What is the value of 3 in 0.3495?

When analyzing the number 0.3495, we need to determine the value of each digit in its decimal representation. In this case, the digit 3 holds a specific value within the number.

What is the value of 3 in 0.3495?

The value of the digit 3 in the number 0.3495 is 0.003. It represents three thousandths in the overall decimal value.

To understand this further, let’s break down the decimal number 0.3495:

– The digit 3 is located in the hundredths place.
– Each place value to the right of the decimal point represents a power of ten. Moving from left to right, the places have the values of tenths, hundredths, thousandths, and so on.
– Therefore, the digit 3 in 0.3495 can be expressed as 3/1000 or 3 * (10^-3), which equals 0.003.

In summary, the value of 3 in 0.3495 is 0.003, representing three thousandths.

Related FAQs:

1. How can I identify the value of a digit in a decimal number?

To determine the value of a digit in a decimal number, analyze its position relative to the decimal point. Each place value to the right of the decimal point represents a power of ten, starting from tenths, hundredths, thousandths, and so on.

2. What is the place value system?

The place value system is a way of representing numbers by grouping them into digits based on their position relative to a reference point like the decimal point. Each digit holds a specific value based on its position in the number.

3. How can I determine the place value of a digit in a decimal number?

Count the number of digits to the right of the decimal point, starting from 1 for the rightmost digit. The place value increases by a power of ten for each position to the right.

4. What is the value of zero in decimal numbers?

Zero holds a placeholder value in decimal numbers and does not contribute to the overall value if it appears at the beginning or end. However, zero does affect the value when it appears between non-zero digits.

5. How does the value of a digit change as it moves to the left in a decimal number?

As a digit moves to the left in a decimal number, its value increases by a power of ten. For example, moving from the tenths place to the units place increases the value of a digit by ten times.

6. Can a digit in a decimal number have a negative value?

No, a digit in a decimal number cannot have a negative value since the place value system uses positive powers of ten. Negative values are indicated by the placement of a negative sign before the entire number.

7. Is there a limit to the number of decimal places in a decimal number?

No, there is no specific limit to the number of decimal places in a decimal number. They can extend infinitely, depending on the calculation or measurement precision required.

8. How can I convert a decimal number to a fraction?

To convert a decimal number to a fraction, the decimal part can be written over a power of ten. Simplify the fraction further, if possible.

9. Can a decimal number be written as a whole number?

Yes, a decimal number can be written as a whole number if it has no fractional part. In this case, the decimal part would be equal to zero.

10. Are there other number systems apart from the decimal system?

Yes, apart from the decimal system, there are other number systems such as binary (base-2), octal (base-8), and hexadecimal (base-16), which are commonly used in computer science and mathematics.

11. How do decimals compare to fractions?

Decimals and fractions are two ways of representing numbers that are not whole. Decimals use a base-ten system, while fractions represent a part of a whole using numerators and denominators.

12. Can decimal numbers be negative?

Yes, decimal numbers can be negative. A negative sign placed before the decimal number indicates a negative value.

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