1.4.1 Decimals Revision, PT3 Practice - Mathematics

Question 1:
62.4 – 36.02 + 12.6 =

Solution:

Question 2:
4.76 × 7.2 ÷ 0.3 =

Solution:

\begin{array}{l} 4.76 \times 7.2 \div 0.3 \\ = 34.272 \div 0.3 \\ = \frac{34.272}{0.3} \\ = \frac{34.272 \times 10}{0.3 \times 10} \\ = \frac{342.72}{3} \\ = 114.24 \end{array}

$\begin{array}{l} 4.76 \times 7.2 \div 0.3 \\ = 34.272 \div 0.3 \\ = \frac{34.272}{0.3} \\ = \frac{34.272 \times 10}{0.3 \times 10} \\ = \frac{342.72}{3} \\ = 114.24 \end{array}$

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

Solution:

\begin{array}{l} 0.12 \times (5.9 - 1.33) \div 0.8 \\ = 0.12 \times 4.57 \div 0.8 \\ = 0.5484 \div 0.8 \\ = \frac{0.5484}{0.8} \\ = \frac{0.5484 \times 10}{0.8 \times 10} \\ = \frac{5.484}{8} \\ = 0.6855 \end{array}

$\begin{array}{l} 0.12 \times (5.9 - 1.33) \div 0.8 \\ = 0.12 \times 4.57 \div 0.8 \\ = 0.5484 \div 0.8 \\ = \frac{0.5484}{0.8} \\ = \frac{0.5484 \times 10}{0.8 \times 10} \\ = \frac{5.484}{8} \\ = 0.6855 \end{array}$

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

Solution:

\begin{array}{l} 14.83 + (20.04 - 10.68) \div 1.8 \\ = 14.83 + 9.36 \div 1.8 \\ = 14.83 + \frac{9.36 \times 10}{1.8 \times 10} \\ = 14.83 + \frac{93.6}{18} \\ = 14.83 + 5.2 \\ = 20.03 \end{array}

$\begin{array}{l} 14.83 + (20.04 - 10.68) \div 1.8 \\ = 14.83 + 9.36 \div 1.8 \\ = 14.83 + \frac{9.36 \times 10}{1.8 \times 10} \\ = 14.83 + \frac{93.6}{18} \\ = 14.83 + 5.2 \\ = 20.03 \end{array}$

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