Ok I am lost I need help.
Describe how you can use a generic rectangle to multiply two numbers. Give an example.
I'm just thinking of 22×35
Sure! I can help you with that.
To use a generic rectangle to multiply two numbers, you can create a rectangular grid and divide it into smaller sections based on the digits of the two numbers you want to multiply.
Here's a step-by-step guide to multiplying 22 and 35 using a generic rectangle:
1. Write down the two numbers you want to multiply vertically, placing one number on top of the other:
22
× 35
2. Draw a rectangle beneath the numbers, using the larger number of digits as the width of the rectangle and the smaller number of digits as the height. In this case, since 35 has two digits and 22 has two digits, the rectangle will have two rows and two columns.
3 5
-------
2 | ? ?
2 | ? ?
3. Divide the rectangle into smaller sections based on the place value of each digit. In this case, we have two rows and two columns. Label each section accordingly, starting from the right-bottom section and moving upward.
3 5
-------
2 | a b
2 | c d
4. Multiply the digits in each section. Starting from the right section, multiply the digit in the corresponding row by the digit in the corresponding column and write the result in the section:
3 5
-------
2 | 10 15
2 | 20 30
5. Add up the results from each section to get the final answer:
3 5
-------
2 | 10 15
2 | 20 30
-------
770
Therefore, 22 × 35 is equal to 770.
Using a generic rectangle helps break down the multiplication process visually and makes it easier to calculate the result. You can use this method to multiply any two numbers.