Place Value Practice: Converting 1 Hundred, 3 Tens, 1 One to Standard Form

Q: What if I have 0 in one of the place values?

Zeros are important placeholders! If you have 2 hundreds, 0 tens, 5 ones, you get $200 + 0 + 5 = 205$. Never skip the zero - it shows there's nothing in that place value.

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

Think of it from right to left: ones, tens, hundreds. The ones place is always on the far right, tens in the middle, and hundreds on the left for 3-digit numbers.

Q: What's the difference between 'number of tens' and 'tens place'?

They mean the same thing! '3 tens' means the digit 3 goes in the tens place. So $3 \times 10 = 30$ contributes 30 to your final number.

Place Value Understanding with Multi-Digit Conversion

Number of ones: 1

Number of tens: 3

Number of hundreds: 1

Determine the correct number according to the given place values:

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Step-by-step video solution

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00:00 Find the number

00:04 Place the digits in the appropriate position according to the given data

00:07 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Number of ones: 1

Number of tens: 3

Number of hundreds: 1

Determine the correct number according to the given place values:

Step-by-step solution

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

Step 1: Understand and identify the place values.
Step 2: Calculate the contribution of each place value.
Step 3: Sum the contributions to get the total number.

Now, let's work through each step:
Step 1: We are given the digits: 1 one, 3 tens, and 1 hundred, which means the respective places are:
- Hundreds place: 1
- Tens place: 3
- Ones place: 1

Step 2: Calculate the contributions from each digit:
- For the hundreds place: Multiply 1 (hundreds digit) by 100: $1 \times 100 = 100$ .
- For the tens place: Multiply 3 (tens digit) by 10: $3 \times 10 = 30$ .
- For the ones place: Multiply 1 (ones digit) by 1: $1 \times 1 = 1$ .

Step 3: Sum the contributions:
Combine all the calculated values: $100 + 30 + 1 = 131$ .
Thus, the number formed by these place values is 131.

Therefore, the solution to the problem is $131$ .

Final Answer

131

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Each position has ten times the value of position to its right
Technique: Multiply digit by place value: $1 \times 100 = 100$ , $3 \times 10 = 30$ , $1 \times 1 = 1$
Check: Add all contributions and verify digits appear in correct positions: 131 ✓

Common Mistakes

Avoid these frequent errors

Writing digits in the wrong order
Don't just write down the digits as given (1, 3, 1) to get 131 by accident! This ignores place value meaning and fails when digits change position. Always multiply each digit by its place value first, then add the results.

Practice Quiz

Test your knowledge with interactive questions

Determine the number of hundredths in the following number:

0.96

FAQ

Everything you need to know about this question

Why can't I just write the digits in order: 1, 3, 1?

You happened to get lucky this time! The correct method is to multiply each digit by its place value first. If the problem said '3 hundreds, 1 ten, 1 one', writing them in order would give you 311 instead of the correct answer 301.

What if I have 0 in one of the place values?

Zeros are important placeholders! If you have 2 hundreds, 0 tens, 5 ones, you get $200 + 0 + 5 = 205$ . Never skip the zero - it shows there's nothing in that place value.

How do I remember which place value is which?

Think of it from right to left: ones, tens, hundreds. The ones place is always on the far right, tens in the middle, and hundreds on the left for 3-digit numbers.

What's the difference between 'number of tens' and 'tens place'?

They mean the same thing! '3 tens' means the digit 3 goes in the tens place. So $3 \times 10 = 30$ contributes 30 to your final number.

Can I solve this problem in my head?

Absolutely! Once you understand place values, you can think: 1 hundred = 100, 3 tens = 30, 1 one = 1. Then just add: 100 + 30 + 1 = 131.

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