One half of one fifth of one tenth of two thirds of one half of 1500 is 5
Further explanation
Order of Operations in Mathematics follow this following rule :
- Parentheses
- Exponents
- Multiplication and Division
- Addition and Subtraction
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 !
One half of 1500
[tex]\frac{1}{2} \times 1500[/tex]
Two thirds of one half of 1500
[tex]\frac {2}{3} \times \frac{1}{2} \times 1500[/tex]
One tenth of two thirds of one half of 1500
[tex]\frac{1}{10} \times \frac {2}{3} \times \frac{1}{2} \times 1500[/tex]
One fifth of one tenth of two thirds of one half of 1500
[tex]\frac {1}{5} \times \frac{1}{10} \times \frac {2}{3} \times \frac{1}{2} \times 1500[/tex]
One half of one fifth of one tenth of two thirds of one half of 1500
[tex]\frac{1}{2} \times \frac {1}{5} \times \frac{1}{10} \times \frac {2}{3} \times \frac{1}{2} \times 1500 = \frac{1}{300} \times 1500 = \boxed{5}[/tex]
Learn more
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Answer details
Grade: Middle School
Subject: Mathematics
Chapter: Percentage
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent
