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Rounding off according to the context Simplified Revision Notes

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Rounding off according to the context

1. General Rounding Rules

When rounding numbers, the decision to round up or down depends on the context.

Standard Rounding Rule

  • Digits 1 to 4 → Round down to the nearest whole number.
  • Digits 5 to 9 → Round up to the nearest whole number.
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2. Rounding in Practical Situations

  • In real-life contexts, rounding off may be necessary for practicality and convenience.
  • However, some situations require careful consideration to ensure accuracy.
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Example: South African Currency Rounding

  • The 5c coin is no longer in use, so cash payments are rounded to the nearest 5c.
  • Card and digital payments are not rounded.
  • Example:
  • If the total is R15.83, it is rounded down to R15.80 for cash payments.
  • If the total is R15.86, it is rounded up to R15.90 for cash payments.
  • Card payments remain R15.83.
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3. Worked Examples

Worked Example 1: Rounding for Packaging

A school is catering for 54 learners, and muffins are sold in packs of 6. How many packs should they buy?

  • 54÷6=954 ÷ 6 = 9 (exact answer, no rounding needed).
  • Answer: 9 packs.

Worked Example 2: Rounding for Transport

A school trip to the Montecasino Bird Park requires 36 learners to travel by bus. Each bus holds 60 passengers. How many buses are needed?

  • 36÷60=0.636 \div 60 = 0.6 → Since a fraction of a bus is not possible, round up.
  • Answer: 1 bus is needed.

Worked Example 3: Rounding for Seating Arrangements

A theatre has 250 seats, and 292 learners are attending. How many empty seats will remain after seating all learners?

  • 292250=42292 - 250 = 42 learners need additional seating.
  • Answer: 42 learners won't be seated.

Worked Example 4: Rounding for Home Improvement

A homeowner is installing blinds in windows that are 2.8m wide. Each blind covers 1m. How many blinds are needed?

  • 2.8÷1=2.82.8 \div 1 = 2.8 → Since a fraction of a blind is not possible, round up.
  • Answer: 3 blinds are needed.
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4. Key Takeaways

  • Always consider the context when rounding numbers.
  • Round up when dealing with whole items, such as seats, buses, or packaging.
  • Round down when it benefits practicality, such as currency rounding.
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