Final answer:
To express 126/7 using the distributive property, break down 126 into the sum of numbers like 70 + 56, then divide each term by 7 to get (70 / 7) + (56 / 7), which simplifies to 18.
Step-by-step explanation:
To write the expression 126/7 using the distributive property, we could express 126 as the sum of numbers that are easier to divide by 7. For example, 126 can be broken down into 70 + 56, and using the distributive property:
126/7 = (70 + 56) / 7
Applying the distributive property, we can divide each term by 7 separately:
126/7 = (70 / 7) + (56 / 7)
Simplify each division:
126/7 = 10 + 8
Now, combine the results:
126/7 = 18
So, the expression using the distributive property equates to 18.