Place Value Problem: Find the Number with Digits 7, 9, and 5

Q: What's the difference between hundreds, tens, and units digits?

The hundreds digit is leftmost (worth 100s), tens digit is middle (worth 10s), and units digit is rightmost (worth 1s). Think of it as the digit's 'address' in the number!

Q: How do I remember which position is which?

Read from left to right: hundreds, tens, units. It's like reading a book! The hundreds place is where you start, just like reading the first letter of a word.

Q: Can a three-digit number start with 0?

No! If the hundreds digit were 0, it wouldn't be written, making it a two-digit number. Three-digit numbers always have digits 1-9 in the hundreds place.

Q: What if I write the digits in the wrong order?

You get a completely different number! For example, $ 795 $ and $ 597 $ are not the same. Place value position matters tremendously in our number system.

Q: How can I double-check my answer?

Break down your number: Count how many hundreds (7), how many tens (9), and how many ones (5). Does it match what the problem asked for?

Place Value Construction with Three-Digit Numbers

My hundreds digit is 7, my tens digit is 9, and my units digit is 5.

What number am I?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

My hundreds digit is 7, my tens digit is 9, and my units digit is 5.

What number am I?

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the given information about the digit placement.
Step 2: Use the decimal system to construct the number based on the given digits.

Now, let's work through each step:
Step 1: The hundreds digit is given as 7, the tens digit as 9, and the units digit as 5.
Step 2: According to place value in our decimal system, a three-digit number is of the form $abc$ , where:

$a$ is the hundreds digit.
$b$ is the tens digit.
$c$ is the units digit.

Therefore, placing the digits 7, 9, and 5 in their respective places yields the number 795.

Therefore, the solution to the problem is $795$ .

Final Answer

$795$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Each digit position has specific value in decimal system
Construction Method: Hundreds=7, tens=9, units=5 gives $795$
Verification: Check by reading left to right: 7 hundreds, 9 tens, 5 ones ✓

Common Mistakes

Avoid these frequent errors

Mixing up digit positions when constructing the number
Don't place digits randomly like writing 597 or 975 when given specific positions! This ignores the place value system and creates wrong numbers. Always place each digit in its exact specified position: hundreds first, tens second, units last.

Practice Quiz

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What number do the blue squares below represent?

FAQ

Everything you need to know about this question

What's the difference between hundreds, tens, and units digits?

The hundreds digit is leftmost (worth 100s), tens digit is middle (worth 10s), and units digit is rightmost (worth 1s). Think of it as the digit's 'address' in the number!

How do I remember which position is which?

Read from left to right: hundreds, tens, units. It's like reading a book! The hundreds place is where you start, just like reading the first letter of a word.

Can a three-digit number start with 0?

No! If the hundreds digit were 0, it wouldn't be written, making it a two-digit number. Three-digit numbers always have digits 1-9 in the hundreds place.

What if I write the digits in the wrong order?

You get a completely different number! For example, $795$ and $597$ are not the same. Place value position matters tremendously in our number system.

How can I double-check my answer?

Break down your number: Count how many hundreds (7), how many tens (9), and how many ones (5). Does it match what the problem asked for?

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