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 do the blue squares below represent?

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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