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Final answer:A fact family for the numbers 32, 8, and 4 would be represented as four mathematical expressions: 8 * 4 = 32, 4 * 8 = 32, 32 ÷ 8 = 4, and 32 ÷ 4 = 8.Explanation:In Mathematics,fact familiesare sets of related mathematical operations, which consist of related multiplication and division, or addition and subtraction facts. Typically, there are two addition and two subtraction sentences in an addition/subtraction fact family, and two multiplication and two division sentences in a multiplication/division fact family.With the numbers 32, 8, and 4, we can build the multiplication/division fact family as follows:8 multiplied by 4 equals 32 (8 * 4 = 32)4 multiplied by 8 equals 32 (4 * 8 = 32)32 divided by 8 equals 4 (32 ÷ 8 = 4)32 divided by 4 equals 8 (32 ÷ 4 = 8)Learn more about Fact Family here:brainly.com/question/12557539#SPJ2...