Put decimal numbers in order (Use workbook for practice)

Learning Objectives Compare two decimal numbers by analyzing their place values. Arrange a set of three or more decimal numbers in ascending or descending order. Correctly order negative decimal numbers on a number line. Compare and order the decimal outputs that result from evaluating rational expressions at specific points. Use decimal ordering to analyze the behavior of a rational function near a specific value. Convert fractions to decimals to facilitate comparison and ordering. Imagine you're analyzing a rocket's trajectory modeled by a rational function. 🚀 How do you determine if the rocket is higher at t=2.1 seconds or t=2.15 seconds? This tutorial focuses on the essential skill of ordering decimal numbers. While it seems basic, mastering this skill is cri...

TermDefinitionExample Rational NumberAny number that can be expressed as a fraction p/q, where p and q are integers and q is not zero. All terminating and repeating decimals are rational numbers.0.75 is a rational number because it can be written as 3/4. -2.5 is rational because it's -5/2. Rational ExpressionA fraction in which the numerator and the denominator are polynomials. Evaluating a rational expression for a given variable often results in a rational number (a decimal).The expression (x + 2) / (x - 3) is a rational expression. If x = 4, the value is (4+2)/(4-3) = 6. If x = 2.5, the value is (2.5+2)/(2.5-3) = 4.5/(-0.5) = -9. Place ValueThe value of a digit based on its position relative to the decimal point. Positions to the right of the decimal point represent fractions of 1...

Place Value Comparison Algorithm Given decimals A and B: 1. Compare whole number parts. 2. If equal, compare tenths digits. 3. If equal, compare hundredths digits, and so on, until a difference is found. This is the fundamental step-by-step method for comparing any two decimal numbers. It ensures you compare digits of equal significance. Zero Padding for Equal Length To compare A and B, append trailing zeros to the shorter decimal until it has the same number of decimal places as the longer one. Then compare as if they were whole numbers. This is a visual trick that makes comparison easier. For example, to compare 0.7 and 0.68, rewrite 0.7 as 0.70. Now it's easy to see that 70 is greater than 68, so 0.7 > 0.68. Negative Number Comparison For negative numbers -a...