Rounding Estimation and Approximation
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Rounding Estimation and Approximation — Free MYP2 Mathematics Practice Questions

1QuestionEstimating Products and QuotientsConcept Practice
2 marks~3 minCriterion A
A rectangle has side lengths of 7.87.8 cm and 4.24.2 cm.
a
State the value of each side length rounded to the nearest whole number. [1]
b
Estimate the area of the rectangle by multiplying your rounded values. Give your answer in cm². [1]
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Solutions

2QuestionEstimating Products and QuotientsAssessment Practice
3 marks~5 minCriterion B
The table shows four products and their estimates, found by rounding each factor to one significant figure.

Exact product124783126
Estimated product105080130
a
Identify which exact product has the largest difference from its estimated product. [1]
b
Calculate the percentage error for the pair (47, 50). [1]
c
Compare how close the estimated products are to the exact products as the values increase. [1]
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Solutions

3QuestionEstimating Products and QuotientsAssessment Practice
5 marks~8 minCriterion D
A student plans a school bake sale and estimates the cost of 8 packets of chocolate chips, each priced at 19.90 dollars, by rounding to 20 dollars:

20×8=160 dollars20 \times 8 = 160 \text{ dollars}
a
Calculate the actual total cost of 8 packets at 19.90 dollars each. [1]
b
The student's estimate gives an error of 0.80 dollars. Calculate the percentage error and explain whether the estimate is accurate enough for budget planning. [2]
c
Describe an alternative estimation strategy and compare it to the student's method, stating which gives a more useful result. [2]
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Solutions

4QuestionRounding Whole NumbersAssessment Practice
6 marks~9 minCriterion C
Two students disagree about rounding 4 7894\,789 to the nearest ten.
Aisha says the answer is 4 7904\,790. Ben says the answer is 4 8004\,800.
a
Identify which student is correct. State the rounding rule for the nearest ten and use the ones digit of 4 7894\,789 to support your answer. [2]
b
Draw a number line from 4 7804\,780 to 4 8004\,800, marking 4 7894\,789 on it. Explain how the number line shows which multiple of ten 4 7894\,789 is closest to. [2]
c
Compare rounding to the nearest ten with rounding to the nearest hundred. Explain which process gives 4 8004\,800 and why Ben's answer uses the wrong process. [2]
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Solutions

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