Which statement describes the Multiplication Property?

Which statement describes the Multiplication Property?

• A. If equal quantities are multiplied by equal quantities, the sums are equal.
• B. If equal quantities are multiplied by equal quantities, the products are equal.
• C. If equal quantities are added to equal quantities, the products are equal.
• D. If equal quantities are divided by equal quantities, the quotients are equal.

Answer: (B)

The Multiplication Property of Equality is about preserving equality when you multiply both sides by the same number. If two quantities are equal, multiplying each by the same quantity gives equal products. In symbols, if a = b, then a·c = b·c for any c. This is exactly what the statement describes: multiplying equal quantities by equal quantities yields equal products. For example, 4 = 4 implies 4×7 = 4×7, so 28 = 28. The other options mix different operations (sums instead of products, or division), so they don’t reflect this property.

The Multiplication Property of Equality is about preserving equality when you multiply both sides by the same number. If two quantities are equal, multiplying each by the same quantity gives equal products. In symbols, if a = b, then a·c = b·c for any c. This is exactly what the statement describes: multiplying equal quantities by equal quantities yields equal products. For example, 4 = 4 implies 4×7 = 4×7, so 28 = 28. The other options mix different operations (sums instead of products, or division), so they don’t reflect this property.