4.2.2 Decimals, PT3 Practice

Question 5:
Calculate the value of $\frac{4}{5}+15.4÷4$ and express the answer correct to one decimal place.

Solution:

Question 6:
Calculate the value of 84 – 3(14 + 48 ÷ 6) =

Solution:
$\begin{array}{l}84-3\left(14+48÷6\right)\\ =84-3\left[14+\left(48÷6\right)\right]\\ =84-3\left(14+8\right)\\ =84-3\left(22\right)\\ =84-66\\ =18\end{array}$

Question 7:

Solution:

Question 8:

Solution:
$\begin{array}{l}\left(8.4-2.64\right)÷\frac{4}{3}\\ ={\overline{)5.76}}^{1.44}×\frac{3}{\overline{)4}}\\ =4.32\end{array}$

4.2.1 Decimals, PT3 Practice

Question 1:
62.4 – 36.02 + 12.6 =

Solution:

Question 2:
4.76 × 7.2 ÷ 0.3 =

Solution:
$\begin{array}{l}4.76×7.2÷0.3\\ =34.272÷0.3\\ =\frac{34.272}{0.3}\\ =\frac{34.272×10}{0.3×10}\\ =\frac{342.72}{3}\\ =114.24\end{array}$

Question 3:
0.12 × (5.9 – 1.33) ÷ 0.8 =

Solution:
$\begin{array}{l}0.12×\left(5.9-1.33\right)÷0.8\\ =0.12×4.57÷0.8\\ =0.5484÷0.8\\ =\frac{0.5484}{0.8}\\ =\frac{0.5484×10}{0.8×10}\\ =\frac{5.484}{8}\\ =0.6855\end{array}$

Question 4:
14.83 + (20.04 – 10.68) ÷ 1.8 =

Solution:
$\begin{array}{l}14.83+\left(20.04-10.68\right)÷1.8\\ =14.83+9.36÷1.8\\ =14.83+\frac{9.36×10}{1.8×10}\\ =14.83+\frac{93.6}{18}\\ =14.83+5.2\\ =20.03\end{array}$