Calculate The Result Of The Following Expression:${ 2000 \times \frac{1}{5} }$

In this article, we will delve into the world of mathematics and explore the calculation of a given expression. The expression in question is $2000 \times \frac{1}{5}$. This seemingly simple expression can be solved using basic arithmetic operations, but it's essential to understand the underlying mathematical concepts to arrive at the correct result.

What is the Expression Trying to Tell Us?

The expression $2000 \times \frac{1}{5}$ can be broken down into two parts: the multiplication of 2000 by the fraction $\frac{1}{5}$. To solve this expression, we need to understand the concept of multiplication and division of fractions.

Multiplication of Fractions: A Review

When multiplying fractions, we multiply the numerators (the numbers on top) and multiply the denominators (the numbers on the bottom). In this case, we have:

$$\frac{1}{5} \times 2000$$

To solve this expression, we can multiply the numerator (1) by 2000, and the denominator (5) remains the same.

Simplifying the Expression

Now that we have broken down the expression, let's simplify it further. We can multiply 1 by 2000, which gives us 2000. The denominator remains 5.

$$\frac{2000}{5}$$

Dividing by a Fraction: A Conceptual Understanding

When dividing by a fraction, we can invert the fraction and multiply instead. In this case, we can invert $\frac{5}{1}$ and multiply it by 2000.

$$2000 \times \frac{1}{5} = 2000 \times \frac{1}{1} \div \frac{5}{1}$$

Simplifying the Division

Now that we have inverted the fraction, let's simplify the expression further. We can multiply 2000 by 1, and then divide by 5.

$$2000 \div 5$$

The Final Result

Now that we have simplified the expression, let's calculate the final result. We can divide 2000 by 5, which gives us 400.

$$2000 \div 5 = 400$$

Conclusion

In this article, we have explored the calculation of the expression $2000 \times \frac{1}{5}$. We have broken down the expression into smaller parts, simplified it using basic arithmetic operations, and arrived at the final result. The expression can be solved using the concept of multiplication and division of fractions, and the final result is 400.

Key Takeaways

• The expression $2000 \times \frac{1}{5}$ can be solved using basic arithmetic operations.
• The expression can be broken down into smaller parts using the concept of multiplication and division of fractions.
• The final result of the expression is 400.

Frequently Asked Questions

• What is the expression $2000 \times \frac{1}{5}$ trying to tell us?
  • The expression is trying to tell us to multiply 2000 by the fraction $\frac{1}{5}$.
• How do we simplify the expression $2000 \times \frac{1}{5}$?
  • We can simplify the expression by multiplying 1 by 2000, and then dividing by 5.
• What is the final result of the expression $2000 \times \frac{1}{5}$?
  • The final result of the expression is 400.
    Frequently Asked Questions: A Comprehensive Guide =====================================================

In our previous article, we explored the calculation of the expression $2000 \times \frac{1}{5}$. We broke down the expression into smaller parts, simplified it using basic arithmetic operations, and arrived at the final result. In this article, we will answer some of the most frequently asked questions related to the expression.

Q: What is the expression $2000 \times \frac{1}{5}$ trying to tell us?

A: The expression is trying to tell us to multiply 2000 by the fraction $\frac{1}{5}$. This can be broken down into two parts: the multiplication of 2000 by the numerator (1) and the multiplication of 2000 by the denominator (5).

Q: How do we simplify the expression $2000 \times \frac{1}{5}$?

A: We can simplify the expression by multiplying 1 by 2000, and then dividing by 5. This can be done using the concept of multiplication and division of fractions.

Q: What is the final result of the expression $2000 \times \frac{1}{5}$?

A: The final result of the expression is 400. This can be calculated by dividing 2000 by 5.

Q: Can we use a calculator to solve the expression $2000 \times \frac{1}{5}$?

A: Yes, we can use a calculator to solve the expression. However, it's essential to understand the underlying mathematical concepts to arrive at the correct result.

Q: What is the concept of multiplication and division of fractions?

A: The concept of multiplication and division of fractions involves multiplying or dividing the numerators and denominators separately. For example, when multiplying fractions, we multiply the numerators and multiply the denominators.

Q: How do we multiply fractions?

A: To multiply fractions, we multiply the numerators and multiply the denominators. For example, $\frac{1}{2} \times \frac{3}{4} = \frac{1 \times 3}{2 \times 4} = \frac{3}{8}$.

Q: How do we divide fractions?

A: To divide fractions, we can invert the second fraction and multiply instead. For example, $\frac{1}{2} \div \frac{3}{4} = \frac{1}{2} \times \frac{4}{3} = \frac{4}{6} = \frac{2}{3}$.

Q: What are some real-world applications of the expression $2000 \times \frac{1}{5}$?

A: The expression $2000 \times \frac{1}{5}$ can be used in various real-world applications, such as calculating discounts, tips, or percentages.

Q: Can we use the expression $2000 \times \frac{1}{5}$ to solve other mathematical problems?

A: Yes, we can use the expression $2000 \times \frac{1}{5}$ to solve other mathematical problems that involve multiplication and division of fractions.

Conclusion

In this article, we have answered some of the most frequently asked questions related to the expression $2000 \times \frac{1}{5}$. We have explored the concept of multiplication and division of fractions, and provided examples of how to use the expression in real-world applications. Whether you're a student or a professional, understanding the expression $2000 \times \frac{1}{5}$ can help you solve a wide range of mathematical problems.

Key Takeaways

• The expression $2000 \times \frac{1}{5}$ can be solved using basic arithmetic operations.
• The expression can be broken down into smaller parts using the concept of multiplication and division of fractions.
• The final result of the expression is 400.
• The expression can be used in various real-world applications, such as calculating discounts, tips, or percentages.
• The expression can be used to solve other mathematical problems that involve multiplication and division of fractions.