Number Decomposition: Breaking Down 7 into Units and Tens

Place Value with Single-Digit Numbers

Separate the number 7 into units and/or tens.

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Step-by-step written solution

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1

Understand the problem

Separate the number 7 into units and/or tens.

2

Step-by-step solution

To solve this problem, we will follow a straightforward analysis:

The number 7 is a single-digit number. In the decimal system, numbers are represented by their place values, which include units, tens, hundreds, and so on. When a number has only one digit, like 7, it occupies the units place.

This means that the entire value of 7 is placed in the units position. Therefore, the decomposition of the number 7 is simply:

  • Step 1: Identify that 7 is a single-digit number.
  • Step 2: Recognize that the digit 7 occupies the units place entirely.

Thus, the representation of the number 7 is entirely in the form of units, and we write it as 7 units 7 \text{ units} .

Therefore, the correct choice from the options given is 7 units.

3

Final Answer

7 units

Key Points to Remember

Essential concepts to master this topic
  • Rule: Single-digit numbers occupy only the units place position
  • Technique: Number 7 has 0 tens and 7 units
  • Check: Verify that 0 tens + 7 units equals the original number 7 ✓

Common Mistakes

Avoid these frequent errors
  • Confusing digit value with place value
    Don't say 7 tens just because you see the digit 7 = gives 70 instead of 7! The digit 7 in position one represents units, not tens. Always identify the place value position first, then determine how many units or tens.

Practice Quiz

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What number do the blue squares below represent?

FAQ

Everything you need to know about this question

Why isn't 7 the same as 7 tens?

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7 tens would equal 70, not 7! The digit 7 in the units place represents exactly 7 ones. When we write numbers, the position of the digit determines its value.

How do I know which place a digit is in?

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Count from right to left: the first position is units, second is tens, third is hundreds. Since 7 has only one digit, it's automatically in the units place!

What if the number was 17 instead?

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Great question! 17 would be 1 ten and 7 units because the 1 is in the tens place and the 7 is in the units place.

Can a single-digit number ever have tens?

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No! Single-digit numbers (0-9) only use the units place. You need at least two digits to have both tens and units, like 10, 23, or 47.

How do I remember the difference between units and tens?

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  • Units place: rightmost position (ones)
  • Tens place: second position from right
  • Remember: every position to the left is 10 times bigger!

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