What is the value of 2/3 4 5?

What is the value of 2/3 4 5?

When we encounter an expression like “2/3 4 5”, it is important to understand the correct order of operations to determine its value. The value of this expression can be found by following the standard mathematical rule of “Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right)”, also known as PEMDAS/BODMAS.

To solve “2/3 4 5”, we start with multiplication and division. However, it is important to note that the expression “2/3” represents division, not a fraction. Therefore, let’s rewrite the expression as “2 divided by 3” for clarity.

Now, applying the order of operations, we have:

2 divided by 3 multiplied by 4 multiplied by 5

Multiplication is associative, meaning the order in which we multiply does not affect the result. So, we can rewrite the expression as follows:

(2 divided by 3) multiplied by (4 multiplied by 5)

Now, let’s solve this expression step by step:

First, let’s calculate 4 multiplied by 5, which equals 20.

Now, we have:

(2 divided by 3) multiplied by 20

To complete this expression, we need to evaluate the division operation. Dividing 2 by 3 gives us a decimal value of approximately 0.6667.

Now, we can substitute this value into the expression:

0.6667 multiplied by 20

The final result of this expression is approximately 13.3334.

Therefore, the value of 2/3 4 5 is approximately 13.3334.

Now, let’s address some related FAQs:

FAQs

1. What does the expression “2/3 4 5” mean?

The expression “2/3 4 5” is an arithmetic expression that requires the application of order of operations to determine its value.

2. What is the order of operations in mathematics?

The order of operations, also known as PEMDAS/BODMAS, stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

3. How do I solve “2/3 4 5” step by step?

To solve “2/3 4 5”, follow the order of operations. Start with multiplication and division from left to right.

4. Why is it important to follow the order of operations?

Following the order of operations ensures consistent and accurate results in mathematical calculations.

5. Is “2/3” a fraction or division?

In the expression “2/3 4 5”, the term “2/3” represents division, not a fraction.

6. Can I use a calculator to solve “2/3 4 5”?

Yes, you can use a calculator to evaluate the expression “2/3 4 5”. However, it is crucial to understand the order of operations for manual calculations.

7. What is the value of 4 multiplied by 5?

The value of 4 multiplied by 5 is 20.

8. What is the value of 2 divided by 3?

The value of 2 divided by 3 is approximately 0.6667.

9. What is the value of 0.6667 multiplied by 20?

The value of 0.6667 multiplied by 20 is approximately 13.3334.

10. Can I simplify the expression “2/3 4 5” further?

No, the expression “2/3 4 5” cannot be simplified further as it is already evaluated to its numerical value.

11. How do I know when to use multiplication and division before addition and subtraction in an expression?

The order of operations dictates that multiplication and division should be performed before addition and subtraction.

12. Can the order of operations be changed?

No, the order of operations is a mathematical convention and must be followed consistently for accurate results in calculations.

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