Answer :
Sure, let's break down each expression and simplify it step by step:
### Simplify Part 5:
(a) 50 of 5 ÷ 10 + 3 - 7
1. First, calculate [tex]\(50 \times \left(\frac{5}{10}\right)\)[/tex].
- [tex]\(5 \div 10 = 0.5\)[/tex]
- [tex]\(50 \times 0.5 = 25\)[/tex]
2. Add 3 and subtract 7 from the result:
- [tex]\(25 + 3 = 28\)[/tex]
- [tex]\(28 - 7 = 21\)[/tex]
So, the simplified result is 21.
(b) 10 ÷ 5 of 2 + 6 - 3 of 5
1. Start with [tex]\(10 \div 5\)[/tex].
- [tex]\(10 \div 5 = 2\)[/tex]
2. Calculate [tex]\(2 \times 2\)[/tex].
- [tex]\(2 \times 2 = 4\)[/tex]
3. Work out [tex]\(3 \times 5\)[/tex].
- [tex]\(3 \times 5 = 15\)[/tex]
4. Finally, add 6 and subtract 15:
- [tex]\(4 + 6 = 10\)[/tex]
- [tex]\(10 - 15 = -5\)[/tex]
So, the simplified result is -5.
(c) 60 ÷ 12 + 5 of 8 - 5
1. Begin with [tex]\(60 \div 12\)[/tex].
- [tex]\(60 \div 12 = 5\)[/tex]
2. Calculate [tex]\(5 \times 8\)[/tex] (5 of 8).
- [tex]\(5 \times 8 = 40\)[/tex]
3. Add 5 and subtract 5:
- [tex]\(5 + 40 = 45\)[/tex]
- [tex]\(45 - 5 = 40\)[/tex]
So, the simplified result is 40.
(d) 200 ÷ 50 - 6 of 7 + 8
1. Start with [tex]\(200 \div 50\)[/tex].
- [tex]\(200 \div 50 = 4\)[/tex]
2. Calculate [tex]\(6 \times 7\)[/tex] (6 of 7).
- [tex]\(6 \times 7 = 42\)[/tex]
3. Subtract 42 and add 8:
- [tex]\(4 - 42 = -38\)[/tex]
- [tex]\(-38 + 8 = -30\)[/tex]
So, the simplified result is -30.
(e) [tex]\([20 \times \{40 - 6(7 - 2)\}] + 16\)[/tex]
1. Calculate inside the parentheses first: [tex]\(7 - 2 = 5\)[/tex].
2. Then, calculate [tex]\(6 \times 5\)[/tex].
- [tex]\(6 \times 5 = 30\)[/tex]
3. Subtract 30 from 40:
- [tex]\(40 - 30 = 10\)[/tex]
4. Multiply 20 by the result:
- [tex]\(20 \times 10 = 200\)[/tex]
5. Finally, add 16:
- [tex]\(200 + 16 = 216\)[/tex]
So, the simplified result is 216.
I hope this detailed explanation helps you understand the simplification process! If you have any further questions, feel free to ask.
### Simplify Part 5:
(a) 50 of 5 ÷ 10 + 3 - 7
1. First, calculate [tex]\(50 \times \left(\frac{5}{10}\right)\)[/tex].
- [tex]\(5 \div 10 = 0.5\)[/tex]
- [tex]\(50 \times 0.5 = 25\)[/tex]
2. Add 3 and subtract 7 from the result:
- [tex]\(25 + 3 = 28\)[/tex]
- [tex]\(28 - 7 = 21\)[/tex]
So, the simplified result is 21.
(b) 10 ÷ 5 of 2 + 6 - 3 of 5
1. Start with [tex]\(10 \div 5\)[/tex].
- [tex]\(10 \div 5 = 2\)[/tex]
2. Calculate [tex]\(2 \times 2\)[/tex].
- [tex]\(2 \times 2 = 4\)[/tex]
3. Work out [tex]\(3 \times 5\)[/tex].
- [tex]\(3 \times 5 = 15\)[/tex]
4. Finally, add 6 and subtract 15:
- [tex]\(4 + 6 = 10\)[/tex]
- [tex]\(10 - 15 = -5\)[/tex]
So, the simplified result is -5.
(c) 60 ÷ 12 + 5 of 8 - 5
1. Begin with [tex]\(60 \div 12\)[/tex].
- [tex]\(60 \div 12 = 5\)[/tex]
2. Calculate [tex]\(5 \times 8\)[/tex] (5 of 8).
- [tex]\(5 \times 8 = 40\)[/tex]
3. Add 5 and subtract 5:
- [tex]\(5 + 40 = 45\)[/tex]
- [tex]\(45 - 5 = 40\)[/tex]
So, the simplified result is 40.
(d) 200 ÷ 50 - 6 of 7 + 8
1. Start with [tex]\(200 \div 50\)[/tex].
- [tex]\(200 \div 50 = 4\)[/tex]
2. Calculate [tex]\(6 \times 7\)[/tex] (6 of 7).
- [tex]\(6 \times 7 = 42\)[/tex]
3. Subtract 42 and add 8:
- [tex]\(4 - 42 = -38\)[/tex]
- [tex]\(-38 + 8 = -30\)[/tex]
So, the simplified result is -30.
(e) [tex]\([20 \times \{40 - 6(7 - 2)\}] + 16\)[/tex]
1. Calculate inside the parentheses first: [tex]\(7 - 2 = 5\)[/tex].
2. Then, calculate [tex]\(6 \times 5\)[/tex].
- [tex]\(6 \times 5 = 30\)[/tex]
3. Subtract 30 from 40:
- [tex]\(40 - 30 = 10\)[/tex]
4. Multiply 20 by the result:
- [tex]\(20 \times 10 = 200\)[/tex]
5. Finally, add 16:
- [tex]\(200 + 16 = 216\)[/tex]
So, the simplified result is 216.
I hope this detailed explanation helps you understand the simplification process! If you have any further questions, feel free to ask.
