[tex] - \frac{1}{5} \times ( - 0.4) \times 0.3 - 0.01064 \div ( - 0.14) =0.1 \\ 1) \: - \frac{1}{5} \times ( - 0.4) \times 0.3 = \frac{1 \times 2 \times 3}{5 \times 5 \times 10} = \frac{3}{125} = 0.024 \\ 2) \: 0.01064 \div ( - 0.14) = - 0.076 \\ 3) \: 0.024 -( - 0.076) = 0.024 + 0.076 = 0.1[/tex]
[tex]0.00936 \div ( - 0.18) - 0.7 \times ( - 0.3) \times ( - \frac{2}{5} ) = - 0.136 \\ 1) \: 0.00936 \div ( - 0.18) = - 0.052 \\ 2) \: 0.7 \times ( - 0.3) \times ( - \frac{2}{5} ) = \frac{7 \times 3 \times 2}{10 \times 10 \times 5} = \frac{21}{250} = 0.084 \\ 3) \: - 0.052 - 0.084 = - 0.136[/tex]
[tex] - 36 \div 25 - (2.4 + 2.7 \times 0.3) = - 4.65 \\ 1) \: - 36 \div 25 = - 1.44 \\ 2) \: 2.7 \times 0.3 = 0.81 \\ 3) \: 2.4 + 0.81 = 3.21 \\ 4) \: - 1.44 - 3.21 = - 4.65[/tex]
[tex]44 \div ( - 25) - (4.3 \times 0.8 - 3.7) = - 1.5 \\ 1) \: 44 \div ( - 25) = - 1.76 \\ 2) \: 4.3 \times 0.8 = 3.44 \\ 3) \: 3.44 -3 .7 = - 0.26 \\ 4) \: - 1.76 - ( - 0.26 )= - 1.76 + 0.26 = - 1.5[/tex]
[tex] - 2.5 \times ( \frac{2}{5} ) {}^{2} - 11.2 \div \frac{7}{9} = - 14.8\\ 1) \: (\frac{2}{5} ) {}^{2} = \frac{4}{25} \\ 2) \: - 2.5 \times \frac{4}{25} = - \frac{5 \times 4}{2 \times 25} = - \frac{2}{5} = - 0.4 \\ 3) \: 11.2 \div \frac{7}{9} = \frac{112 \times 9}{10 \times 7} = \frac{8 \times 9}{5} = \frac{72}{5} = 14.4 \\ 4) \: - 0.4 - 14.4 = - 14.8[/tex]
[tex] - 10.8 \div \frac{ 6}{11} - 12.5 \times ( \frac{2}{9} ) {}^{3} = - 19 \frac{3416}{3645} \\ 1) \: - 10.8 \div \frac{6}{11} = - \frac{54 \times 11}{5 \times 6} = - \frac{9 \times 11}{5} = - 19.8 \\ 2) \: ( \frac{2}{9} ) {}^{3} = \frac{8}{729} \\ 3) \: 12.5 \times \frac{8}{729} = \frac{25 \times 8}{2 \times 729} = \frac{25 \times 4}{729} = \frac{100}{729} \\ 4) \: - 19 \frac{4}{5} - \frac{100}{729} = - 19 \frac{2916}{3645} - \frac{500}{729} = - 19 \frac{3416}{3645} [/tex]
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Answers & Comments
1)
[tex] - \frac{1}{5} \times ( - 0.4) \times 0.3 - 0.01064 \div ( - 0.14) =0.1 \\ 1) \: - \frac{1}{5} \times ( - 0.4) \times 0.3 = \frac{1 \times 2 \times 3}{5 \times 5 \times 10} = \frac{3}{125} = 0.024 \\ 2) \: 0.01064 \div ( - 0.14) = - 0.076 \\ 3) \: 0.024 -( - 0.076) = 0.024 + 0.076 = 0.1[/tex]
2)
[tex]0.00936 \div ( - 0.18) - 0.7 \times ( - 0.3) \times ( - \frac{2}{5} ) = - 0.136 \\ 1) \: 0.00936 \div ( - 0.18) = - 0.052 \\ 2) \: 0.7 \times ( - 0.3) \times ( - \frac{2}{5} ) = \frac{7 \times 3 \times 2}{10 \times 10 \times 5} = \frac{21}{250} = 0.084 \\ 3) \: - 0.052 - 0.084 = - 0.136[/tex]
3)
[tex] - 36 \div 25 - (2.4 + 2.7 \times 0.3) = - 4.65 \\ 1) \: - 36 \div 25 = - 1.44 \\ 2) \: 2.7 \times 0.3 = 0.81 \\ 3) \: 2.4 + 0.81 = 3.21 \\ 4) \: - 1.44 - 3.21 = - 4.65[/tex]
4)
[tex]44 \div ( - 25) - (4.3 \times 0.8 - 3.7) = - 1.5 \\ 1) \: 44 \div ( - 25) = - 1.76 \\ 2) \: 4.3 \times 0.8 = 3.44 \\ 3) \: 3.44 -3 .7 = - 0.26 \\ 4) \: - 1.76 - ( - 0.26 )= - 1.76 + 0.26 = - 1.5[/tex]
5)
[tex] - 2.5 \times ( \frac{2}{5} ) {}^{2} - 11.2 \div \frac{7}{9} = - 14.8\\ 1) \: (\frac{2}{5} ) {}^{2} = \frac{4}{25} \\ 2) \: - 2.5 \times \frac{4}{25} = - \frac{5 \times 4}{2 \times 25} = - \frac{2}{5} = - 0.4 \\ 3) \: 11.2 \div \frac{7}{9} = \frac{112 \times 9}{10 \times 7} = \frac{8 \times 9}{5} = \frac{72}{5} = 14.4 \\ 4) \: - 0.4 - 14.4 = - 14.8[/tex]
6)
[tex] - 10.8 \div \frac{ 6}{11} - 12.5 \times ( \frac{2}{9} ) {}^{3} = - 19 \frac{3416}{3645} \\ 1) \: - 10.8 \div \frac{6}{11} = - \frac{54 \times 11}{5 \times 6} = - \frac{9 \times 11}{5} = - 19.8 \\ 2) \: ( \frac{2}{9} ) {}^{3} = \frac{8}{729} \\ 3) \: 12.5 \times \frac{8}{729} = \frac{25 \times 8}{2 \times 729} = \frac{25 \times 4}{729} = \frac{100}{729} \\ 4) \: - 19 \frac{4}{5} - \frac{100}{729} = - 19 \frac{2916}{3645} - \frac{500}{729} = - 19 \frac{3416}{3645} [/tex]