Convert Mixed Number to Decimal: Reading 451 1/2 from Place Value Chart

Q: Why is there a zero in the tenths place if nothing is shown there?

When a place value column is empty, it means there's a zero there! In decimal numbers, we must show all place values up to the last non-zero digit to keep the correct value.

Q: How do I know where to put the decimal point?

The decimal point always goes after the ones column. Everything to the left is whole numbers (tens, hundreds, thousands), everything to the right is decimal parts (tenths, hundredths).

Q: What's the difference between 451.2 and 451.02?

$451.2 = 451.20$ (2 tenths), but $451.02$ is 2 hundredths. The position of the digit determines its value, so 451.2 is much larger than 451.02!

Q: Do I need to write trailing zeros after the decimal?

Only write zeros that are between non-zero digits and the decimal point. For example, write 451.02 (zero is needed), but 451.20 can be written as 451.2.

Q: How can I remember the decimal place names?

Whole number places: ones, tens, hundreds (add 's' and get bigger)Decimal places: tenths, hundredths (add 'ths' and get smaller)

Q: What if I mix up tenths and tens place?

Remember: tens are to the LEFT of ones (bigger numbers), tenths are to the RIGHT of ones (smaller numbers). The decimal point is your guide!

Place Value Charts with Decimal Positions

Write the number shown in the chart below as a decimal:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find the number

00:03 In empty places put 0

00:10 After 1 put the decimal point

00:15 Let's construct the number

00:18 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

Write the number shown in the chart below as a decimal:

Step-by-step solution

To solve this problem, let's identify each digit's position in the given chart:

The columns of the chart correspond to the place values of the number, listed as thousands (1000), hundreds (100), tens (10), ones (1), tenths (0.1), and hundredths (0.01).
According to the chart, the digits are organized as follows:
- In the hundreds column (100): the digit is $4$ .
- In the tens column (10): the digit is $5$ .
- In the ones column (1): the digit is $1$ .
- In the tenths column (0.1): no digit or zero is in this column, which means $0$ .
- In the hundredths column (0.01): the digit is $2$ .
Thus, arranging these digits in their respective place values, the number is $451.02$ .

Therefore, the number represented as a decimal is $451.02$ .

Final Answer

451.02

Key Points to Remember

Essential concepts to master this topic

Place Values: Read from left to right: thousands, hundreds, tens, ones, tenths, hundredths
Decimal Point: Separates whole numbers from decimal parts after ones column
Verification: Check that $4 \times 100 + 5 \times 10 + 1 \times 1 + 0 \times 0.1 + 2 \times 0.01 = 451.02$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to include zero in empty decimal places
Don't skip the tenths column just because it's empty = writing 451.2 instead of 451.02! This changes the actual value of the number. Always write zeros for empty decimal places to maintain proper place value positioning.

Practice Quiz

Test your knowledge with interactive questions

Determine the numerical value of the shaded area:

FAQ

Everything you need to know about this question

Why is there a zero in the tenths place if nothing is shown there?

When a place value column is empty, it means there's a zero there! In decimal numbers, we must show all place values up to the last non-zero digit to keep the correct value.

How do I know where to put the decimal point?

The decimal point always goes after the ones column. Everything to the left is whole numbers (tens, hundreds, thousands), everything to the right is decimal parts (tenths, hundredths).

What's the difference between 451.2 and 451.02?

$451.2 = 451.20$ (2 tenths), but $451.02$ is 2 hundredths. The position of the digit determines its value, so 451.2 is much larger than 451.02!

Do I need to write trailing zeros after the decimal?

Only write zeros that are between non-zero digits and the decimal point. For example, write 451.02 (zero is needed), but 451.20 can be written as 451.2.

How can I remember the decimal place names?

Whole number places: ones, tens, hundreds (add 's' and get bigger)
Decimal places: tenths, hundredths (add 'ths' and get smaller)

What if I mix up tenths and tens place?

Remember: tens are to the LEFT of ones (bigger numbers), tenths are to the RIGHT of ones (smaller numbers). The decimal point is your guide!

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