The place value system is an important concept in mathematics that helps us understand the numerical value of each digit in a number. In this article, we will delve into the topic of place value and specifically explore the place value of the digit 3 in the number 23.9.
Before we dive into the specifics, let’s first understand what place value means. Place value refers to the value of a digit based on its position or place in a number. Each digit in a number has a unique place value that determines its contribution to the overall value of the number.
Now, let’s shift our focus to the number 23.9. To determine the place value of the digit 3 in this number, we need to examine its position. The digit 3 is located in the tens place, which means its place value is ten times greater than if it were located in the ones place.
To break it down further, we can write the number 23.9 in expanded form, which separates each digit according to their place value. In expanded form, 3 is represented as 3 × 10, as it is in the tens place. The digit 2, on the other hand, is in the ones place, so its place value is simply 2 × 1. Finally, the digit 9 is located after the decimal point and is in the tenths place, so its place value is 9 × 0.1.
Now let’s specifically address the question, “What is the place value of the 3 in 23.9?” The **place value of the 3** in the number 23.9 is **30**. As mentioned earlier, the digit 3 is in the tens place, so its value is 3 × 10, which equals 30.
FAQs about Place Value:
1.
What is place value?
Place value refers to the value of a digit based on its position or place in a number.
2.
How does place value work?
Each digit in a number has a unique place value that determines its contribution to the overall value of the number.
3.
What is the place value of the digit 2 in 23.9?
The place value of the digit 2 in 23.9 is 2 since it is located in the ones place.
4.
What is the place value of the digit 9 in 23.9?
The place value of the digit 9 in 23.9 is 0.9 since it is located in the tenths place.
5.
What is the place value of the digit 9 in 99.9?
The place value of the digit 9 in 99.9 is 0.09 since it is located in the hundredths place.
6.
What is the place value of the digit 5 in 500.6?
The place value of the digit 5 in 500.6 is 50 since it is located in the tens place.
7.
What is the place value of the digit 7 in 7,123.45?
The place value of the digit 7 in 7,123.45 is 7,000 since it is located in the thousands place.
8.
Are there any other place values besides ones, tens, and hundreds?
Yes, place values continue to the left of the decimal point, such as thousands, ten thousands, hundred thousands, etc., and to the right of the decimal point, such as tenths, hundredths, thousandths, etc.
9.
How do you write a number in expanded form?
To write a number in expanded form, break down each digit according to its place value and multiply it accordingly.
10.
What is the place value of the digit 0 in 10.07?
The place value of the digit 0 in 10.07 is 0.007 since it is located in the thousandths place.
11.
What is the place value of the digit 1 in 0.12345?
The place value of the digit 1 in 0.12345 is 0.1 since it is located in the tenths place.
12.
How does understanding place value help in mathematical operations?
Understanding place value is crucial for performing addition, subtraction, multiplication, and division accurately, as it helps in maintaining the correct alignment of digits and carrying or borrowing values from one place to another.
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