Digit Manipulation: Changing 600's Hundreds (+2) and Units (+3)

Q: Why don't we change the tens digit in this problem?

The problem only asks to change the hundreds and units digits. The tens digit stays the same unless specifically mentioned. Always read carefully to see which digits to modify!

Q: How do I remember which digit is which place value?

Start from the right! The rightmost digit is always units, middle is tens, leftmost is hundreds. Think: Units-Tens-Hundreds going right to left.

Q: Can I use this method with bigger numbers?

Absolutely! This works with any size number. Just identify each digit's place value (thousands, ten-thousands, etc.) and apply the changes to the correct positions.

Place Value Manipulation with Multiple Digit Changes

If you increase the units digit in the number 600 by 3 and the hundreds digit by 2, then what number do you get?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

If you increase the units digit in the number 600 by 3 and the hundreds digit by 2, then what number do you get?

Step-by-step solution

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

Step 1: Identify the current digits of the number 600. It has a hundreds digit of 6, a tens digit of 0, and a units digit of 0.
Step 2: Apply the changes: Increase the units digit by 3, increasing it from 0 to 3. Increase the hundreds digit by 2, increasing it from 6 to 8. The tens digit remains unchanged at 0.
Step 3: Construct the new number using these updated digits. The hundreds digit 8, the unchanged tens digit 0, and the units digit 3 yield the new number 803.

Therefore, the solution to the problem is $803$ .

Final Answer

$803$

Key Points to Remember

Essential concepts to master this topic

Place Value: Identify hundreds, tens, and units positions first
Technique: Add changes separately: 600 becomes 6+2=8 hundreds, 0+3=3 units
Check: Count positions left to right: 8 (hundreds), 0 (tens), 3 (units) = 803 ✓

Common Mistakes

Avoid these frequent errors

Adding changes to the wrong digit positions
Don't add 2 to the units digit and 3 to the hundreds digit = 623! This swaps the operations and gives a completely wrong answer. Always match each change to its correct place value position: hundreds change goes to hundreds digit, units change goes to units digit.

Practice Quiz

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What number do the blue squares below represent?

FAQ

Everything you need to know about this question

What if the original number doesn't have all three digits?

Numbers like 600 actually do have all three digits! The 6 is in hundreds place, and there are invisible zeros in tens and units places. Always think of 600 as 6-0-0.

What happens if adding makes a digit bigger than 9?

Great question! If adding creates a digit like 12, you'd need to carry over to the next place value. For example, if units digit becomes 12, write 2 and add 1 to the tens place.

Why don't we change the tens digit in this problem?

The problem only asks to change the hundreds and units digits. The tens digit stays the same unless specifically mentioned. Always read carefully to see which digits to modify!

How do I remember which digit is which place value?

Start from the right! The rightmost digit is always units, middle is tens, leftmost is hundreds. Think: Units-Tens-Hundreds going right to left.

Can I use this method with bigger numbers?

Absolutely! This works with any size number. Just identify each digit's place value (thousands, ten-thousands, etc.) and apply the changes to the correct positions.

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