Respuesta :
The expression demonstrating distributive property to make calculation of the total number of beginners on the ski slopes is [tex]\frac{1}{4} \times 300 + \frac{1}{4} \times 260 = \frac{1}{4}(300 + 260)[/tex]
Solution:
From given question,
[tex]\frac{1}{4}[/tex] of the 300 skiers are beginners
[tex]\frac{1}{4}[/tex] of the 260 snowboarders are beginners
The resort staff used the distributive property to make the calculation of the total number of beginners on the ski slopes
Let us first understand about distributive property
The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum
a(b + c) = ab + bc
Beginners in skiers = [tex]\frac{1}{4}[/tex] of 300
Beginners in snowboarders = [tex]\frac{1}{4}[/tex] of the 260
Total number of beginners = Beginners in skiers + Beginners in snowboarders
[tex]\text{ Total number of beginners } = \frac{1}{4}(300) + \frac{1}{4}(260)[/tex]
Now let us apply distributive property
Factor out [tex]\frac{1}{4}[/tex] to get the distributive property
[tex]\frac{1}{4}(300) + \frac{1}{4}(260) = \frac{1}{4}(300+260)[/tex]
[tex]\frac{1}{4} \times 300 + \frac{1}{4} \times 260 = \frac{1}{4}(300 + 260)[/tex]
Thus the expression demonstrating distributive property is found
