, 3 3 2.897, 7 10 3434 Order from least to greatest. 3 3434 = 3.75 Use a calculator to convert fractions to decimals. LESSON 1-4 Additional Examples

33. Fractions and Decimals LESSON 1-4 bicycles 1 16 = 0.0625 Use a calculator to change the fractions to decimals. walk 5 24 = 0.2083 Since 0.375 > 0.25 > 0.2083 > 0.0625, the means of transportation are car, bus, walking, and bicycle. In a survey of next year’s seventh-grade students, 0.25 said they will come to school by bus, said they will walk, 0.375 said they will come in a car, and said they will ride their bicycles. Order the means of transportation from most used to least used. 5 24 1 16 Additional Examples