Introduction to Integers (Oppositeness and Representation)
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The document introduces grade 7 mathematics concepts related to integers, including the use of negative numbers, representation on a number line, and comparison of integers. It provides examples of real-life situations involving signed numbers and exercises for ordering integers in both ascending and descending order. The material also includes test questions for students to reinforce their understanding of these concepts.
Introduction to Integers (Oppositeness and Representation)
- 1. Grade 7 – Mathematics Quarter I INTRODUCTION TO INTEGERS (OPPOSITENESS AND REPRESENTATION)
- 2. •use negative numbers in practical situations; •represent integers on the number line; and •compare and arrange integers in ascending and descending order.
- 3. “What’s the OPPOSITE?” 1. cold 2. down 3. north 4. rising 5. decrease 6. backward 7. below 8. interesting up south falling increase forward above boring -+ warm - + -+ -+ - + -+ - + -+
- 4. Representing the OPPOSITES. Situation Signed Number Opposite of the situation Signed Number drive 40 km south walk 5 steps forward 32 meters below the sea level a deposit of Php 5000 demerit of 7 points drive 40 km north walk 5 steps backward 32 meters above the sea level a withdrawal of Php 5000 merit of 7 points -40 +5 -32 +5000 -7 +40 -5 +32 -5000 +7
- 5. Use signed number to represent each situation. 1. The price of the liter of gasoline rises from by Php 1.50. 2. The temperature of the freezer is set at 15° below zero. 3. Five points are deducted from a student’s score in a test. +Php1.50 -15° -5 points
- 6. NUMBER LINE 0 1 2 3 4 5 6 7 8-8 -7 -6 -5 -4 -3 -2 -1 zero positive integersnegative integers “signed numbers”INTEGERS - OPPOSITE -“additive inverse”
- 7. INTEGERS 0 1 2 3 4 5 6 7 8-8 -7 -6 -5 -4 -3 -2 -1 • number line tells us which number has a greater value. • the one to the right is ALWAYS greater than the one to the left.
- 8. COMPARING INTEGERS 0 1 2 3 4 5 6 7 8-8 -7 -6 -5 -4 -3 -2 -1 5 is greater than 1 0 is greater than -5 -2 is less than 0 -8 is less than -3 5 >1 0 > -5 -2 < 0 -8 < -3
- 9. ORDERING INTEGERS 5, -1, 8, -4, 2, 1 0, 6, -7, 3, -4, -1 -2, 5, -3, 1, -10,-6 -4, Arrange the following in INCREASING order. INCREASING ORDER (ascending order) - from least to greatest DECREASING ORDER (descending order) - from greatest to least -1, 1, 2, 5, 8 -7, -4, -1, 0, 3, 6 -10,-6, -3,-2,1, 5
- 10. Test Yourself. Use signed number to represent each situation. 1. An airplane flies at 20 000 feet above sea level. 2. Antarctica recorded a temperature of 36° below zero. 3. Ten points are added from a student’s score in a summative test.
- 11. Test Yourself. Arrange the following in: 1. 5 _____ -3 2. 0 _____ 12 3. -1 _____ -7 4. 3+4 _____ 5+2 5. 4x0 _____ -10 Compare using < , > or =. Increasing Order: 1. 5, 4, -3, -8, 0, -9, 11 2. 3, -1, 0, 12, -10, -5 Decreasing Order: 1. -1, 3, -2, -9, 0, -1, 2 2. -1, 1, 0, 2, -2, -4
- 12. Answer Key III.I. 1. 20 000 2 -36 3. 10 II. 1. > 4. = 2. < 5. > 3. > Increasing Order: 1. -9, -8, -3, 0, 4, 5, 11 2. -10, -5, -1, 0, 3, 12 Decreasing Order: 1. 3, 2, 0, -1, -1, -2, -9 2. 2, 1, 0, -1, -2, -4