Question

warm-up: special products which one doesnt belong? explain your reasoning. a. $8 \times \frac{1}{8}$ b. $\frac{3}{5} \times \frac{5}{3}$ c. $-\frac{4}{7} \times -\frac{7}{4}$ d. $\frac{5}{6} \times -\frac{6}{5}$

Explanation:

Step1: Calculate product of a

Calculate \( 8 \times \frac{1}{8} \).
\( 8 \times \frac{1}{8} = 1 \)

Step2: Calculate product of b

Calculate \( \frac{3}{5} \times \frac{5}{3} \).
\( \frac{3}{5} \times \frac{5}{3} = 1 \)

Step3: Calculate product of c

Calculate \( -\frac{4}{7} \times -\frac{7}{4} \).
\( -\frac{4}{7} \times -\frac{7}{4} = 1 \)

Step4: Calculate product of d

Calculate \( \frac{5}{6} \times -\frac{6}{5} \).
\( \frac{5}{6} \times -\frac{6}{5} = -1 \)

Answer:

d. \( \frac{5}{6} \times -\frac{6}{5} \) doesn't belong because the products of a, b, and c are all 1, while the product of d is -1.