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What property shows that numbers can be regrouped when being added or multiplied without changing their value?
The commutative property of addition and the commutative property of multiplication.
Why can you break apart numbers to multiply without changing the product?
Because of the distributive property of multiplication over addition.
The property that shows that numbers can be regrouped when being added or multiplied without changing their value?
The associative property. It works separately for addition and for multiplication.
What property allows the grouping of numbers in parentheses to change without changing the answer?
That would be the associative property. The associative property applies to addition and multiplication, but not to subtraction or division.
The property that states that two or more numbers can be added in any order without changing the sum?
Addition and multiplication are commutative. That's the property you're looking for.
Can the commutative property have three numbers involved?
Addition and multiplication: yes
What property that says you can add or multiply numbers in any order without changing the answer?
The property that allows you to add or multiply numbers in any order without changing the result is known as the commutative property. For addition, this means that ( a + b = b + a ), and for multiplication, it means that ( a \times b = b \times a ). This property is fundamental in arithmetic and holds true for real numbers.
How is the associative property of addition and the associative property of multiplication are similar?
The associative property of addition and multiplication both state that the grouping of numbers does not affect the result of the operation. In addition, changing the grouping of addends (e.g., (a + b) + c = a + (b + c)) yields the same sum, while in multiplication, changing the grouping of factors (e.g., (a × b) × c = a × (b × c)) results in the same product. Both properties emphasize the importance of the operations' structure over the specific numbers involved, allowing for flexibility in computation. Thus, they highlight the consistency and predictability of arithmetic operations.
What is the distributive property in addition?
The distributive property OF MULTIPLICATION over addition is a*(b + c) = a*b + a*c for any numbers a, b and c.
Can you do distributive property on the number 20?
No. The distributive property applies to two operations (usually multiplication and addition), NOT to numbers.
What is the distributive property for 79.45?
The distributive property is applicably to the operation of multiplication over either addition or subtraction of numbers. It does not apply to single numbers.
What is a distributive property of multiplication?
The distributive property of multiplication OVER addition (or subtraction) states that a*(b + c) = a*b + a*c Thus, multiplication can be "distributed" over the numbers that are inside the brackets.
