Chapter 3 CPM Vocabulary

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Across
  1. 1. Where a and b are integers and b ≠ 0. For example, 0.75 is a rational number because 0.75 may be expressed in the form 3/4
  2. 6. The number you need to add to a given number to get a sum of 0. For example, the _________ of −3 is 3. It is also called the opposite.
  3. 7. Replacing one symbol with a number, a variable, or another algebraic expression of the same value. __________ does not change the value of the overall expression.
  4. 9. (for multiplication) The __________ of Multiplication states that if two expressions are multiplied, then the order may be reversed with no effect on the result. That is, ab = ba . For example, 5 · 8 = 8 · 5.
  5. 11. The specific instructions which expressions are to be evaluated or simplified: Circling the terms then simplyifying the mini problems within grouping symbols from left to right.
  6. 12. To find the numerical value of. To ________ an expression, substitute the value(s) given for the variable(s) and perform the operations according to the Order of Operations.
  7. 14. ________ are a single number, variable, or the product of numbers and variables between addition or subtration signs.
  8. 15. The ________ of a nonzero number is its multiplicative inverse or the.
Down
  1. 2. The _____________ of addition states that if a sum contains terms that are grouped, then the sum may be grouped differently with no effect on the total, that is, a + (b +c) = (a + b) + c. For example, 3 + (4 + 5) = (3 + 4) + 5.
  2. 3. To ________ an expression is to write a less complicated expression with the same value. The new expression has no parentheses and no like terms.
  3. 4. The _______________ of multiplication states that if a product contains terms that are grouped, then the product may be grouped differently with no effect on the result, that is, a(bc) = (ab)c. For example, 2·(3·4) = (2·3)·4.
  4. 5. _________ of Addition states that if two terms are added, then the order may be reversed with no effect on the total. That is, a + b = b + a . For example, 7 + 12 = 12 + 7.
  5. 8. The set of numbers {..., -3, -2, -1, 0, 1, 2, 3, ...}. The set of natural numbers, their opposites and zero(0).
  6. 10. The result of or answer to a division problem.
  7. 13. An ___________ is built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)