Number Transformation: Adding 7 to the Units Digit of 900

Digit Manipulation with Units Place Changes

If you take the number 900 and increase its units digit by 7, then what number are you left with?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

If you take the number 900 and increase its units digit by 7, then what number are you left with?

2

Step-by-step solution

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

  • Step 1: Identify the units digit of the number 900, which is 0.
  • Step 2: Increase this digit by 7, resulting in 0+7=70 + 7 = 7.
  • Step 3: Form the new number by combining the unchanged hundreds and tens digits with the newly computed units digit.

Now, let's work through each step:
Step 1: The units digit of 900 is 0.
Step 2: Adding 7 to the units digit gives us 7.
Step 3: The remaining digits (hundreds and tens digits in 900) remain unchanged, so the number becomes 907.

Therefore, the number you are left with after increasing the units digit by 7 is 907 907 .

3

Final Answer

907 907

Key Points to Remember

Essential concepts to master this topic
  • Place Value: Units digit is rightmost position in any number
  • Technique: Add to units digit: 0 + 7 = 7, keep other digits same
  • Check: Verify final number has correct hundreds, tens, and new units digit ✓

Common Mistakes

Avoid these frequent errors
  • Adding 7 to the entire number instead of just the units digit
    Don't add 7 to 900 getting 907! This changes the wrong place value position. The problem asks to increase only the units digit by 7, so 0 becomes 7 while 9 and 0 stay the same. Always identify the specific digit position first.

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 exactly is the units digit in a number?

+

The units digit is the rightmost digit in any whole number. In 900, the units digit is 0. In 345, the units digit would be 5.

Why doesn't 900 + 7 = 907 work here?

+

Because adding 7 to the entire number is different from adding 7 to just the units digit. We're only changing that one digit position, not the whole number's value.

What if adding to the units digit gives me a number bigger than 9?

+

Great question! If the units digit plus the added number exceeds 9, you'd need to carry over to the tens place. But in this case, 0+7=7 0 + 7 = 7 , so no carrying is needed.

Do the hundreds and tens digits ever change in this type of problem?

+

No! When you're only modifying the units digit, the hundreds and tens digits stay exactly the same. In 900, the 9 and the middle 0 remain unchanged.

How can I remember which digit is which place value?

+

Think from right to left: units, tens, hundreds. In 900, reading right to left: 0 is units, 0 is tens, 9 is hundreds.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Natural Numbers around 100 questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations