To find the numerical equivalent of 72⋅73 without using a calculator or directly multiplying the numbers, you can use the following method:
Step 1: Rewrite the multiplication as a sum:
72⋅73 = (70 + 2)⋅(70 + 3)
Step 2: Apply the distributive property:
(70 + 2)⋅(70 + 3) = 70⋅70 + 2⋅70 + 3⋅70 + 2⋅3
Step 3: Simplify each term:
70⋅70 = 4900
2⋅70 = 140
3⋅70 = 210
2⋅3 = 6
Step 4: Add the simplified terms:
4900 + 140 + 210 + 6 = 5256
Therefore, the numerical equivalent of 72⋅73 is indeed 5256.