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Why is it that when you multiply each pair of numbers at opposite corners of any rectangle of a multiplication chart the products are equal?
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Are the products of opposite corners of any rectangle in the multiplication table equal?
Yes.
Why does it makes sense that the products of opposite corners of any rectangle in the multiplication table are equal?
Consider the rectangle in a multiplication table where the left side of the rectangle is in the column for p times table; the right side of the rectangle is in the column for q times table. Also suppose the top of the rectangle is in the row for the r times table and the bottom of the rectangle is in the row for the s times table.Schematically,----p------q----|-------|r---a-----b----|------|----|------|s--c-----dSuppose the numbers in the four corners of the rectangle are a, b, c and d.Thena = pr, b = qr, c = ps and d = qsSo the product of opposite corners aread = pr x qs = pqrsbc = qr x ps = pqrs
What property says that you can multiply the addends of a sum by a number and then add the products?
The distributive property of multiplication over addition.
How does adding partial products help solve multiplication problem?
How does adding partial products help solve a multiplication problem
Why does the multiplication method partial products work?
Because multiplication is distributive over addition.
Are the products of opposite corners of any rectangle in the multiplication table equal?
Yes.
Why does it makes sense that the products of opposite corners of any rectangle in the multiplication table are equal?
Consider the rectangle in a multiplication table where the left side of the rectangle is in the column for p times table; the right side of the rectangle is in the column for q times table. Also suppose the top of the rectangle is in the row for the r times table and the bottom of the rectangle is in the row for the s times table.Schematically,----p------q----|-------|r---a-----b----|------|----|------|s--c-----dSuppose the numbers in the four corners of the rectangle are a, b, c and d.Thena = pr, b = qr, c = ps and d = qsSo the product of opposite corners aread = pr x qs = pqrsbc = qr x ps = pqrs
Can multiplication be distributive over subtraction?
Multiplication can be the first step when using the distributive property with subtraction. The distributive law of multiplication over subtraction is that the difference of the subtraction problem and then multiply, or multiply each individual products and then find the difference.
What property says that you can multiply the addends of a sum by a number and then add the products?
The distributive property of multiplication over addition.
What is distributive property of multiplication?
The distributive property of multiplication lets you simplify expressions wherein you multiply a number by a sum or difference. According to this property, the product of a sum or difference of a number is equal to the sum or difference of the products.
How does adding partial products help solve multiplication problem?
How does adding partial products help solve a multiplication problem
What is the perimeter of a rectangle with the dimensions of 7 feet by 5 feet?
To find the perimeter of a rectangle you multiple the length by 2 and then multiply the width by 2 then add the two products to get you perimeter7*2=14+5*2=1014+10------24
What is the partial-products method?
The partial-products method is a method of multiplication. There are many methods of multiplication, including the traditional method, lattice method, and other ancient methods. The partial-products focuses on the importance of the value of each digit in your factors (remember: factors are the numbers that you multiply together in a multiplication problem). 1. Write out the expanded form of each factor. 2. Multiply each of the numbers from the expanded form from the "bottom" factor times each of the numbers from the expanded form of the "top" factor. Write these mini-multiplication problems in a list. 3. Find the product of each multiplication - finds partial products. 4. Add the partial products. example: 423 x 6 423 --> 400 + 20 + 3 x 6 --> 6 ------- 6 x 3 = 18 6 x 20 = 120 6 x 400 = 2400 ------- 2538
Why does the multiplication method partial products work?
Because multiplication is distributive over addition.
How can you find the perimeter of a rectangle if you know its length and width?
The formula for perimeter is 2l+2w or 2*length + 2*width. This means that you multiply the length by two and multiply the width by two. Then, you add the two products together to find the perimeter.
How do you work out products of prime numbers?
You multiply them.You multiply them.You multiply them.You multiply them.
What is multiplication products of 5?
5,10,1,20,25, 30,35,40,45,50,55,60,65,70,75,85,90,95,100........ and so on in that pattern
