Problem Explanation:
The task involves calculating percentages of given numbers and then either increasing or decreasing the original numbers by those percentages. The goal is to fill in the table and solve the problems step by step.
Step-by-Step Solution:
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Part 1: Fill in the Table
The table requires calculating 10%, 20%, and 5% of each number provided. Here's how to do it:
1.
10% Calculation: Multiply the number by 0.10.
2.
20% Calculation: Multiply the number by 0.20.
3.
5% Calculation: Multiply the number by 0.05.
Let's calculate these for each number:
| Question | Number | 10% | 20% | 5% |
|----------|--------|------------|------------|------------|
| 1. | 240 | \(240 \times 0.10 = 24\) | \(240 \times 0.20 = 48\) | \(240 \times 0.05 = 12\) |
| 2. | 520 | \(520 \times 0.10 = 52\) | \(520 \times 0.20 = 104\) | \(520 \times 0.05 = 26\) |
| 3. | 2600 | \(2600 \times 0.10 = 260\) | \(2600 \times 0.20 = 520\) | \(2600 \times 0.05 = 130\) |
| 4. | 780 | \(780 \times 0.10 = 78\) | \(780 \times 0.20 = 156\) | \(780 \times 0.05 = 39\) |
| 5. | 60 | \(60 \times 0.10 = 6\) | \(60 \times 0.20 = 12\) | \(60 \times 0.05 = 3\) |
| 6. | 90 | \(90 \times 0.10 = 9\) | \(90 \times 0.20 = 18\) | \(90 \times 0.05 = 4.5\) |
So, the completed table looks like this:
| Question | Number | 10% | 20% | 5% |
|----------|--------|-----|-----|-----|
| 1. | 240 | 24 | 48 | 12 |
| 2. | 520 | 52 | 104 | 26 |
| 3. | 2600 | 260 | 520 | 130 |
| 4. | 780 | 78 | 156 | 39 |
| 5. | 60 | 6 | 12 | 3 |
| 6. | 90 | 9 | 18 | 4.5 |
---
####
Part 2: Solve the Problems
Now, we will solve each problem step by step.
1.
Find 240 increased by 10%
- 10% of 240 = \(240 \times 0.10 = 24\)
- 240 + 24 = 264
2.
Find 780 decreased by 10%
- 10% of 780 = \(780 \times 0.10 = 78\)
- 780 - 78 = 702
3.
Find 90 increased by 10%
- 10% of 90 = \(90 \times 0.10 = 9\)
- 90 + 9 = 99
4.
Find 520 decreased by 10%
- 10% of 520 = \(520 \times 0.10 = 52\)
- 520 - 52 = 468
5.
Find 240 increased by 20%
- 20% of 240 = \(240 \times 0.20 = 48\)
- 240 + 48 = 288
6.
Find 60 decreased by 20%
- 20% of 60 = \(60 \times 0.20 = 12\)
- 60 - 12 = 48
7.
Find 220 increased by 20%
- 20% of 220 = \(220 \times 0.20 = 44\)
- 220 + 44 = 264
8.
Find 840 decreased by 20%
- 20% of 840 = \(840 \times 0.20 = 168\)
- 840 - 168 = 672
---
Final Answers:
1. 240 increased by 10% =
264
2. 780 decreased by 10% =
702
3. 90 increased by 10% =
99
4. 520 decreased by 10% =
468
5. 240 increased by 20% =
288
6. 60 decreased by 20% =
48
7. 220 increased by 20% =
264
8. 840 decreased by 20% =
672
Boxed Final Answer:
\[
\boxed{264, 702, 99, 468, 288, 48, 264, 672}
\]
Parent Tip: Review the logic above to help your child master the concept of percent change problems worksheet.