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RESULTS, HINTS, ETC., FOR THE EXERCISES

ON ADDITION AND SUBTRACTION.

1. See Section I., p. 12. 2. Section II., pp. 1, 4, 5. 3. Section II., p. 2, &c. 4. Section 1., pp. 5-8. 5. Section II., p. 16. 6. Section II., p. 30, &c. 7. Section I., pp. 7, 23. Section II., p. 22. 8. Section II., p. 28, &c. Section III., p. 8, &c.

II. 1. See Section IV., Art. 3, p. 2: Art. 9, p. 10 : and Art. 7, p. 6.

2. Two numbers are equal when each of them consists of the same number of units. When geometrical magnitudes are equal, see School Euclid, Notes on the Axioms, p. 46.

3. The sum is +12a ; the difference +7a.
4. The sum is – 12a ; the difference - 7a.
5. The sum is + 2a; the difference +7a.
6. The sum is +2a ; the difference +26.
8. See Section IV., Art. 9, p. 17.

9. 8. 10. 2(m+n+p).
11. 2ma the sum ; 2na the difference.
12. See Section IV., Art. 7, p. 5.

III. 1. 3a+26+c. 2. -a +26-C. 3. a-C. 4. – 2a+c. 5. a-C. 6.6+d. 7.6-4. 8. a+b+c-d. 9. 5(a+b)-15(c-d). 10. -2(a+c-d). 11. 96. 12. 10a - 20.

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