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.
Quotient 8 878C5A
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