Calculating the Value of the Digit 8 in Each Number

Oct 13, 2025 by windailys.com 6 views

Introduction

When comparing the values of digits in different numbers, it's essential to understand the concept of place value and how it affects the overall value of a digit. In this article, we will explore the value of the digit 8 in two different numbers, $$5,\underline{8}29$$ and $$4\underline{8}7$$, and determine how many times greater the value of the digit 8 is in the first number compared to the second number.

Understanding Place Value

To begin, let's understand the concept of place value. In a decimal number, each digit has a specific place value based on its position. The place value of a digit is determined by its position in the number, with the rightmost digit being in the ones place, the next digit to the left being in the tens place, and so on.

For example, in the number $$5,\underline{8}29$$, the digit 8 is in the hundreds place, while the digit 2 is in the tens place, and the digit 9 is in the ones place. Similarly, in the number $$4\underline{8}7$$, the digit 8 is in the tens place, and the digit 7 is in the ones place.

Calculating the Value of the Digit 8 in Each Number

Now that we understand the concept of place value, let's calculate the value of the digit 8 in each number.

In the number $$5,\underline{8}29$$, the digit 8 is in the hundreds place, which means its value is 800. In the number $$4\underline{8}7$$, the digit 8 is in the tens place, which means its value is 80.

Comparing the Values of the Digit 8

Now that we have calculated the value of the digit 8 in each number, let's compare the two values.

The value of the digit 8 in $$5,\underline{8}29$$ is 800, while the value of the digit 8 in $$4\underline{8}7$$ is 80. To determine how many times greater the value of the digit 8 is in the first number compared to the second number, we can divide the value of the digit 8 in the first number by the value of the digit 8 in the second number.

Calculating the Ratio

To calculate the ratio, we can divide the value of the digit 8 in the first number by the value of the digit 8 in the second number:

800 ÷ 80 = 10

Conclusion

In conclusion, the value of the digit 8 in $$5,\underline{8}29$$ is 800, while the value of the digit 8 in $$4\underline{8}7$$ is 80. To determine how many times greater the value of the digit 8 is in the first number compared to the second number, we can divide the value of the digit 8 in the first number by the value of the digit 8 in the second number, which gives us a ratio of 10.

Therefore, the correct answer is:

A. 10

Frequently Asked Questions

Q: What is the value of the digit 8 in $$5,\underline{8}29$$?

A: The value of the digit 8 in $$5,\underline{8}29$$ is 800.

Q: What is the value of the digit 8 in $$4\underline{8}7$$?

A: The value of the digit 8 in $$4\underline{8}7$$ is 80.

Q: How many times greater is the value of the digit 8 in $$5,\underline{8}29$$ than the value of the digit 8 in $$4\underline{8}7$$?

A: The value of the digit 8 in $$5,\underline{8}29$$ is 10 times greater than the value of the digit 8 in $$4\underline{8}7$$.

References

[1] Khan Academy. (n.d.). Place Value. Retrieved from https://www.khanacademy.org/math/cc-6th-grade-math/cc-6th-place-value/cc-6th-place-value-intro/v/place-value
[2] Math Open Reference. (n.d.). Place Value. Retrieved from https://www.mathopenref.com/placevalue.html

Note: The references provided are for informational purposes only and are not directly related to the specific problem being solved.

Introduction

In our previous article, we explored the value of the digit 8 in two different numbers, $$5,\underline{8}29$$ and $$4\underline{8}7$$, and determined how many times greater the value of the digit 8 is in the first number compared to the second number. In this article, we will answer some frequently asked questions related to this topic.

Q&A

Q: What is the place value of the digit 8 in $$5,\underline{8}29$$?

A: The place value of the digit 8 in $$5,\underline{8}29$$ is 800, as it is in the hundreds place.

Q: What is the place value of the digit 8 in $$4\underline{8}7$$?

A: The place value of the digit 8 in $$4\underline{8}7$$ is 80, as it is in the tens place.

Q: How do you calculate the value of the digit 8 in each number?

A: To calculate the value of the digit 8 in each number, you need to determine its place value and multiply it by the corresponding value of the place. For example, in the number $$5,\underline{8}29$$, the digit 8 is in the hundreds place, so its value is 800.

Q: What is the ratio of the value of the digit 8 in $$5,\underline{8}29$$ to the value of the digit 8 in $$4\underline{8}7$$?

A: The ratio of the value of the digit 8 in $$5,\underline8}29$$ to the value of the digit 8 in $$4\underline{8}7$$ is 101, as the value of the digit 8 in $$5,\underline{829$$ is 10 times greater than the value of the digit 8 in $$4\underline{8}7$$.

Q: What is the significance of understanding the value of the digit 8 in two different numbers?

A: Understanding the value of the digit 8 in two different numbers is essential in mathematics, as it helps you to compare and contrast different numbers and to solve problems involving place value.

Q: How can you apply the concept of place value to real-life situations?

A: The concept of place value can be applied to real-life situations, such as calculating the cost of items, determining the value of assets, and solving problems involving time and money.