Answer: 18(6 x 22) = (18 x 6) x 22
Step-by-step explanation: The associative property of multiplication states that when multiplying three or more numbers, the way they are grouped does not affect the product. In other words, (a x b) x c = a x (b x c) for any numbers a, b, and c.
To show the associative property of multiplication, we need to find an equation that has three factors and two different ways of grouping them with parentheses. The equation 18(6 x 22) = (18 x 6) x 22 satisfies this condition. It shows that we can multiply 18 by 6 and then by 22, or we can multiply 6 by 22 and then by 18 and get the same result: 2376.
The other equations do not show the associative property of multiplication because:
- A. 17 x 27 = 17(20 + 7) shows the distributive property of multiplication over addition, which states that a(b + c) = ab + ac for any numbers a, b, and c.
- C. 52 x 1 = 52 shows the identity property of multiplication, which states that any number multiplied by 1 is equal to itself.
- D. 12(6 x 21) = (6 x 21) x 12 shows the commutative property of multiplication, which states that the order of factors does not affect the product. In other words, a x b = b x a for any numbers a and b.
Hope this helps, and have a great day! =)