Question

Describe how to model 2-digit by 2-digit multiplication using an area model ANSWER NOW FOR 20 POINTS

Answer 1

The steps are shown below:

Explanation:

We can draw the area model for 2-digit by 2-digit multiplication by using the following steps:

Step 1: First write the multiplicands in expanded form.

For example: 26 as 20 and 6, and 36 as 30 and 6.

Step 2: Now, Draw a 2 × 2 grid, and write the terms of one of the multiplicands on the top of the grid. One on the top of each cell.

Step 3: Write the terms of the other multiplicand on the left of grid.

Step 4: Write the product of ones and tens in respective cell.

For example: 26×36

20 6

30| 600 180

6 | 120 36

Now add them: 600+180+120+36=936

Answer 2

Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Properties of Multiplication and Division and Problem Solving with Units of 2–5 and 10. Multiplication and Division with Units of 0, 1, 6–9, and Multiples of 10 Multi-Digit Whole Number and Decimal Fraction Operations.