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Decimal Place Value - GCSE Maths - Steps & Examples - Free Printable

Decimal Place Value - GCSE Maths - Steps &  Examples

Educational worksheet: Decimal Place Value - GCSE Maths - Steps & Examples. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Decimal Place Value - GCSE Maths - Steps & Examples
The image shows a place value chart that helps us understand the value of each digit in a number based on its position. Let's analyze what’s given and solve the problem.

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🔍 Step 1: Understand the Chart



The chart has columns for different place values, both whole numbers and decimals:

| Millions | Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Ones | Tenths (1/10) | Hundredths (1/100) | Thousandths (1/1000) |
|----------|-------------------|---------------|-----------|----------|------|------|----------------|---------------------|-----------------------|
| M | HTh | TTh | T | H | T | O | • | 1/10 | 1/100 | 1/1000 |

And the digits are filled in as:

- Ones (O): 5
- Tenths (1/10): 7
- Hundredths (1/100): 9
- Thousandths (1/1000): 3

All other places (Millions to Hundreds, Tens) are blank.

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🔢 Step 2: Write the Number



We only have digits in the Ones, Tenths, Hundredths, and Thousandths places.

So, let's build the number:

- Ones: 5 → This is the whole number part.
- Tenths: 7 → 7 × 0.1 = 0.7
- Hundredths: 9 → 9 × 0.01 = 0.09
- Thousandths: 3 → 3 × 0.001 = 0.003

Now add them up:

$$
5 + 0.7 + 0.09 + 0.003 = 5.793
$$

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Final Answer:



$$
\boxed{5.793}
$$

This is the number represented in the place value chart.

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📝 Explanation:



- The decimal point is between the Ones and Tenths columns.
- Digits to the left of the decimal represent whole numbers.
- Digits to the right represent fractions of a whole (tenths, hundredths, thousandths).
- Since no digits are filled in higher places (like Tens, Hundreds, etc.), we assume they are zero.

Thus, the complete number is 5.793.
Parent Tip: Review the logic above to help your child master the concept of place value worksheet tenths hundredths thousandths.
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