Try It Out!: Part 8 Solutions
- Create a number line, like the one in your lesson, and plot the following irrational numbers
−1.92857143609… and −1.68547930216…
Step 1:
Round each irrational number to a more usable rational number.
−1.92857143609 is rounded to −1.9
−1.68547930216 is rounded to −1.7
Now both irrational numbers are represented by decimals that have values in the tenths.
Step 2:
Create a number line with a range of −2 to −1, that is divided into tenths.
Step 3:
Plot the rounded forms of the irrational numbers on the number line to represent an estimated point for each value.
Explain: Part 8 Solutions
- In your own words, explain how to plot irrational numbers on a number line.
Note
Answers should include the use of rounding for plotting irrational numbers.
- Discuss that irrational numbers need to be rounded to a more usable number.
- Number lines are created using the same procedures used for rational numbers.
- Estimation is used to plot irrational numbers as close to their actual position as possible.