Question
Put one pair of brackets into this calculation to make it correct.
$$\begin{matrix}5&+&4&\times&3&+&9&=&53\end{matrix}$$
▶️Answer/Explanation
$5+4\times(3+9)=53$
$
5 + 4 \times (3 + 9)
$
First, calculate inside the brackets
$
3 + 9 = 12
$
$
4 \times 12 = 48
$
$
5 + 48 = 53
$
Question
Calculate.
$(\mathbf{a})\sqrt[3]{343}-\sqrt{40.96}$
$( \mathbf{b} )$ $( 192+ 4\times 16) ^{1. 25}$
▶️Answer/Explanation
(a) $0.6$
(b) $1024$
(a)
$
\sqrt[3]{343} – \sqrt{40.96}
$
\( \sqrt[3]{343} = 7 \) (because \( 7^3 = 343 \))
\( \sqrt{40.96} = 6.4 \)
$
7 – 6.4 = 0.6
$
(b)
$
(192 + 4 \times 16)^{1.25}
$
$
192 + 64 = 256
$
$
\sqrt[4]{256} = 4 \quad \text{(because \( 4^4 = 256 \))}
$
$
256^{1.25} = 256^{1 + \frac{1}{4}} = 256 \times 4 = 1024
$
Question
Write the following in order of size, smallest first.
0.52 0.5 0.53 \(\sqrt[3]{0.5}\)
Answer/Explanation
Ans: 0.53 0.52 0.5 \(\sqrt[3]{0.5}\)
Question
Write the following in order of size, smallest first.
0.47 \(\frac{8}{17}\) \(\sqrt{0.22}\) tan 25°
Answer/Explanation
Ans: tan 25° < \(\sqrt{0.22}\) <0.47 < \(\frac{8}{17}\)
Question
Solve the inequality.
\(3x – 1 \leq 11x + 2\)
Answer/Explanation
Ans:
\(x \geq – \frac{3}{8}\) oe