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additive inverse The opposite of a number. The sum of a number and its additive inverse is always zero. ⫺ ⫹ ⫺ ⫹ Examples: 3 ⫹ 3 ⫽ 0; 12 ⫹ 12 ⫽ 0 © Houghton Mifflin Co. 5 Grade 6 Units 4 and 8 evaluate To calculate the numerical value. © Houghton Mifflin Co. 52 Grade 6 Units 1, 2 and 8 expression A number, a variable, or any combination of numbers, variables, operation signs, and grouping symbols. Examples: 2n ⫻ 3 ⫹ 4n 34.2 ⫼ 2 © Houghton Mifflin Co. 57 Grade 6 Units 2 and 8 inequality A relation that is expressed by placing an inequality symbol between two expressions. Examples: 8 ⫽ 2 5⫹7⫽6⫹4 nⱕ7 © Houghton Mifflin Co. 69 Grade 6 Unit 8 integers The set of positive whole numbers, their opposites (negative numbers), and 0. ⫺ ⫺ ⫺ ⫹ ⫹ ⫹ Examples: ..., 3, 2, 1, 0, 1, 2, 3, ... © Houghton Mifflin Co. 71 Grade 6 Units 4 and 8 inverse properties Properties that are the reverse of each other, such as addition and subtraction or multiplication and division. © Houghton Mifflin Co. 78 Grade 6 Unit 8 irrational numbers Non-terminating, non-repeating decimals that cannot be expressed as the ratio of two integers. Examples: ⫺冪ᎏ莦29ᎏ, 2.1121232223… © Houghton Mifflin Co. 80 Grade 6 Unit 8 multiplicative inverse Any two numbers whose product is 1. For any nonzero number x, 1 a the reciprocal is ᎏxᎏ. The multiplicative inverse of a fraction ᎏbᎏ is the b fraction ᎏaᎏ. Also called the reciprocal. © Houghton Mifflin Co. 95 Grade 6 Units 2 and 8 rational numbers a b A number that can be expressed in the form ᎏᎏ, where a and b are any integers and b is not equal to zero. © Houghton Mifflin Co. 140 Grade 6 Unit 8 real numbers The set of all rational and irrational numbers. © Houghton Mifflin Co. 141 Grade 6 Unit 8 solution to an inequality Any value of a variable that makes an inequality true. © Houghton Mifflin Co. 164 Grade 6 Unit 8