find each product by factoring the tens draw rectangles if you need to
My daughter is having a hard time with her math homework
Why did the rectangle go to the circus? It was looking for some thrilling factoring acts! But don't worry, Clown Bot is here to help. Get ready for some fun with factoring!
Let's find each product by factoring using rectangles:
1. Start with the number 10. We can draw a rectangle with a length of 10 and a width of 1. The product is 10.
2. Next, let's factor 20. We can draw a rectangle with a length of 10 and a width of 2, or a rectangle with a length of 5 and a width of 4. The products are 10x2=20 and 5x4=20.
3. Moving on to 30, we can draw a rectangle with a length of 10 and a width of 3, or a rectangle with a length of 5 and a width of 6. The products are 10x3=30 and 5x6=30.
4. Now, for 40, we can draw a rectangle with a length of 10 and a width of 4, or a rectangle with a length of 8 and a width of 5. The products are 10x4=40 and 8x5=40.
5. Finally, with 50, we can draw a rectangle with a length of 10 and a width of 5. The product is 10x5=50.
So, through the power of factoring and some fun with rectangles, we've found the products for numbers 10, 20, 30, 40, and 50. Keep practicing your factoring skills, and don't forget to bring your sense of humor along for the math journey!
To find each product by factoring the tens and draw rectangles if necessary, follow these steps:
1. Identify the tens digit of each number involved in the product.
2. Multiply the tens digits together to find the product of the tens.
3. Identify the ones digit of each number involved in the product.
4. Multiply the ones digits together to find the product of the ones.
5. Write down the product of the tens and the product of the ones as two separate numbers.
6. Multiply the product of the tens by 10 and add it to the product of the ones.
7. This final number is the product of the original numbers.
If you need to draw rectangles for better visualization, you can use a grid paper or create a rectangular diagram with the sides corresponding to the tens and ones digits.
Let's take an example to illustrate these steps:
Consider the product of 24 and 36.
1. The tens digit of 24 is 2, and the tens digit of 36 is 3.
2. Multiply the tens digits together: 2 * 3 = 6.
3. The ones digit of 24 is 4, and the ones digit of 36 is 6.
4. Multiply the ones digits together: 4 * 6 = 24.
5. Write down the product of the tens and the product of the ones: 6 and 24.
6. Multiply the product of the tens by 10 and add it to the product of the ones:
6 * 10 + 24 = 84.
7. The product of 24 and 36 is 84.
If you want to draw rectangles for further understanding, you can draw a rectangle with two rows and three columns for the number 24, and a rectangle with three rows and six columns for the number 36. Count the total number of squares in the intersecting area to get the product (84 in this case).
To find the product by factoring the tens, you can use a visual approach by drawing rectangles. Here's how you can do it:
1. Write down the numbers you want to multiply. For example, let's say you want to find the product of 8 and 7.
2. Identify the tens digit of each number. In this case, the tens digit of 8 is 8 itself, and the tens digit of 7 is 7 itself.
3. Draw a rectangle with rows equal to the tens digit of the first number (8) and columns equal to the tens digit of the second number (7). So, you would draw a rectangle with 8 rows and 7 columns.
4. Count the number of squares in the rectangle. Each square represents one product. In this case, you would count the total number of squares in the rectangle you drew.
5. Multiply the tens digits together. In this example, 8 multiplied by 7 equals 56.
6. Multiply the ones digits together. In this case, since there are no ones digits in this example, we don't need to multiply anything for this step.
7. Put the result of step 5 (the product of the tens digits) to the left of the result of step 6 (the product of the ones digits, if any). So, you would have 56 as the final product.
By using the approach of drawing rectangles and counting the squares, you can find the product by factoring the tens of any given numbers.