Certainly, let's solve each part of the question step by step:
### Part (i)
We need to evaluate the expression:
[tex]\[ 26 + \{ -13 + 1 \} \][/tex]
Step-by-step solution:
1. First, solve the inner expression:
[tex]\[ -13 + 1 = -12 \][/tex]
2. Next, add this result to 26:
[tex]\[ 26 + (-12) = 14 \][/tex]
Hence, the value for part (i) is [tex]\( 14 \)[/tex].
### Part (ii)
We need to evaluate the expression:
[tex]\[ \{ -20 + 5 \} + \{ -5 + 2 \} \][/tex]
Step-by-step solution:
1. First, solve each inner expression:
[tex]\[ -20 + 5 = -15 \][/tex]
[tex]\[ -5 + 2 = -3 \][/tex]
2. Next, add these results together:
[tex]\[ -15 + (-3) = -18 \][/tex]
Hence, the value for part (ii) is [tex]\( -18 \)[/tex].
### Part (iii)
We need to evaluate the expression:
[tex]\[ \frac{46 \times 5 \times 0}{4} \][/tex]
Step-by-step solution:
1. First, perform the multiplication in the numerator:
[tex]\[ 46 \times 5 \times 0 = 0 \][/tex]
2. Next, divide the result by 4:
[tex]\[ \frac{0}{4} = 0.0 \][/tex]
Hence, the value for part (iii) is [tex]\( 0.0 \)[/tex].
### Summary
- The value for part (i) is [tex]\( 14 \)[/tex].
- The value for part (ii) is [tex]\( -18 \)[/tex].
- The value for part (iii) is [tex]\( 0.0 \)[/tex].
