Place Value Modification: Changing Digits in 429

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

Use the pattern: Hundreds-Tens-Ones from left to right. In 429, the 4 is hundreds (leftmost), 2 is tens (middle), and 9 is ones (rightmost).

Q: What if adding makes a digit greater than 9?

If any digit becomes 10 or more, you need to carry over to the next place value. For example, if tens digit becomes 12, write 2 in tens place and add 1 to hundreds place.

Place Value Modifications with Digit Increases

If you increase the tens digit in the number 429 by 1 and the hundreds digit by 2, then what number are you left with?

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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 tens digit in the number 429 by 1 and the hundreds digit by 2, then what number are you left with?

Step-by-step solution

To solve this problem, we will modify the digits of the number 429 based on the given instructions:

Step 1: Identify the digits in the number 429. The hundreds digit is 4, the tens digit is 2, and the ones digit is 9.
Step 2: Increase the tens digit by 1. Therefore, the new tens digit is $2 + 1 = 3$ .
Step 3: Increase the hundreds digit by 2. Therefore, the new hundreds digit is $4 + 2 = 6$ .
Step 4: Construct the new number. The new number has a hundreds digit of 6, a tens digit of 3, and an unchanged ones digit of 9.

Therefore, the new number formed is $639$ .

The correct answer to this problem is $639$ , which matches choice 2.

Final Answer

$639$

Key Points to Remember

Essential concepts to master this topic

Rule: Identify each digit's place value position first
Technique: Add specified amounts: tens digit 2+1=3, hundreds digit 4+2=6
Check: Verify new number maintains correct place values: 6 hundreds, 3 tens, 9 ones = 639 ✓

Common Mistakes

Avoid these frequent errors

Adding to the wrong digit positions
Don't confuse which digit is in which place value position = wrong final answer! Students often mix up tens and hundreds places. Always identify place values first: rightmost is ones, middle is tens, leftmost is hundreds.

Practice Quiz

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What number do the blue squares below represent?

FAQ

Everything you need to know about this question

How do I remember which digit is in which place?

Use the pattern: Hundreds-Tens-Ones from left to right. In 429, the 4 is hundreds (leftmost), 2 is tens (middle), and 9 is ones (rightmost).

What if adding makes a digit greater than 9?

If any digit becomes 10 or more, you need to carry over to the next place value. For example, if tens digit becomes 12, write 2 in tens place and add 1 to hundreds place.

Can I change the ones digit too?

Only change the digits mentioned in the problem! In this case, the ones digit stays the same at 9 because no change was requested for it.

How do I check my final answer?

Compare each digit in your final number to what it should be: original + change = new digit. For 639: hundreds (4+2=6 ✓), tens (2+1=3 ✓), ones (9+0=9 ✓).

What's the easiest way to avoid mistakes?

Write the original number with place value labels underneath:

4 2 9
H T O

Then make your changes step by step and build the new number.

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