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### MEAP Preparation - Grade 7 Mathematics1.137 Properties of Multiplication in Integers

 Property I: For any two integers a,b their product axb is also a integer. Examples: 2x(-3) = -6 (-3)x(-2) = 6 Property II: For any three integers a, b, and c, ax(bxc) = (axb)xc. Example: (-4)x[(-3)x5] = [(-4)x(-3)]x5 = 60 Property III: For any two integers a and b, axb = bxa. Example: 2x(-3) =3(-2) = -6 Property IV: For any integer a; ax0 = 0xa = 0. Examples: 6x0 = 0 (-7)x0 = 0 Property V: For any integer a; ax1 = 1xa = a. Examples: 1x7 = 7 1x(-8) = -8 Property VI: For any three integers a, b, and c; ax(b+c) = (axb)+(axc). Example: 2x[3+(-2)] = (2x3)+[2x(-2)] = 2 Directions: Solve the following multiplication problems. Also write at least five examples of your own for each property.
 Q 1: For any integer a; ax1 = 1xa = _____?aa+11 Q 2: For any two integers a and b, their product axb will always be ___________.an integera negative integera positive integer Q 3: 5x(-20)=____?100-100 Q 4: 5x[(-8)+2)=_________?50-30 Q 5: (-5)x(6x3) = ?90-90 Q 6: 5x(8+2) = _____?50-50 Q 7: For any integer a; ax0 = 0xa = ________?a01 Q 8: 5x[(-6)x5] = ?-150150 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!