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Suppose $a = \frac{b}{7}$, where $b = 22$ - HSC - SSCE Mathematics Standard - Question 6 - 2021 - Paper 1

Question 6

$Suppose-$a-=-\frac{b}{7}$,-where-$b-=-22$-HSC-SSCE Mathematics Standard-Question 6-2021-Paper 1.png$

Suppose $a = \frac{b}{7}$, where $b = 22$. What is the value of $a$, correct to three significant figures? A. 3.14 B. 3.15 C. 3.142 D. 3.143

Worked Solution & Example Answer:Suppose $a = \frac{b}{7}$, where $b = 22$ - HSC - SSCE Mathematics Standard - Question 6 - 2021 - Paper 1

Step 1

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Answer

Given the equation, we substitute the value of $b$ :

$a = \frac{22}{7}$

Calculating this gives:

$a \approx 3.142857...$

Step 2

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Answer

To express $a$ to three significant figures, we round $3.142857...$ to $3.14$ .

Thus, by rounding up the last digit, we obtain:

$a \approx 3.14$

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