Compare decimal numbers

Learning Objectives Identify the whole number and decimal parts of a decimal number. Compare decimal numbers by examining their whole number parts. Compare decimal numbers by examining their decimal parts, digit by digit, starting from the tenths place. Use inequality symbols (<, >, =) to express the relationship between two decimal numbers. Order a set of decimal numbers from least to greatest or greatest to least. Explain the importance of place value when comparing decimals. Have you ever wondered which item is cheaper at the store, $3.75 or $3.50? 💰 Let's find out how to compare numbers with cents! In this lesson, you'll learn how to compare decimal numbers accurately. This skill is super important for everyday tasks like shopping, measuring, and unders...

TermDefinitionExample Decimal NumberA number that includes a whole number part and a fractional part, separated by a decimal point.3.14 is a decimal number, where 3 is the whole number part and 14 is the decimal part. Decimal PointThe dot that separates the whole number part from the fractional part in a decimal number.In the number 5.2, the dot between 5 and 2 is the decimal point. Place ValueThe value of a digit based on its position in a number. For decimals, positions to the right of the decimal point represent fractions.In 0.25, the '2' is in the tenths place (value 2/10), and the '5' is in the hundredths place (value 5/100). Whole Number PartThe digits to the left of the decimal point, representing a whole quantity.In 12.75, '12' is the whole number par...

Compare Whole Number Parts If $A$ and $B$ are decimal numbers, first compare their whole number parts (the digits to the left of the decimal point). If the whole number part of $A$ is greater than the whole number part of $B$, then $A > B$. If the whole number part of $A$ is less than the whole number part of $B$, then $A < B$. This is the first and most important step. Compare Decimal Parts Digit by Digit If the whole number parts are equal, compare the digits in the decimal parts from left to right, starting with the tenths place. The first place value where the digits differ determines the greater number. For example, if $A = X.d_1 d_2 d_3...$ and $B = X.e_1 e_2 e_3...$, and $d_1 = e_1$, then compare $d_2$ and $e_2$. If $d_2 > e_2$, then $A > B$. Use Trail...