Find the order

Learning Objectives Correctly use the symbols <, >, and = to compare decimals and fractions. Order a set of three to five decimals from least to greatest. Order a set of three to five fractions and mixed numbers from greatest to least. Convert fractions to decimals to accurately find the order of a mixed set of numbers. Explain the process of comparing numbers by referencing place value for decimals and common denominators for fractions. Solve word problems that require ordering numbers. Imagine you and your friends are in a video game tournament! 🎮 How would you figure out who is in first, second, and third place based on your scores? In this lesson, you'll become a 'Math Detective' and learn how to 'find the order' of different numbers, inc...

TermDefinitionExample Ascending OrderArranging numbers from the smallest value to the largest value.The numbers 0.5, 1.2, 3.8 are in ascending order. Descending OrderArranging numbers from the largest value to the smallest value.The numbers 5, 2, 0.9 are in descending order. Place ValueThe value of a digit based on its position in a number. For decimals, the places to the right of the decimal point are tenths, hundredths, thousandths, etc.In the number 14.75, the '7' is in the tenths place and has a value of 0.7, while the '5' is in the hundredths place and has a value of 0.05. Common DenominatorA shared multiple of the denominators of two or more fractions. Finding a common denominator is necessary to compare or order fractions.To compare 1/2 and 2/3, you can use a co...

The Decimal Comparison Rule Line up the decimal points. Compare digits in the same place value, starting from the left. Use this rule to find the order of decimal numbers. If digits in a place are equal, move to the next place to the right. You can add placeholder zeros to the end of a decimal without changing its value (e.g., 0.8 is the same as 0.80). The Fraction Comparison Rule If denominators are different, find a common denominator. Then, compare the numerators. Use this rule to find the order of fractions. Once the fractions have the same denominator, the fraction with the larger numerator is the larger fraction. Inequality Symbols < (less than), > (greater than), = (equal to) Use these symbols to show the relationship between two numbers. Remember, the &...