Write the place value and the value of the underlined digit. Place Value Value 67 435 11. 16 89 710 12 17 56 431 13 18 90 164 14 19 23 793 15 20
The Correct Answer and Explanation is:
ChatGPT said:
Here are the place values and values of the underlined digits:
| Number | Place Value | Value |
|---|---|---|
| 67,435 | Thousands | 7,000 |
| 89,710 | Hundreds | 700 |
| 56,431 | Ten Thousands | 50,000 |
| 90,164 | Tens | 60 |
| 23,793 | Units (Ones) | 3 |
Explanation (300 words):
Understanding digits in numbers involves two ideas: place value and value. Place value describes the position of a digit in a number, such as units, tens, hundreds, thousands, and so on. Each position increases in value by a power of ten as it moves from right to left. Value is the actual worth of the digit, calculated based on its place.
In the number 67,435, the underlined digit 7 is in the thousands place. This position is four digits from the right, so the value of 7 is 7,000.
In 89,710, the underlined digit 7 sits in the hundreds place. Being the third digit from the right, its value becomes 700.
In 56,431, the digit 5 is underlined and located in the ten thousands place. This makes its value 50,000 since 5 is multiplied by 10,000.
Looking at 90,164, the underlined digit 6 is in the tens place. Its position gives it a value of 60, derived from 6 times 10.
In 23,793, the underlined digit 3 is in the units (ones) place. This is the rightmost digit, and its value is simply 3.
Grasping place value concepts is essential for performing accurate mathematical operations such as addition, subtraction, multiplication, and division. It also plays a major role in reading and writing numbers properly, rounding values, and comparing quantities. Each digit’s meaning changes depending on where it is placed, even if the digit itself remains the same.
