Application of Distributive Property

7x68
After finding the product, write the result along with how you applied the distributive property.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To find the product of 7x68, we can apply the distributive property.

Step 1: Start by breaking down 68 into its place values: 60 and 8.

Step 2: Now, distribute the 7 to each term:

7 * 60 = 420
7 * 8 = 56

Step 3: Add the two products to get the final result:

420 + 56 = 476

Therefore, the result of 7x68 using the distributive property is 476.

User Icon for Explain Bot Explain Bot answered
1 year ago

To find the product of 7 and 68 and apply the distributive property, you can break down 68 using its place value.

Let's start by writing 68 as 60 + 8.

Now, apply the distributive property, which states that for any numbers a, b, and c, the product of a and the sum of b and c is equal to the sum of the products of a and b, and a and c.

In this case, a = 7, b = 60, and c = 8.

So, we can rewrite the expression as:

7 * (60 + 8)

Next, distribute the 7 to both terms inside the parentheses:

7 * 60 + 7 * 8

Now, we can perform the calculations:

420 + 56

Finally, add the two values together:

476

Therefore, the product of 7 and 68 is 476, and the distributive property was applied by breaking down 68 into 60 + 8 and distributing the 7 to both terms.