The equation (2 x 4) x 7 = 2 x (7 x 4) demonstrates the Associative Property of multiplication.
The Associative Property states that for any three numbers a, b, and c, the way we group them in a multiplication operation will not change the final result. Mathematically, it can be expressed as:
(a x b) x c = a x (b x c)
In the given equation, we have (2 x 4) x 7 on the left side and 2 x (7 x 4) on the right side. Let's compute each side step-by-step to see how the property applies.
Left side: (2 x 4) x 7 = 8 x 7 = 56
Right side: 2 x (7 x 4) = 2 x 28 = 56
As we can see, both sides result in 56, demonstrating that the outcome remains consistent, irrespective of how we group the numbers. In this case, we multiplied 2 and 4 first (left side) and 7 and 4 first (right side) before performing the final multiplication. The Associative Property assures us that we will always get the same answer, regardless of the grouping.
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(x−1)(2x^2+2x+2)
Total amount of the colored pencils is given by the equation A = $ 12.40
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount of the color pencils be represented as A
Now , the equation will be
The total purchase amount by Kim = $ 21.35
The amount for the poster = $ 8.95
So ,
The amount for the color pencils A = total purchase amount by Kim - amount for the poster
Substituting the values in the equation , we get
The amount for the color pencils A = $ 21.35 - $ 8.95
On simplifying the equation , we get
The amount for the color pencils A = $ 12.40
Therefore , the value of A is $ 12.40
Hence , the amount for the color pencils is $ 12.40
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