Practice Problems

Addition & Subtraction

328 + 467

Solution Steps:

  1. Break into place values: (300 + 400) + (20 + 60) + (8 + 7)
  2. Add hundreds: 300 + 400 = 700
  3. Add tens: 20 + 60 = 80
  4. Add ones: 8 + 7 = 15
  5. Combine: 700 + 80 + 15 = 795
Answer: 795

543 - 268

Solution Steps:

  1. Use place value method
  2. Start with hundreds: 500 - 200 = 300
  3. Then tens: 40 - 60 (need to borrow)
  4. Adjust: 300 becomes 290, 40 becomes 140
  5. 140 - 60 = 80
  6. Finally ones: 3 - 8 (need to borrow)
  7. Adjust and complete: 275
Answer: 275

Multiplication

24 × 15

Solution Steps:

  1. Break 15 into (10 + 5)
  2. Calculate 24 × 10 = 240
  3. Calculate 24 × 5 = 120
  4. Add results: 240 + 120 = 360
Answer: 360

32 × 99

Solution Steps:

  1. Think of 99 as (100 - 1)
  2. Calculate 32 × 100 = 3,200
  3. Subtract 32 × 1 = 32
  4. Final answer: 3,200 - 32 = 3,168
Answer: 3,168

Percentages

Calculate 15% of 80

Solution Steps:

  1. Break 15% into 10% + 5%
  2. 10% of 80 = 8
  3. 5% is half of 10%, so 5% of 80 = 4
  4. Add: 8 + 4 = 12
Answer: 12

What is 25% of 120?

Solution Steps:

  1. 25% is one quarter
  2. Divide 120 by 4
  3. 120 ÷ 4 = 30
Answer: 30

Division & Business Math

Calculate Earnings Per Share: $12,000 profit ÷ 1,000 shares

Solution Steps:

  1. Convert the problem to: 12000 ÷ 1000
  2. Think of it as moving decimal points: 12000 → 12.0
  3. Final calculation: $12.00 per share
Answer: $12.00 per share

Profit Margin: $8,000 profit ÷ $20,000 revenue × 100

Solution Steps:

  1. First divide: 8000 ÷ 20000 = 0.4
  2. Convert to percentage: 0.4 × 100 = 40%
  3. This shows a 40% profit margin
Answer: 40%

Cost Per Unit: $5,000 total cost ÷ 250 units

Solution Steps:

  1. Set up division: 5000 ÷ 250
  2. Break down: 5000 = 20 × 250
  3. Therefore: $20 per unit
Answer: $20

Market Share: 300 sales ÷ 1,500 total market sales × 100

Solution Steps:

  1. Divide: 300 ÷ 1500 = 0.2
  2. Convert to percentage: 0.2 × 100 = 20%
  3. This represents 20% market share
Answer: 20%
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