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3. Find the exact value of: (a) 18.7-3.4^2 (2 marks (b) (5.3+7.39)/(1.35) (2 marks (c) (3.45times 6.25)/(67.3-45.9) (2 marks

Pergunta

3. Find the exact value of:
(a) 18.7-3.4^2
(2 marks
(b) (5.3+7.39)/(1.35)
(2 marks
(c) (3.45times 6.25)/(67.3-45.9)
(2 marks

3. Find the exact value of: (a) 18.7-3.4^2 (2 marks (b) (5.3+7.39)/(1.35) (2 marks (c) (3.45times 6.25)/(67.3-45.9) (2 marks

Solução

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MirellaProfissional · Tutor por 6 anos

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Let's solve each part of the question step by step:<br /><br />(a) $18.7 - 3.4^2$<br /><br />To find the exact value, we need to calculate the square of 3.4 and then subtract it from 18.7.<br /><br />$3.4^2 = 3.4 \times 3.4 = 11.56$<br /><br />Now, subtract this value from 18.7:<br /><br />$18.7 - 11.56 = 7.14$<br /><br />Therefore, the exact value of (a) is 7.14.<br /><br />(b) $\frac{5.3 + 7.39}{1.35}$<br /><br />To find the exact value, we need to add 5.3 and 7.39, and then divide the sum by 1.35.<br /><br />$5.3 + 7.39 = 12.69$<br /><br />Now, divide this sum by 1.35:<br /><br />$\frac{12.69}{1.35} = 9.4$<br /><br />Therefore, the exact value of (b) is 9.4.<br /><br />(c) $\frac{3.45 \times 6.25}{67.3 - 45.9}$<br /><br />To find the exact value, we need to multiply 3.45 by 6.25, and then divide the product by the difference between 67.3 and 45.9.<br /><br />$3.45 \times 6.25 = 21.5625$<br /><br />Now, subtract 45.9 from 67.3:<br /><br />$67.3 - 45.9 = 21.4$<br /><br />Finally, divide the product by this difference:<br /><br />$\frac{21.5625}{21.4} = 1.005$<br /><br />Therefore, the exact value of (c) is approximately 1.005.
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