Put decimal numbers in order

Learning Objectives Identify the place value of digits in decimal numbers up to the hundredths place. Compare any two decimal numbers using place value strategies. Use the symbols <, >, and = correctly to show the relationship between decimal numbers. Order a set of three to five decimal numbers from least to greatest. Order a set of three to five decimal numbers from greatest to least. Explain their strategy for comparing and ordering decimal numbers. Apply decimal ordering skills to solve simple real-world problems. Ever wondered who won the race by just a tiny fraction of a second, like 9.8 seconds versus 9.85 seconds? 🏁 Decimals help us compare those super close finishes! In this lesson, you'll learn how to compare and put decimal numbers in order. This sk...

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 fractional 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 the '5' and the '2' is the decimal point. Place ValueThe value of a digit based on its position in a number, including positions to the right of the decimal point.In 0.25, the '2' is in the tenths place, and the '5' is in the hundredths place. Tenths PlaceThe first digit to the right of the decimal point, representing fractions of 10 (e.g., 0.1 means 1/10).In 0.7, the &#03...

Rule 1: Compare Whole Number Parts First When comparing two decimal numbers, first look at the digits in the whole number part (to the left of the decimal point). The number with the larger whole number part is the greater number. If the whole number parts are different, you don't need to look at the decimal part at all! For example, $3.5 > 2.99$ because $3 > 2$. Rule 2: Compare Decimal Parts (Place by Place) If the whole number parts are the same, compare the digits in each place value position from left to right, starting with the tenths place, then the hundredths place, and so on. The first digit that is different determines which number is greater. Imagine you have $0.75$ and $0.72$. Both have $0$ wholes and $7$ tenths. Move to the hundredths: $5 > 2$, so $...