Question

The rest says• Determine the number that each letter in the model represents and explain each of your answers.• Write the quotient and the remainder for .• Explain how to use multiplication to check that the quotient is correct. You may show your work in your explanation.Enter your answers and explanation in the box provided.

Answer 1

To find the quotient and remainder ,using area model, when , 6,986 is divided by 8, we will use rectangles of different dimensions or a single rectangle in this process.

As, width of rectangle will be same that is equal to 8, and length will vary as how many rectangles you are drawing.

• One way is :

6986 ÷ 8= 873 = Quotient, and 2 = Remainder

So, we can draw a rectangle , having length = 873 unit and width = 8 unit. And Remainder = 2 unit, which will be represented by two smaller rectangles.

• There are other ways also:

You can draw many rectangles , having different lengths and width of each rectangle being equal to 8.

For example:

6986 = 4000+ 2986

So, length of one rectangle = 4000 ÷ 8 = 500 unit and width = 8 unit

Length of another rectangle =2986÷8 = 373 unit and width = 8 unit

Quotient = 500 + 373 = 873

Remainder = 2 ,which will be represented by two smaller rectangles.

Now, using Divisibility rule , which states that, dividend = divisor × quotient + remainder

6986 = 873 × 8 +2

As, quotient = 873

remainder =2