Place Value Problem: Constructing a Number with 7 Hundreds, 1 Ten, and 8 Ones

Place Value Construction with Three-Digit Numbers

Number of ones: 8

Number of tens: 1

Number of hundreds: 7

Determine the correct number according to the above place values:

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Step-by-step video solution

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00:00 Find the number
00:03 Place the digits in the appropriate position according to the given data,
00:08 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Number of ones: 8

Number of tens: 1

Number of hundreds: 7

Determine the correct number according to the above place values:

2

Step-by-step solution

To solve this problem, we need to construct a number using the digits provided for specific place values.

  • Step 1: Identify the place values: ones, tens, and hundreds.
  • Step 2: Allocate the digits to the correct place values:
    - Ones digit: 88
    - Tens digit: 11
    - Hundreds digit: 77
  • Step 3: Combine these according to place value to form the number.

Thus, we construct the number by starting from the highest place value to the lowest:
Hundreds place: 77
Tens place: 11
Ones place: 88

Hence, the number formed by these place values is 718718.

Therefore, the correct solution is 718718.

3

Final Answer

718

Key Points to Remember

Essential concepts to master this topic
  • Rule: Write digits from highest to lowest place value position
  • Technique: Hundreds digit 7, tens digit 1, ones digit 8 = 718
  • Check: Count backwards: 718 has 7 hundreds, 1 ten, 8 ones ✓

Common Mistakes

Avoid these frequent errors
  • Writing digits in order of appearance rather than place value
    Don't write digits as they appear in the problem (8, 1, 7 = 817)! This ignores place value positions and creates wrong numbers. Always write the hundreds digit first, then tens, then ones.

Practice Quiz

Test your knowledge with interactive questions

Determine the number of tenths in the following number:

1.3

FAQ

Everything you need to know about this question

Why can't I just write the numbers in the order given?

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The order in the problem tells you how many of each place value, not the final number order. Think of it like building blocks: you need 7 hundred-blocks, 1 ten-block, and 8 one-blocks to build 718.

How do I remember which digit goes where?

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Remember HTO (Hundreds-Tens-Ones) from left to right! The hundreds digit always comes first, like the biggest building block at the bottom of a tower.

What if one of the place values is zero?

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Zero is still important! If you have 0 tens, you still write 0 in the tens place. For example: 5 hundreds, 0 tens, 3 ones = 503 (not 53).

Can I check my answer using addition?

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Yes! Break down your number: 718=700+10+8718 = 700 + 10 + 8. This shows you have exactly 7 hundreds, 1 ten, and 8 ones.

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

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A digit is just the symbol (like 7), but place value tells you what it's worth. The digit 7 in the hundreds place is worth 700, not just 7!

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