Grade 11 MATHEMATICAL LITERACY REVISION Show ALL your working. Round off to TWO decimal places unless…

Question

Grade 11 MATHEMATICAL LITERACY REVISION Show ALL your working. Round off to TWO decimal places unless otherwise stated. QUESTION 1 1 Calculate each of the following: 1.1 4 3/7 × (45 – 37) 1.2 24% of R 1 240

ScanSolve AI Tutor · Accepted Answer

Here are the calculations for Question 1.1:

1.1.1 Calculate $4\frac{3}{7} \times (45 - 37)^3$

Convert the mixed number to an improper fraction and simplify the expression in the parentheses.
$4\frac{3}{7} = \frac{(4 \times 7) + 3}{7} = \frac{28 + 3}{7} = \frac{31}{7}$ $(45 - 37) = 8$
Substitute the simplified values back into the expression and calculate the power.
$\frac{31}{7} \times (8)^3 = \frac{31}{7} \times (8 \times 8 \times 8)$ $\frac{31}{7} \times 512$
Multiply the fraction by the integer.
$\frac{31 \times 512}{7} = \frac{15872}{7}$
Convert the fraction to a decimal and round to two decimal places as instructed.
$\frac{15872}{7} \approx 2267.42857...$
Rounded to two decimal places:
$\boxed{\text{2267.43}}$
1.1.2 Calculate $24\%$ of R 1 240
Convert the percentage to a decimal.
$24\% = \frac{24}{100} = 0.24$
Multiply the decimal by the given amount.
$0.24 \times \text{R } 1240$
Perform the multiplication.
$0.24 \times 1240 = 297.6$
The amount is in Rands, so the answer is:
$\boxed{\text{R 297.60}}$

Grade 11 MATHEMATICAL LITERACY REVISION Show ALL your working. Round off to TWO decimal places unless otherwise stated. QUESTION 1 1 Calculate each of the following: 1.1 4 3/7 x (45 – 37) 1.2 24% of R 1 240

Answer

Step-by-step solution

Convert the mixed number to an improper fraction and simplify the expression in the parentheses.

Substitute the simplified values back into the expression and calculate the power.

Multiply the fraction by the integer.

Convert the fraction to a decimal and round to two decimal places as instructed.

Convert the percentage to a decimal.

Multiply the decimal by the given amount.

Perform the multiplication.

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