my son was asked to find each product by factoring the tens, and to draw rectangles if needed to on 6x2, 6x20, and 6x200. I'm not sure how to do this. please help me
I suppose for 6x200 it's like 6x2x100?
6*2,6*20,and 6*200
Certainly! I can help you understand how to approach factoring the tens and drawing rectangles to find the product in each case.
To find each product by factoring the tens, you need to break down the numbers into their tens and ones places, multiply the two numbers in the tens place, and then multiply the two numbers in the ones place. Finally, add the two products together to get the final answer.
Let's take each example you provided and go through the process step by step:
1. 6x2:
- The number 6 has a tens place of 0 and a ones place of 6.
- The number 2 has a tens place of 0 and a ones place of 2.
- Multiply the tens place numbers: 0 x 0 = 0.
- Multiply the ones place numbers: 6 x 2 = 12.
- Add the two products together: 0 + 12 = 12.
- Therefore, 6x2 = 12.
2. 6x20:
- The number 6 has a tens place of 0 and a ones place of 6.
- The number 20 has a tens place of 2 and a ones place of 0.
- Multiply the tens place numbers: 0 x 2 = 0.
- Multiply the ones place numbers: 6 x 0 = 0.
- Add the two products together: 0 + 0 = 0.
- Therefore, 6x20 = 0.
3. 6x200:
- The number 6 has a tens place of 0 and a ones place of 6.
- The number 200 has a tens place of 20 and a ones place of 0.
- Multiply the tens place numbers: 0 x 20 = 0.
- Multiply the ones place numbers: 6 x 0 = 0.
- Add the two products together: 0 + 0 = 0.
- Therefore, 6x200 = 0.
Now, let's move on to drawing rectangles if needed. When the numbers have a difference in their tens places, it can be helpful to visualize the multiplication by drawing rectangles.
To draw a rectangle, you can use the tens places as the length of one side and the ones places as the length of the other side. Here's an example for 6x20:
- Draw a rectangle with a length of 6 and a width of 20.
- Count the squares inside the rectangle. You should have 120 squares.
- Therefore, 6x20 = 120.
For 6x200, you can follow the same process and draw a rectangle with a length of 6 and a width of 200. Counting the squares inside will give you the product of 6x200.
I hope this explanation helps you understand how to approach factoring the tens and drawing rectangles to find the product. Let me know if you have any further questions!