Appendix A
Practice B
1) Using the numbers 2,345 and 345 write them in expanded form using the powers of ten and then
a. Add them
b. Subtract them
c. Multiply them
Be sure to show all of your work!
2) Using the numbers 43,699 and 7,366 write them in expanded form using the powers of ten and then
a. Add them
b. Subtract them
c. Multiply them
Be sure to show all of your work!
Practice C
Do the following problems without "borrowing" or "carrying." Write out your answers in expanded form.
Practice D
1) Express the following as a base ten number in expanded form and then determine two numbers that when added together total this number in expanded form. You will have to substitute the value of ten in for x.
36x 5 + 19x 3 +10x 2+ 9x
1) Using the polynomial -4x 4+ 6x 3-6x 2-5x 1 determine two numbers, written in base ten expanded form, that when subtracted would give us this number written in base ten expanded form. You will have to substitute the value of ten in for x.
Practice E
Listed below is a problem that was presented to me in a Graduate level Discrete Mathematics course by Dr. Harold Reiter at the University of North Carolina at Charlotte. The problem is certainly a high level problem but it can be solved using the knowledge of place value and Algebra.
In the problem below abcde represent certain digits and their respective place values. The 4 also is a digit and its value is determined by its location or place. Solve for abcde.
4(abcde4) = 4abcde
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