1. 

1. (a) $0.231\times {10}^4$;

2. (b) $0.326\times {10}^2$;

3. (c) $0.128\times {10}^{-1}$;

4. (d) $0.824\times {10}^5$

2. 

1. (a) $ϵ=-2;\delta \approx -8.7\times {10}^{-4}$;

2. (b) $ϵ=0.04;\delta \approx 1.2\times {10}^{-3}$;

3. (c) $ϵ=3.0\times {10}^{-5};\delta \approx 2.3\times {10}^{-3}$;

4. (d) $ϵ=-31;\delta \approx -3.8\times {10}^{-4}$

3. 

1. (a) ${(1.0101)}_2\times 2^4$;

2. (b) ${(1.1000)}_2\times 2^{-2}$;

3. (c) ${(1.0100)}_2\times 2^3$;

4. (d) $-{(1.1010)}_2\times 2^{-4}$

4. 

1. (a) $10,420,ϵ=-0.0018,\delta \approx -1.7\times {10}^{-7}$;

2. (b) $0,ϵ=-8,\delta \approx -1$;

3. (c) $1\times {10}^{-4},ϵ=5\times {10}^{-5},\delta =1$;

4. (d) $82,190,ϵ=25.7504,\delta \approx 3.1\times {10}^{-4}$

5. 

1. (a) $0.1043\times {10}^6$;

2. (b) $0.1045\times {10}^6$;

3. (c) $0.1045\times {10}^6$

8. 23

9. 

1. (a) $(1.00111000000000000000000{)}_2\times 2^3$ or 9.75