It looks like you've uploaded a document titled
"Math for Plumbing Apprentices", which contains a set of arithmetic problems that apprentices are expected to solve without using a calculator. The instructions emphasize practicing mental math and problem-solving skills, which are essential in the plumbing trade.
Here is the content of the worksheet as described:
---
Do not use a calculator for questions 1–5
1. Add the following numbers: 14, 102, 8, 139
Answer: _______
2. Add the following numbers: 1, 50, 113.94, 8.47, 1,200
Answer: _______
3. Subtract 1528 from 2013
Answer: _______
4. Subtract 16.078 from 87.64
Answer: _______
5. Multiply 47 by 7
Answer: _______
---
Let’s solve each one step by step.
---
Problem 1: Add 14 + 102 + 8 + 139
Break it down:
- 14 + 102 = 116
- 116 + 8 = 124
- 124 + 139 = 263
✔ Answer: 263
---
Problem 2: Add 1 + 50 + 113.94 + 8.47 + 1,200
Add step by step:
- 1 + 50 = 51
- 51 + 113.94 = 164.94
- 164.94 + 8.47 = 173.41
- 173.41 + 1,200 = 1,373.41
✔ Answer: 1,373.41
---
Problem 3: Subtract 1528 from 2013
That is:
2013 − 1528
Break it down:
- 2013 − 1500 = 513
- 513 − 28 = 485
✔ Answer: 485
---
Problem 4: Subtract 16.078 from 87.64
We need to align decimals:
```
87.640
- 16.078
________
```
Now subtract:
- 0 − 8 → borrow: 10 − 8 = 2 (but need to carry through)
Better to do digit by digit:
Start from right:
- 0 − 8 → can't do → borrow → 10 − 8 = 2, but next digit becomes 3 (since 4 became 3 after borrowing)
- 3 − 7 → can't do → borrow → 13 − 7 = 6, next digit becomes 5
- 5 − 0 = 5
- 7 − 6 = 1
- 8 − 1 = 7
Wait — let's write it properly:
```
87.640
- 16.078
________
```
Now subtract:
- Thousandths: 0 − 8 → borrow → 10 − 8 = 2 → carry over
- Hundredths: 3 (after borrow) − 7 → can't → borrow → 13 − 7 = 6 → carry over
- Tenths: 5 (after borrow) − 0 = 5
- Units: 6 − 6 = 0
- Tens: 8 − 1 = 7
So:
- 87.640 − 16.078 =
71.562
✔ Answer: 71.562
---
Problem 5: Multiply 47 by 7
Break it down:
- 40 × 7 = 280
- 7 × 7 = 49
- 280 + 49 = 329
✔ Answer: 329
---
✔ Final Answers:
1.
263
2.
1,373.41
3.
485
4.
71.562
5.
329
---
These problems help develop mental math and precision — critical skills for plumbing apprentices when measuring pipes, calculating materials, or estimating costs. Practicing without a calculator builds confidence and accuracy in real-world situations.
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Parent Tip: Review the logic above to help your child master the concept of plumbing math worksheet.
