What Is the Place Value of 3 in 654.213?

TL;DR

The place value of 3 in the number 654.213 is thousandths, meaning it represents three one-thousandths. Understanding place value is crucial for interpreting the significance of each digit in a decimal number, as each position corresponds to a power of 10.

Transcript

What is the place value of 3 in 654.213? So let's think about that a little bit. And to do that, let me rewrite the number, and I'll write each digit in a different color. So we have 654 point-- we get the decimal point-- 213. Now we're pretty familiar, I think, with what goes on to the left of the decimal point. We know that this right here-- let ... Read More

Key Insights

• 🥇 Place value determines the significance and worth of each digit in a number.
• ✊ The position of a digit in a number can be denoted as 10 raised to a certain power.
• 😒 Decimal numbers use the decimal point to separate the whole part from the fractional part.
• 👉 The place value system extends to the right of the decimal point, representing numbers less than one.

Questions & Answers

Q: What is place value?

Place value refers to the value or worth of a digit based on its position in a number. It helps determine the magnitude of each digit relative to powers of 10.

Q: What is the place value of 3 in 654.213?

The place value of 3 in 654.213 is thousandths. It represents three one-thousandths, as it is three positions to the right of the decimal point.

Q: How do we determine place value in decimal numbers?

In decimal numbers, each position to the left or right of the decimal point represents a specific place value. Moving to the left, each place value is multiplied by 10, and moving to the right, each place value is divided by 10.

Q: Why is understanding place value important?

Understanding place value is crucial for interpreting and working with numbers effectively. It allows us to comprehend the relative worth of each digit and perform operations accurately in both whole numbers and decimals.

Summary & Key Takeaways

• Place value refers to the position of a digit in a number and determines its relative worth in terms of powers of 10.

• In the number 654.213, the digit 3 is in the thousandths place, which means it represents three one-thousandths.

• Understanding place value is essential for comprehending the magnitude and significance of each digit in a decimal number.