Use the following rational numbers to frame anexample of distributive property of multiplication overaddition for rational numbers(11/4) (213) and (-4/7) About the author Remi
SOLUTION TO DETERMINE Using the following rational numbers to frame an example of distributive property of multiplication over addition for rational numbers [tex] \displaystyle \sf{ \frac{1}{4} \: \: , \: \: \frac{2}{3} \: \: , \: \: – \frac{4}{7} }[/tex] CONCEPT TO BE IMPLEMENTED For three rational numbers a , b , c distributive property states that [tex] \sf{a \times (b + c) = (a \times b) + (a \times c )\: }[/tex] EVALUATION We wish to prove [tex]\displaystyle \sf{ \frac{1}{4} \times \bigg(- \frac{4}{7} + \frac{2}{3} \bigg) = \bigg( \frac{1}{4} \times – \frac{4}{7} \bigg) + \bigg( \frac{1}{4} \times \frac{2}{3} \bigg) }[/tex] LHS [tex]\displaystyle \sf{ = \frac{1}{4} \times \bigg(- \frac{4}{7} + \frac{2}{3} \bigg) }[/tex] [tex]\displaystyle \sf{ = \frac{1}{4} \times \bigg( \frac{ – 12 + 14}{21} \bigg) }[/tex] [tex]\displaystyle \sf{ = \frac{1}{4} \times \frac{ 2}{21} }[/tex] [tex]\displaystyle \sf{ = \frac{1}{42} }[/tex] RHS [tex]\displaystyle \sf{ = \bigg( \frac{1}{4} \times – \frac{4}{7} \bigg) + \bigg( \frac{1}{4} \times \frac{2}{3} \bigg) }[/tex] [tex]\displaystyle \sf{ = – \frac{1}{7} + \frac{1}{6} }[/tex] [tex]\displaystyle \sf{ = \frac{ – 6 + 7}{42} }[/tex] [tex]\displaystyle \sf{ = \frac{ 1}{42} }[/tex] Hence LHS = RHS Hence proved ━━━━━━━━━━━━━━━━ Learn more from Brainly :- 1. Apply the distributive property to create an equivalent expression. 5*(−2w−4) https://brainly.in/question/33967867 2. Complete the following product (x-3)(x^(2)+3x+9) https://brainly.in/question/25709643 Reply
SOLUTION
TO DETERMINE
Using the following rational numbers to frame an example of distributive property of multiplication over addition for rational numbers
[tex] \displaystyle \sf{ \frac{1}{4} \: \: , \: \: \frac{2}{3} \: \: , \: \: – \frac{4}{7} }[/tex]
CONCEPT TO BE IMPLEMENTED
For three rational numbers a , b , c distributive property states that
[tex] \sf{a \times (b + c) = (a \times b) + (a \times c )\: }[/tex]
EVALUATION
We wish to prove
[tex]\displaystyle \sf{ \frac{1}{4} \times \bigg(- \frac{4}{7} + \frac{2}{3} \bigg) = \bigg( \frac{1}{4} \times – \frac{4}{7} \bigg) + \bigg( \frac{1}{4} \times \frac{2}{3} \bigg) }[/tex]
LHS
[tex]\displaystyle \sf{ = \frac{1}{4} \times \bigg(- \frac{4}{7} + \frac{2}{3} \bigg) }[/tex]
[tex]\displaystyle \sf{ = \frac{1}{4} \times \bigg( \frac{ – 12 + 14}{21} \bigg) }[/tex]
[tex]\displaystyle \sf{ = \frac{1}{4} \times \frac{ 2}{21} }[/tex]
[tex]\displaystyle \sf{ = \frac{1}{42} }[/tex]
RHS
[tex]\displaystyle \sf{ = \bigg( \frac{1}{4} \times – \frac{4}{7} \bigg) + \bigg( \frac{1}{4} \times \frac{2}{3} \bigg) }[/tex]
[tex]\displaystyle \sf{ = – \frac{1}{7} + \frac{1}{6} }[/tex]
[tex]\displaystyle \sf{ = \frac{ – 6 + 7}{42} }[/tex]
[tex]\displaystyle \sf{ = \frac{ 1}{42} }[/tex]
Hence LHS = RHS
Hence proved
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Learn more from Brainly :-
1. Apply the distributive property to create an equivalent expression. 5*(−2w−4)
https://brainly.in/question/33967867
2. Complete the following product (x-3)(x^(2)+3x+9)
https://brainly.in/question/25709643