Operations

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Across
  1. 3. Property - a number in front of a group of terms will multiply all terms in the grouping individually. (a(b + c) = ab + ac)
  2. 6. Algorithm: ________ - Algorithm for solving multiplication. Expand each factor into hundreds, tens, ones, etc. and then multiply and add.
  3. 7. Algorithm: ________ - Algorithm for solving addition. Add each place value separately and then find the total.
  4. 9. Algorithm: _______ – Algorithm for solving division. Separate the problem into columns and work with each place value separately.
  5. 10. Algorithm: ______ - Algorithm for solving division. First estimate the answer using base-10 numbers and then keep estimating until the remainder is less than the dividend.
  6. 11. Property - An operation is commutative if changing the order of terms does not change the outcome. (A + b = b + a)
  7. 12. Algorithm: _______ - Algorithm for solving addition. Align numbers based on place value and then add each column.
  8. 14. - indicate repeated multiplication and are written above and after the number in question in the form: x^n where n represents the number of times multiplication is repeated. (3^2=3∙3)
  9. 15. Algorithm: _________ - Algorithm for solving addition. Add a number to one addend to make a number ending in zero and subtract the same amount from the other addend.
  10. 17. - a specific set of steps that allows the user to reach the correct answer every time.
  11. 18. - The number under the radical symbol. (y is the radicand of √y
  12. 19. - an expression with one or more terms; terms may include exponents that may only be whole numbers and may not include division by a variable. (4x−5)
  13. 20. Algorithm: ________ - Algorithm for solving subtraction. Add or subtract the same amount from both numerals and then subtract.
  14. 21. Algorithm: _________ - Algorithm for solving multiplication. Using the concept that multiplication is repeated addition, students use base-10 numbers to multiply and add.
Down
  1. 1. Algorithm: ______ - Algorithm for solving subtraction. Subtract each place value separately beginning with the largest and working to the smallest.
  2. 2. Property - An operation is associative if regrouping the terms does not change the outcome. (a + b) + c = a + (b + c)
  3. 4. Algorithm: _________ - Algorithm for solving subtraction. Align numbers vertically based on place value and then ensure all top numbers are equal or larger than the bottom numbers.
  4. 5. - A fraction with a polynomial in the numerator, denominator, or both. (2x + 6)/7
  5. 8. Algorithm: _______ - Algorithm for solving subtraction. Start with the number that is being subtracted and count up to the original amount with each step looking for the next base-10 number.
  6. 13. Algorithm: _______ - Algorithm for solving multiplication. Draw a lattice with diagonals in each box Write one factor across the top and one along the right side (58 x 213) Multiply each number and write the answer in the box with the tens digit on top (Top left box is 5 x 2 = 10) Add the diagonals beginning in the bottom right corner (4) If the sum is greater than 10, move the 1 to the next diagonal The answer will be along the left side and bottom (red arrow).
  7. 16. - The process of eliminating a radicals or imaginary number from the denominator of an algebraic fraction. c/√a×√a/√a=(c√a)/√(a^(2 ) )=(c√a)/a