8 × [ ( 4 × ¹/₃ ) + 2 ] = 26 ²/₃
Further explanation
Order of Operations in Mathematics follow this following rule :
- Multiplication and Division
This rule is known as the PEMDAS method.
In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.
Let us tackle the problem!
Sum of 4 thirds and 2
[tex](4 \times \frac{1}{3}) + 2[/tex]
8 copies of the sum of 4 thirds and 2 more
[tex]8 \times [(4 \times \frac{1}{3}) + 2][/tex]
Let's calculate above equation by using PEMDAS method!
[tex]8 \times [(4 \times \frac{1}{3}) + 2] = 8 \times [(\frac{4}{3}) + 2] [/tex]
[tex]8 \times [(4 \times \frac{1}{3}) + 2] = 8 \times [\frac{4}{3} + \frac{6}{3}] [/tex]
[tex]8 \times [(4 \times \frac{1}{3}) + 2] = 8 \times [ \frac{ 6 + 4 }{3} ][/tex]
[tex]8 \times [(4 \times \frac{1}{3}) + 2] = 8 \times [ \frac{ 10 }{3} ][/tex]
[tex]8 \times [(4 \times \frac{1}{3}) + 2] = \frac{ 8 \times 10 }{3} [/tex]
[tex]8 \times [(4 \times \frac{1}{3}) + 2] = \frac{ 80 }{3} [/tex]
[tex]8 \times [(4 \times \frac{1}{3}) + 2] = \boxed {26\frac{ 2 }{3} } [/tex]
Conclusion:
8 × [ ( 4 × ¹/₃ ) + 2 ] = 26 ²/₃
Learn more
- Perimeter of Rectangle : https://brainly.com/question/12826246
- Elimination Method : https://brainly.com/question/11233927
- Sum of The Ages : https://brainly.com/question/11240586
Answer details
Grade: Middle School
Subject: Mathematics
Chapter: Order Of Operations
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent
