Question

Solve 35 ÷ 2 using an area model. Use long division and the distributive property to record your work.

Answer 1

To solve 35 ÷ 2 using an area model, decompose 35 into 30 and 5. Divide each by 2 to obtain 15 and 2.5, and then sum them to get the result, which is 17.5.

Step-by-step explanation:

Solve 35 ÷ 2 using an area model.

To solve 35 ÷ 2 using an area model, we will use long division and the distributive property. Let's break down 35 into 30 and 5, which are both divisible by 2. We represent 35 as the total area and divide it into two parts, 30 and 5.

First, we find how many times 2 goes into 30 and then how many times into 5. For 30, 2 goes into 30 exactly 15 times. For 5, 2 goes into 5 twice with a remainder of 1. So, we can state that:

• 30 ÷ 2 = 15
• 5 ÷ 2 = 2 with a remainder of 1

Now, combining these we get 35 ÷ 2 = (30 ÷ 2) + (5 ÷ 2) = 15 + 2.5 = 17.5.

Therefore, 35 divided by 2 equals 17.5.

Answer 2

The calculated solution to the expression 35/2 is 17.5

How to determine the solution to the expression

From the question, we have the following parameters that can be used in our computation:

35/2

When represented as an area model, we have

35/2 = (34 + 1)/2

This gives

35/2 = 34/2 + 1/2

Evaluate

35/2 = 17 + 0.5

This gives

35/2 = 17.5

Hence, the solution to the expression is 17.5