Divisibility Tests Homework

Directions: Write legibly and in pencil. Complete the homework on time and by yourself. For each problem, write the instructions, label the solution, show all steps, and write the final answer in a sentence. Do not turn in your scratch work. Staple your pages together, in the correct order, and use this page as a cover sheet.

(1) Determine the highest power of that divides

(2) Determine the highest power of that divides

(3) Determine the highest power of that divides

(4) Determine the highest power of that divides

(5) Determine the highest power of that divides

(6) Determine the highest power of that divides

(7) Determine the highest power of that divides

(8) Determine the highest power of that divides

(9) Is divisible by 3 and 9?

(10) Is divisible by 3 and 9?

(11) Is divisible by 3 and 9?

(12) Is divisible by 3 and 9?

(13) Develop a test for divisibility by 37, based on the fact that Use this to check and for divisibility by 37.

(14) An old receipt has faded. It reads 88 chickens at a total of where and are unreadable digits. How much did each the chicken cost?

(15) Use a congruence modulo 9 to find the missing digit, indicated by a question mark:

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