Question

Please Help me!!!!!!!! QUICK! A teacher drew an area model to find the value of 6, 986 divided by 8.

Determine the number that each letter in the model represents and explain each of your answers.


Write the quotient and remainder for.


Explain how to use multiplication to check that the quotient is correct. You may show your work in your explanation.

Answer 1

8 by 6986 = quotient 873 remainder 2

M= 800x8 =6400

N= 560/8=70

P= 26/8 =3

Q=3x8=24

R=26-24=2

Explanation:

Answer 2

Answer with explanation:

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 Breadth = 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 Breadth = 8 unit

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

Quotient = 500 +373=873

and ,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