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Distribution Property of Real Numbers

Real numbers are used to measure the continuous values. A real number can be rational number or irrational number or it may be positive, negative or zero. It may also be algebraic or transcendental.

The Distributive property is a property for binary operations with at least two operands. This property comes in case when any expression has both the addition and multiplication operations. This is also known as the distribution property of multiplication over addition operation. According to this property of multiplication over addition, if any number or term is multiplied by the terms covered by the parenthesis then we need to multiply that term to the all the terms inside the parenthesis.
 
a * (b + c) = (a * b) + (a * c)
 
The distributive property can be explained by some examples:
  1. 5 * (4 + 3) = (5 * 4) + (5 * 3) = 35
  2. 2 * (3 + 6) = (2 * 3) + (2 * 6) = 18

Solve the given real numbers expression by distributive property where expression is y= 5(x +1)+2(y+1)?

For solving this real number expression by distributive property we need to follow the steps given below:

Step 1: Write the given expression,

 y= 5(x +1) + 2(y+1),

Step 2: Now we simplify the given real Numbers expression,

y = 5x +5 +2y +2,

y =   5x +2y +7.

Solve the given real numbers expression by distributive property where expression is y= -(n-1)- (m+2)?

For solving this real Numbers expression by distributive property we need to follow the steps given below:

Step 1: Write the given expression,

 y= -(n-1)- (m+2),

Step 2: Now we simplify the given expression,

y = -n +1 – m – 2,

y =  -n – m -1.

Solve the given real numbers expression by distributive property where expression is y = (q+1)- (3q-41) –q+1?

For solving this expression by distributive property we need to follow the steps given below:

Step 1: Write the given expression,

y= (q+1)- (3q-41) –q+1,

Step 2: Now, we simplify the given real Numbers expression,

y  = q + 1 – 3q + 41 – q + 1,

y =  -3q +43. 

Solve the given real numbers expression by distributive property and the expression is y = (n-1)- n(n+4) +n?

For solving the above expression by distributive property we need to follow the following steps:

Step 1: Write the given expression,

y= = (n-1)- n(n+4) +n,

Step 2: Now, we simplify the given real Numbers expression,

y = n - 1 – n2 – 4n + n,

y = -n2 -2n -1.

Solve the given expression using distributive property and the  expression is y= (5r+1) –(r-4) –r?

Step 1: Write the given expression,

y= (5r+1) –(r-4) –r,

Step 2: Now, we simplify the given real Numbers expression,

y = 5r +1 – r + 4 -r,

y =   3r + 5.

Solve the given equation by distributive property and the equation is y= 5s2 + 4s(s+1)?

Step 1: Write the given equation,

y= 5s2 + 4s(s+1),

Step 2: Now, we simplify the given real Numbers equation,

y = 5s2 + 4s2 +4s,

y = 9s2 + 4s.

 y= 8p2– 2(3p2 +1) + p. Solve this expression by using distributive property?

Step 1: Write the given real number expression,

 y= 8p2– 2(3p2 +1)+ p,

Step 2: Now, we simplify the above expression,

y = 8p2 – 6p2 -2 +p,

y = 2p2 + p -2.

Solve the given expression by distributive property, where the expression is 2(5 + 3) = y?

Step 1: Write the given real Numbers expression,

y=  2(5 + 3)

Step 2: Now we simplify the given Real Numbers expression,

y = 10 + 6

y = 16

Further Read

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