Do You Understand? 1. QEssential Question How can you plot, compare, and order rational numbers using a number line?
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Mind Expander
Plotting rational numbers on a number line is as easy as pie! First, you can identify your rational numbers, which can be positive, negative, or even zero. Divide the number line into equal segments that represent fractions like 1/2, 1/4, and so on. When you have several rational numbers, you’ll line them up according to their values—it's like a race where the smallest number advances first! When comparing rational numbers, especially fractions, finding a common denominator makes it simple. Just convert the fractions to have the same bottom number, and then you can easily see which fraction is larger or smaller. Be careful, as it's a common mistake to think that the larger numerator always means a greater value; the denominator plays a vital role in determining the true size of the fraction!
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