Question

The distributive property can help you divide. Which of the following shows how you can break apart the dividend to find the quotient for 224 divided by 7?

Option 1: (210−14)−(14÷7)=224÷7=28
Option 2: (210÷7)+(14÷7)=30+2=32
Option 3: (210÷7)+(14÷7)=30+2=32
Option 4: (224÷7)+(14÷7)=32+2=34
Which option is correct?

Answer 1

The correct way to use the distributive property to divide 224 by 7 is shown in Option 2, which breaks apart the number as (210÷7) + (14÷7) to find the quotient, resulting in 30 + 2 = 32.

Step-by-step explanation:

The question asks how to use the distributive property to divide 224 by 7 and break apart the dividend to find the quotient. The correct option is Option 2: (210÷7) + (14÷7) = 30 + 2 = 32. In this instance, 224 is divided into two parts, 210 and 14, which are separately divided by 7 to uncover the accurate quotient.

Using the distributive property, the calculation is:

• (210÷7) = 30,
• (14÷7) = 2.

Therefore, when you add both these parts, you get:

(210÷7) + (14÷7) = 30 + 2 = 32.

This result is the same as dividing the whole number, 224, by 7:

224÷7 = 32