Divide 7300 by 25 without dividing

Question

Solve in your head, no long division. What is 7300 \div 25? Aim: under 5 seconds.

Accepted Answer

Since 25 = 100/4, dividing by 25 means multiplying by 4 and dividing by 100: \frac{7300}{25} = \frac{7300 	imes 4}{100} = \frac{29200}{100} = 292. Multiplying by 4 is doubling twice: 7300 	o 14600 	o 29200, then drop two zeros. Takeaway. Treat 25 as 100/4: dividing by 25 is "double, double, shift two places." The same move handles 	imes 25 = 	imes 100 / 4, so 92 	imes 25 = 9200/4 = 2300.

Divide 7300 by 25 without dividing

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