Answer:
a. Using the GCF and the Distributive Property to find the total number of stamps Mia, Alex, and Michael have:
28 + 49 + 77 = 154
= 7*4 + 7*7 + 7*11
= 7 (4 + 7 + 11)
= 7 (22)
= 154
Explanation:
a) Data and Calculations:
Number of stamps that Mia has = 28
Number of stamps that Alex has = 49
Number of stamps that Michael has = 77
GCF = 7
b) GCF = Greatest common factor. The distributive property shows that multiplying two numbers (factors) together will result in the same thing as breaking up one factor into two addends, multiplying both addends by the other factor, and adding together both products. The knowledge of GCF and the distributive property helps to change expressions from standard forms to factored forms.