Unit 4 lesson 1 estimating irrationals
To estimate irrational numbers in Unit 4 Lesson 1, you can follow these steps:
1. Understand the concept of irrational numbers: Irrational numbers are real numbers that cannot be expressed as a fraction or a ratio of two integers. They have decimal representations that neither terminate nor repeat.
2. Identify the irrational number you want to estimate: Determine which irrational number you want to estimate. Some common examples of irrational numbers include √2 (square root of 2), π (pi), and e (Euler's number).
3. Identify a rational number that is close to the irrational number: To estimate the irrational number, find a rational number that is slightly less or slightly greater than the irrational number you want to estimate. For example, if you want to estimate √2, you can use 1.4 as a lower estimate and 1.5 as an upper estimate.
4. Use a number line or visual representation: Draw a number line or a visual representation to help you estimate the irrational number. Mark the rational numbers you identified in step 3 on the number line.
5. Determine where the irrational number falls between the estimates: Compare the position of the irrational number on the number line to the estimates you made. This will give you a rough estimate of the irrational number.
For example, if you are estimating √2 using 1.4 and 1.5, you can see that √2 is closer to 1.4 than 1.5 on the number line. So, the estimate for √2 would be around 1.4.
Remember that estimating irrational numbers can only provide an approximation and may not give the exact value.