Plotting decimal numbers on a number line (examples) | Khan Academy

TL;DR

Learn how to identify decimals on a number line by understanding the division of intervals and the concept of fractions.

Transcript

• [Voiceover] We're asked to move the orange dot to 5.90 on the number line, or you could view this as 5 90/100, or 5 9/10. All right, so let's see, this is 5.8, and then this is 6.0. One way to think about it is 5.9 is exactly halfway between 5.8 and 6.0, and this is written as 5.90, but we could view this as 5.9, so it's going to be exactly halfw... Read More

Key Insights

• 🫥 Identifying decimals on a number line requires an understanding of interval division and fractional notation.
• 💋 The tick marks on a number line represent units of measurement and can be used to determine the position of decimals.
• #️⃣ Decimals that are halfway between two whole numbers can be found by dividing the interval between the numbers by 2.

Questions & Answers

Q: How do you identify decimals on a number line?

To identify decimals on a number line, locate the whole numbers on either side of the decimal and divide the interval into equal parts, representing fractions or decimals.

Q: What do the tick marks on the number line represent?

The tick marks on the number line represent units of measurement or intervals. In this case, each mark represents 1/10, and the smaller marks within it represent 1/100.

Q: How do you find a decimal that is halfway between two whole numbers on a number line?

To find a decimal that is halfway between two whole numbers on a number line, divide the interval between the whole numbers by 2. The resulting fraction or decimal is the halfway point.

Q: Can decimals be represented as fractions on a number line?

Yes, decimals can be represented as fractions on a number line. Each decimal can be written as a fraction with a denominator that corresponds to the intervals on the number line.

Summary & Key Takeaways

• The orange dot on the number line needs to be moved to 5.90, which is halfway between 5.8 and 6.0.

• Each tick mark on the number line represents 1/10, and the smaller marks within it represent 1/100.

• By understanding the division of intervals, you can accurately place decimals on the number line.