Decimals, SM-Bank 080

Evaluate the following, using order of operations:

\(84\ ÷\ 1.2\times 0.3\) (1 mark)

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\(20\times 2.5\ ÷\ 0.1\) (1 mark)

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\(1.8\ ÷ \ 0.2\times 0.6\) (2 mark)

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\(0.8\times 0.03\ ÷\ 1.2\) (2 marks)

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a. \(21\)

b. \(500\)

c. \(5.4\)

d. \(0.02\)

Show Worked Solution

a. \(84\ ÷\ 1.2\times 0.3\)	\(= 840\ ÷\ 12\times 0.3\)
	\(=70\times 3\ ÷\ 10\)
	\(=21\)

b. \(20\times 2.5\ ÷\ 0.1\)	\(= 50\ ÷\ 0.1\)
	\(= 500\ ÷\ 1\)
	\(=500\)

c. \(1.8\ ÷\ 0.2\times 0.6\)	\(=18\ ÷\ 2\times 0.6\)
	\(=9\times 0.6\)
	\(=9\times 6\ ÷\ 10\)
	\(=5.4\)

d. \(0.8\times 0.03\ ÷\ 1.2\)	\(= 8\times 3\ ÷\ 1000\ ÷\ 1.2\)
	\(=0.024\ ÷\ 1.2\)
	\(=0.24\ ÷\ 12\)
	\(=0.02\)