Elementary arithmetic, with brief notices of its history... by Robert Potts.

14

EXERCISES.
I.
Find the sums of the following sets of numbers, and express the
results in words:
1. 5, 12, 20, 15, 35, and 50.
2. 37, 8, 99, 105, 250, 700, and 2.
3. 5000, 500, 20, 90, 9000, and 1.
4. 3584, 2796, 6416, 7204, 1897, and 8103.
5. 10000, 50505, 171717, 1008, and 201.
6. 235762, 105501, 287788, and 799999.
7. 1234567, 8765433, 6894703, 3105297, 5712843, and 4187157.
8. 57, 1876423, 1587, 999, and 3334447.
9. 100, 314500, 1237, 94, and 3000000.
10. 5876432100, 1284, and 387142659.
II.
1. Explain why in the addition of numbers the operation is begun
at the unit's place. Is this necessary?
2. Shew that 5 and 7 make 12; and state explicitly every definition and axiom in the proof.
3. Add 3041 to 7198; and explain the operation.
4. Arrange the nine digits, 1, 2, 3, 4, 5, 6, 7, 8, 9, in three lines
with three digits in each line, so that the sums of three digits taken in
every possible direction may be always equal to 15.
5. Find the sum of all the numbers which can be formed with the
figures 1, 2, 3, 4; all the four figures being taken to form each number.
III.
Find the differences of the following numbers, and verify the
accuracy of the results:
1. 35 and 53.
2. 20000 and 999.
3. 478329 and 923874.
4. 1008425 and 100842.
5. 2784397 and 1234567.
6. 200000000 and 123456789.
7. 732584963 and 478342987.
8. 105723678 and 989456.
9. 10000001000 and 7077070077.
IV.
1. Subtract thirty millions twenty-six thousand and three, from
forty-five millions seven thousand and twenty-one; and find what
number must be added to the difference to make one hundred millions.