Divide 1435 by 5 without dividing

Question

Solve in your head, no long division. What is 1435 \div 5? Aim: under 5 seconds.

Accepted Answer

Dividing by 5 is the same as multiplying by 2 and dividing by 10: \frac{1435}{5} = \frac{1435 	imes 2}{10} = \frac{2870}{10} = 287. Doubling is far easier than dividing, and dividing by 10 is just a decimal shift. Takeaway. Swap hard divisors for easy multiplications: \div 5 	o 	imes 2 / 10, \div 25 	o 	imes 4 / 100, \div 50 	o 	imes 2 / 100, \div 125 	o 	imes 8 / 1000. On a timed arithmetic screen these substitutions save several seconds per question.

Divide 1435 by 5 without dividing

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