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0.014 ÷ 0.000035

400

First, cancel the 7s. 0.014 ÷ 0.000035 = 0.002 ÷ 0.000005. Now, remember that in decimal division, the decimal point moves the same way in both numerator and denominator. 0.002 ÷ 0.000005 = 0.02 ÷ 0.00005 = 0.2 ÷ 0.0005 = 2 ÷ 0.005 = 20 ÷ 0.05 = 200 ÷ 0.5. Notice that 0.5 = 1/2 is the reciprocal of 2, so dividing by 0.5 is equal to multiplying by 2. Thus, 200 ÷ 0.5 = 200 × 2 = 400.

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