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Mastering Opposites and Number Line Calculations: A Comprehensive Guide

This guide provides a thorough breakdown of number line concepts, including opposites, averages, and essential arithmetic operations. It covers the identification of opposites, such as the opposite of 10 being -10 and demonstrates calculating halfway points and basic arithmetic involving rational numbers. Illustrated examples and corrections based on textbook problems will ensure clear understanding and mastery of these concepts. Perfect for students needing extra practice or clarification in math operations and number lines.

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Mastering Opposites and Number Line Calculations: A Comprehensive Guide

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  1. Wrap Up • Place the following numbers on the number line below: • O) -5 • I) the opposite of 10 • A) the opposite of -4 • !) the opposite of the opposite of 8 [also written as –(-(8)) ] • V) the # halfway between -9 and 3 • M) -2 + 5 • L) -3 – 4 • H) 5 – (-2) • T) -2 x -3 • E) 4 + -5 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

  2. O) -5 • I) the opposite of 10 = -10 • A) the opposite of -4 = 4 • !) the opposite of the opposite of 8 = 8 • V) the # halfway between -9 and 3 = -3 (-9+3)/2  average • M) -2 + 5 = 3 • L) -3 – 4 = -7 • H) 5 – (-2) = 7 • T) -2 x -3 = 6 • E) 4 + -5 = -1 I L O V E M A T H ! -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

  3. Corrections • Textbook pg 135 • #1a) -1 b) 7 c) -16 d) 0 • E) -3 F) -10 g)4 h)17 • #3a) 25 b) -145 c)-30 • d) 1356 e) -539 f) 280 • #4  a) 3, 2, 1, 0, -1 •  b) 11, 10, 9, 8, 7 •  c) 10, 11, 12, 13, 14 • #5a) -25 + 12 = -13 b) 8 + (-17) = -9 • C) -14 + (-9) = -23 d)-24 + (-11) = -35

  4. Corrections • Textbook pg 136 • #6a) -74 b) 56 c) 18 • D) -22 e) -1038 f) 1536 • #8a) -4 b) 5 c)6 • D) -10 e) -12 f) -19 • #9 a) Expression 2 (8- -7) B) Expression 3 (-5 - -9) c) Expression 1 (-3 + 6)

  5. Pg 136 • #10 • A) -7, -14, -21, -28, -35, -42 • B) 38, 28, 18, 8, -2, -12 • C) -68, -56, -44, -32, -20, -8, 4 • #12 A) -17 B) -52 C) -7 D) -63 E)1 F) 115

  6. Corrections • Textbook pg 137 • #15 • A) -14 B) -8 • C) -11 D) 0

  7. Answers (pg 43) • #1 • A) + B) - C) - D) + • #2 • A) 91 B) 500 C) -100 D) -940 • E) 5 F) -11 G) -18 H) 111

  8. Answers (Page 44) • #3 • A) 165 B) 33 C) 202 D) -9 • E) -133 F) 0 G) -9887 H) -1 019 • I) -839 J) 1 250 K) -4 048 L) 47 • #4 • A) 56 B) 142 C) -142 D)-56 • #5 • A) 17 B) 376 • C) -794 D) -193

  9. -1 -99 -51 5

  10. Army - Titus • Army - Caius • Titus’ Life • Caius’ Life -186 -184 -182 -180 -178 -176 -174 -172 -170 -168 -166 -164 -162 -160 -158 -156 -154 -152 -150 -148 Titus Caius

  11. False True False True False True d c 0 a b

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