(a) Write the following in order, starting with the smallest.
0.43 \(\quad \frac{4}{9}\) \(\quad 41\)
(b) Only one of the following statements is correct.
$\sin 30^{\circ} \neq 0.5$
$4^2 > 16$
$0.3 < \frac{1}{3}$
Put a ring around the correct statement.
(a) Ans: \(0.43 < \frac{4}{9} < 41\)
Convert \(\frac{4}{9}\) to a decimal (\(\approx 0.444…\)). Since \(0.43 < 0.444… < 41\), the order is \(0.43 < \frac{4}{9} < 41\).
(b) Ans: \(0.3 < \frac{1}{3}\)
1. \(\sin 30^{\circ} = 0.5\) → Incorrect.
2. \(4^2 = 16\) → Incorrect.
3. \(\frac{1}{3} \approx 0.333… > 0.3\) → Correct.
(a) The temperature on Monday was -7°C.
The temperature on Tuesday was 5°C lower than on Monday.
The temperature on Wednesday was 8°C higher than on Tuesday.
Find the temperature on Wednesday.
(b) Kyra has a faulty thermometer.
It always shows the temperature as 2°C higher than the actual temperature.
The temperature on the thermometer is T°C.
Write an expression, in terms of T, for the actual temperature.
(a) −4°C
(b) T − 2
Since the thermometer reads 2°C higher than actual, subtract 2 from the displayed temperature (T) to get the actual temperature.
Put one pair of brackets in each calculation to make it correct.
(a) 15 + 12 – 3 × 4 = 51
(b) 15 + 12 – 3 × 4 = 96
Ans (a): 15 + (12 – 3) × 4 = 51
First operation in brackets: 12 – 3 = 9
Then multiply: 9 × 4 = 36
Finally add: 15 + 36 = 51
Ans (b): (15 + 12 – 3) × 4 = 96
First operations in brackets: 15 + 12 – 3 = 24
Then multiply: 24 × 4 = 96
