Place Value Analysis: Finding the Value of 1 in 19,785

Q: Why do we count from right to left instead of left to right?

The place value system is built from right to left because the rightmost digit represents ones, then tens, hundreds, and so on. This matches how we build numbers: 5 + 80 + 700 + 9,000 + 10,000 = 19,785.

Q: How can I remember the place value names?

Use this pattern: Units, Tens, Hundreds, Thousands, Ten thousands. Notice that after hundreds, we add 'thousands' to the end. So 'ten' becomes 'ten thousands'.

Q: What's the difference between digit value and place value?

The digit is just the number itself (like 1), but the place value tells you what position it's in (like ten thousands). The actual value is digit × place value = 1 × 10,000 = 10,000.

Q: What if the number has more than 5 digits?

The pattern continues! After ten thousands comes hundred thousands, then millions. Just keep building: hundreds, thousands, ten thousands, hundred thousands, millions.

Q: Can a digit appear in multiple places in the same number?

Yes! For example, in 11,111, the digit 1 appears in every place: units, tens, hundreds, thousands, and ten thousands. Each has the same digit but different place values.

Place Value Identification with Five-Digit Numbers

What is the place value of the digit 1 in the number 19,785?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

What is the place value of the digit 1 in the number 19,785?

Step-by-step solution

To solve the problem, we need to determine the place value of the digit 1 in the number 19,785:

Step 1: Identify the position of the digit 1 in the number.
The given number is 19,785. When reading from left to right, the digit 1 is the first digit. This position corresponds to ten thousands.
Step 2: Confirm the place value.
The number is structured as follows: $10,000$ (ten thousands), $1,000$ (thousands), $100$ (hundreds), $10$ (tens), $1$ (units).
Step 3: Assign the place value.
The digit 1, being the first digit from the left, is in the ten thousands place.

Therefore, the place value of the digit 1 in the number 19,785 is Ten thousands.

Final Answer

Ten thousands

Key Points to Remember

Essential concepts to master this topic

Position Rule: Count from right to left starting with units place
Technique: In 19,785, the 1 is leftmost = ten thousands place
Check: 1 × 10,000 = 10,000, confirming ten thousands position ✓

Common Mistakes

Avoid these frequent errors

Counting positions from left to right
Don't count 1 as 'first position' from the left = units place error! This reverses the entire place value system and gives completely wrong answers. Always count positions from right to left, starting with units.

Practice Quiz

Test your knowledge with interactive questions

What number do the units shown below represent?

Write the units in the place value chart and convert into a number.

FAQ

Everything you need to know about this question

Why do we count from right to left instead of left to right?

The place value system is built from right to left because the rightmost digit represents ones, then tens, hundreds, and so on. This matches how we build numbers: 5 + 80 + 700 + 9,000 + 10,000 = 19,785.

How can I remember the place value names?

Use this pattern: Units, Tens, Hundreds, Thousands, Ten thousands. Notice that after hundreds, we add 'thousands' to the end. So 'ten' becomes 'ten thousands'.

What's the difference between digit value and place value?

The digit is just the number itself (like 1), but the place value tells you what position it's in (like ten thousands). The actual value is digit × place value = 1 × 10,000 = 10,000.

What if the number has more than 5 digits?

The pattern continues! After ten thousands comes hundred thousands, then millions. Just keep building: hundreds, thousands, ten thousands, hundred thousands, millions.

Can a digit appear in multiple places in the same number?

Yes! For example, in 11,111, the digit 1 appears in every place: units, tens, hundreds, thousands, and ten thousands. Each has the same digit but different place values.

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