Divide 4600 by 50 without dividing

Question

Solve in your head, no long division. What is 4600 \div 50? Aim: under 5 seconds.

Accepted Answer

Since 50 = 100/2, dividing by 50 means multiplying by 2 and dividing by 100: \frac{4600}{50} = \frac{4600 	imes 2}{100} = \frac{9200}{100} = 92. Just double, then drop two zeros: 4600 	o 9200 	o 92. Takeaway. The "fraction of a power of ten" trick scales across the family: \div 50 = 	imes 2 / 100, \div 25 = 	imes 4 / 100, \div 125 = 	imes 8 / 1000. Pick the multiplier that turns the divisor into a round power of ten.

Divide 4600 by 50 without dividing

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