The attendance at the Ireland v Romania game in the 2015 Rugby World Cup was 89,267. (a) Hugo rounded 89,267 to the nearest 10. Write down Hugo’s estimate of the attendance. (b) Danny rounded 89,267 to 2 significant figures. Write down Danny’s estimate of the attendance. (c) Jenny rounded 89,267 to 89,300. Write down Jenny’s estimate in the form $a \times 10^n$, where $1 \leq a < 10$ and $n \in \mathbb{N}$.

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The attendance at the Ireland v Romania game in the 2015 Rugby World Cup was 89,267 - Junior Cycle Mathematics - Question 7 - 2016

Question 7

The attendance at the Ireland v Romania game in the 2015 Rugby World Cup was 89,267. (a) Hugo rounded 89,267 to the nearest 10. Write down Hugo’s estimate of the at... show full transcript

Worked Solution & Example Answer:The attendance at the Ireland v Romania game in the 2015 Rugby World Cup was 89,267 - Junior Cycle Mathematics - Question 7 - 2016

Step 1

Hugo rounded 89,267 to the nearest 10.

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Answer

To round 89,267 to the nearest 10, we look at the units digit, which is 7. Since 7 is 5 or greater, we round up. Thus, Hugo's estimate is 89,270.

Step 2

Danny rounded 89,267 to 2 significant figures.

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Answer

To round 89,267 to 2 significant figures, we consider the first two digits, 8 and 9. The next digit (2) indicates we round down. Therefore, Danny's estimate is 89,000.

Step 3

Jenny rounded 89,267 to 89,300.

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Answer

To express 89,300 in the form $a \times 10^n$ , we write it as $8.93 \times 10^4$ , where $1 \leq a < 10$ and $n = 4$ .

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