Online worksheet ยท 2 of 4

Use endpoints that maximise the expression - Online practice 2

Read the information, then answer the questions. An adult may read the instructions aloud. Show your working where asked.

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Positive lengths a and b display 8 cm and 3 cm, each rounded to the nearest centimetre using halfway-up rounding. Thus 7.5 <= a < 8.5 and 2.5 <= b < 3.5. Keep endpoint inclusion explicit; the displayed values are not exact.

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  1. Give the interval for a+b from the displayed 8 cm and 3 cm.
  2. Give exact lower and upper limiting bounds for a/b, and state whether either is attained.
  3. Why must the numerator and denominator endpoints be chosen differently for a quotient?

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