Subjects arithmetic

Division Decimal C9253F

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1. The problem is to find the quotient of $2 \div 0.2$. 2. Division by a decimal can be converted to division by a whole number by multiplying both the dividend and divisor by the same power of 10. 3. Here, multiply both 2 and 0.2 by 10 to eliminate the decimal in the divisor: $$2 \div 0.2 = \frac{2}{0.2} = \frac{2 \times 10}{0.2 \times 10} = \frac{20}{2}$$ 4. Simplify the fraction: $$\frac{20}{2} = 10$$ 5. Therefore, the quotient of $2 \div 0.2$ is $10$. 6. This means 2 contains ten 0.2 parts, which matches the visual model of two whole rectangles each divided into five parts (total 10 parts).