Page 113 - ArithBook5thEd ~ BCC

% " # 2
4 2 2 4
the symbol √ indicates the positive square root. For example, = because = .Note
9 3 3 9
that the square root of a positive fraction is not always a fraction:
√
%
2 2
= √ .
5 5
This is not a quotient of whole numbers (i.e., a fraction), since neither 2 nor 5 is a perfect square.

3.12.1 Exercises

Perform the operations. If the result is undefined, say so.
1 " 1 # 6
1. + − +
2 3 7

3 3 1 7
" # " #
2. −6 +4 + − 2 +
8 4 2 8
2 5 1
" # " # " #
3. −1 + −2 + −8
3 6 3
" # " # " #
1 1 1 1
4. 5 + −3 +4 + − 2 +(−4) + − +7
2 2 2 2
" #
−7
5. × 0
9
−7
" #
6. ÷ 0
9
" #" #
6 7
7. −
7 6
" #" #
6 1
8. −1 −1
7 2
1 2 3 4
" #" #" #" #
9. − − −
2 3 8 5
10. 0 ÷ (−1000)

4 25
" # " #
11. ÷ −
5 32
" # " #
1 7
12. −4 ÷ −1
2 8
3
13. −10 ÷ 5
4
−1
14. 100 ÷
4

Page 113