# How to Decode Decimals: Unveiling the Value of Each Digit

Every digit in a decimal number has a specific value based on its position or place value. Understanding the value of each digit is crucial for various mathematical operations and real-world applications. Let's explore how to determine the value of each digit in a decimal number.

## Digit’s Value within a Decimal Number

### Example 1:

Decimal Number: $$6.341$$

To determine the value of each digit:

– The digit $$6$$ is in the ones place. Its value is $$6 \times 1 = 6$$.

– The digit $$3$$ is in the tenths place. Its value is $$3 \times 0.1 = 0.3$$.

– The digit $$4$$ is in the hundredths place. Its value is $$4 \times 0.01 = 0.04$$.

– The digit $$1$$ is in the thousandths place. Its value is $$1 \times 0.001 = 0.001$$.

In the number $$6.341$$, the value of the digit $$6$$ is $$6$$, the value of the digit $$3$$ is $$0.3$$, the value of the digit $$4$$ is $$0.04$$, and the value of the digit $$1$$ is $$0.001$$.

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### Example 2:

Decimal Number: $$8.72$$

To determine the value of each digit:

– The digit $$8$$ is in the ones place. Its value is $$8 \times 1 = 8$$.

– The digit $$7$$ is in the tenths place. Its value is $$7 \times 0.1 = 0.7$$.

– The digit $$2$$ is in the hundredths place. Its value is $$2 \times 0.01 = 0.02$$.

In the number $$8.72$$, the value of the digit $$8$$ is $$8$$, the value of the digit $$7$$ is $$0.7$$, and the value of the digit $$2$$ is $$0.02$$.

Remember that recognizing the value of each digit in a decimal number is foundational for understanding the number’s overall value. This skill is essential for rounding, comparing, and performing arithmetic with decimals. Practice regularly to master this concept!

### Practice Questions:

1. What is the value of the digit $$5$$ in the number $$5.63$$?

2. Determine the value of the digit $$9$$ in the number $$0.491$$.

3. What is the value of the digit $$4$$ in the number $$3.42$$?

4. Determine the value of the digit $$0$$ in the number $$7.03$$.

5. What is the value of the digit $$6$$ in the number $$0.067$$?

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1. $$5$$

2. $$0.09$$

3. $$0.4$$

4. $$0$$

5. $$0.06$$

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