Subjects arithmetic

Quotient 8 878C5A

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1. The problem asks which expressions have a quotient of 8. 2. The quotient is the result of division. We need to evaluate each expression and check if the result equals 8. 3. Evaluate A: $0.56 \div 0.07$ $$0.56 \div 0.07 = \frac{0.56}{0.07}$$ Multiply numerator and denominator by 100 to clear decimals: $$\frac{0.56 \times 100}{0.07 \times 100} = \frac{56}{7} = 8$$ So, A is correct. 4. Evaluate B: $5.6 \div 0.7$ $$5.6 \div 0.7 = \frac{5.6}{0.7}$$ Multiply numerator and denominator by 10: $$\frac{5.6 \times 10}{0.7 \times 10} = \frac{56}{7} = 8$$ So, B is correct. 5. Evaluate C: $0.56 \div 7$ $$0.56 \div 7 = \frac{0.56}{7}$$ Multiply numerator and denominator by 100: $$\frac{0.56 \times 100}{7 \times 100} = \frac{56}{700} = \frac{56 \cancel{\times 1}}{7 \times 100}$$ Simplify: $$\frac{56}{700} = 0.08$$ Not equal to 8, so C is incorrect. 6. Evaluate D: $5.6 \div 0.07$ $$5.6 \div 0.07 = \frac{5.6}{0.07}$$ Multiply numerator and denominator by 100: $$\frac{5.6 \times 100}{0.07 \times 100} = \frac{560}{7} = 80$$ Not equal to 8, so D is incorrect. Final answer: Expressions A and B have a quotient of 8.