Place Value Practice: Finding the Number 973 Using Digit Positions

Place Value Identification with Three-Digit Numbers

My hundreds digit is 9, my tens digit is 7, and my units digit is 3 - what number am I?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

My hundreds digit is 9, my tens digit is 7, and my units digit is 3 - what number am I?

2

Step-by-step solution

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

  • Step 1: Identify the place values for each digit.
  • Step 2: Construct the number by assigning each digit to its correct place value.
  • Step 3: Ensure the number constructed matches the given conditions.

Now, let's work through each step:
Step 1: We are given that the hundreds digit is 9, the tens digit is 7, and the units digit is 3.
Step 2: We'll construct the number by placing each digit in its correct decimal position.
- 9 is in the hundreds place, contributing 9×100=900 9 \times 100 = 900 .
- 7 is in the tens place, contributing 7×10=70 7 \times 10 = 70 .
- 3 is in the units place, contributing 3×1=3 3 \times 1 = 3 .
Step 3: Adding these contributions together gives us:
900+70+3=973 900 + 70 + 3 = 973 .

Therefore, the solution to the problem is 973 973 .

3

Final Answer

973 973

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Each digit position has a specific value in base-10
  • Construction Method: Hundreds digit × 100 + tens × 10 + units × 1
  • Verification: Check that 973 has 9 hundreds, 7 tens, 3 units ✓

Common Mistakes

Avoid these frequent errors
  • Writing digits in wrong order
    Don't just write the digits as given (9, 7, 3) without considering place value = wrong number like 379 or 793! This ignores that position determines value. Always place each digit in its specified position: hundreds, tens, then units.

Practice Quiz

Test your knowledge with interactive questions

What number am I?

FAQ

Everything you need to know about this question

What's the difference between 973 and 379?

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The position of each digit changes its value! In 973, the 9 is worth 900 (hundreds place). In 379, the 9 is worth only 9 (units place). Same digits, completely different values!

How do I remember which place is which?

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Start from the right and work left: units, tens, hundreds. Think of it like counting: you count ones first, then groups of ten, then groups of one hundred.

What if I mix up the tens and hundreds digits?

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You'll get a completely different number! If you put 7 in hundreds and 9 in tens, you get 793 instead of 973. Always double-check which digit goes where.

Can I check my answer another way?

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Yes! Break down your number: 973=900+70+3 973 = 900 + 70 + 3 . Then verify: 900 has 9 hundreds ✓, 70 has 7 tens ✓, 3 has 3 units ✓

Why is place value so important?

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Place value is the foundation of our number system! Without it, we couldn't tell the difference between 37 and 73, or do any math operations correctly.

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