How can you use an array to show the commutative property?

How can you use an array to show the commutative property?

The commutative property of multiplication can be neatly illustrated using an array. For example, the array above could be read as 2 rows of 6, or as 6 columns of 2. Or the array could be physically turned around to show that 2 rows of 6 has the same number as 6 rows of 2.

What is the distributive property of multiplication over addition?

The distributive property of multiplication over addition is applied when you multiply a value by a sum. For example, you want to multiply 5 by the sum of 10 + 3. As we have like terms, we usually first add the numbers and then multiply by 5. But, according to the property, you can first multiply every addend by 5.

What are the distributive associative and commutative properties?

Summary

Commutative Laws:	a + b = b + a a × b = b × a
Associative Laws:	(a + b) + c = a + (b + c) (a × b) × c = a × (b × c)
Distributive Law:	a × (b + c) = a × b + a × c

What property that shows a number is equal to itself?

PROPERTIES OF EQUALITY
Reflexive Property	For all real numbers x , x=x . A number equals itself.
Addition Property	For all real numbers x,y, and z , if x=y , then x+z=y+z .
Subtraction Property	For all real numbers x,y, and z , if x=y , then x−z=y−z .

What will be the product of any number is multiplied by 1?

According to the multiplicative identity property of 1, any number multiplied by 1, gives the same result as the number itself. It is also called the Identity property of multiplication, because the identity of the number remains the same.

What is the product of any number and zero?

Multiplication by Zero Multiplying by 0 makes the product equal zero. The product of any real number and 0 is 0 .

What is the product of any number and 1?

The product of any number and 1 is equal to that number. The number 1 is often called the multiplicative identity. The numbers 1, 2, 3, 4 and so on. Also called counting numbers.