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Communicative property

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Intros
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Lessons
  1. Showing that a + b = b + a
  2. Why is it called the "commutative" property?
  3. Showing that a × b = b × a
  4. The general formulas for the commutative property
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Examples
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Lessons
  1. Commutative property equations
    Use the commutative property (for addition and multiplication) to fill in the blanks.
    1. 3 + __ = 2 + 3
    2. 810\frac{8}{10} + 510\frac{5}{10} + __ = 510\frac{5}{10} + 610\frac{6}{10} + 810\frac{8}{10}
    3. 0.8 × 0.5 = __ × 0.8
    4. 4 × 9 × aa = 9 × __ × 4
  2. Changing the order to add/multiply lists of numbers
    Do the operations in order, and then backwards order. Are the answers different?
    1. 0.8 + 0.2 + 0.6 + 0.9 =
    2. 15 + 23 + 37 + 44 =
    3. 25\frac{2}{5} × 610\frac{6}{10} × 89\frac{8}{9} =
    4. 5 × 3 × 4 × 2 × gg =
  3. Commutative property of addition word problem
    James and Scarlet both need to buy a pair of skates and a helmet. Store A sells the skates for $83.67. Store B sells the helmet for $54.29. James goes to store A first, then store B; Scarlet goes to store B first, then store A. Did they pay different amounts? Explain.
  4. Commutative property of multiplication word problem
    Felix has 24 pages of homework he must finish in 6 days. If he is going to do the same number of pages each day:
    1. How many pages must he complete each day?
    2. What other schedule(s) can he follow to finish his homework?
  5. Which wall will need more paint to cover its area?
    • A wall that is 5 12\frac{1}{2}m tall and 8m wide
    • A wall that is 8m tall and 5 12\frac{1}{2} m wide