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, resulting in:

$89 270$

Thus, Hugo's estimate of the attendance 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, which are 89. The next digit is 2, which is less than 5, so we round down:

$89 000$

Therefore, Danny's estimate of the attendance is 89 000.

Step 3

Jenny rounded 89 267 to 89 300.

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Answer

In the form $a \times 10^n$ , where $1 \leq a < 10$ , we express 89 300 as:

$8.93 \times 10^4$

Thus, Jenny's estimate is $8.93 \times 10^4$ .

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