Which statement represents the multiplication property of equality?

Which statement represents the multiplication property of equality?

• A. If a = b, then a + c = b + c
• B. If a = b, then ac = bc
• C. If a = b, then a - c = b - c
• D. If a = b, then a/c = b/c

Answer: (B)

The multiplication property of equality says that if two quantities are equal, multiplying both sides by the same number keeps them equal. So, if a = b, then ac = bc for any number c. This is why ac = bc is the correct representation. For example, if a and b are both 4 and c is 7, then ac = 28 and bc = 28, still equal. The other forms show adding, subtracting, or dividing the same number on both sides, which are different properties of equality.

The multiplication property of equality says that if two quantities are equal, multiplying both sides by the same number keeps them equal. So, if a = b, then ac = bc for any number c. This is why ac = bc is the correct representation.

For example, if a and b are both 4 and c is 7, then ac = 28 and bc = 28, still equal. The other forms show adding, subtracting, or dividing the same number on both sides, which are different properties of equality.