Mathematics
Grade 6
15 min
Put decimal numbers in order (Use workbook for practice)
Put decimal numbers in order (Use workbook for practice)
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1
Introduction & Learning Objectives
Learning Objectives
Identify the place value of digits in decimal numbers up to the thousandths place.
Compare two or more decimal numbers using appropriate strategies.
Use placeholder zeros to facilitate the comparison of decimal numbers with different lengths.
Order a set of decimal numbers from least to greatest (ascending order).
Order a set of decimal numbers from greatest to least (descending order).
Apply decimal ordering skills to solve real-world problems.
Ever wondered who won a race by a tiny fraction of a second? ⏱️ Or how stores arrange prices from cheapest to most expensive? 💰
In this lesson, you'll learn how to compare and put decimal numbers in order, which is a crucial skill for understanding measurements, money, and data. We'll explore strategie...
2
Key Concepts & Vocabulary
TermDefinitionExample
Decimal NumberA number that includes a whole number part and a fractional part, separated by a decimal point.3.14 (where 3 is the whole number part and .14 is the fractional part)
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 (0.2), and the '5' is in the hundredths place (0.05).
Tenths PlaceThe first digit to the right of the decimal point, representing fractions of 10.In 0.7, the '7' is in the tenths place, meaning 7/10.
Hundredths PlaceThe second digit to the right of the decimal point, representing fractions of 100.In 0.03, the '3' is in the hundredths place, meaning 3/100.
Thousandths Pl...
3
Core Formulas
Rule for Comparing Decimals Digit by Digit
To compare two decimal numbers, start by comparing the whole number parts. If they are the same, move to the tenths place, then the hundredths place, and so on, comparing digits in the same place value from left to right until one digit is greater than the other.
This rule helps determine which decimal is larger or smaller by systematically checking each place value, starting with the largest value (leftmost) and moving to smaller values (rightmost).
Rule for Using Placeholder Zeros
When comparing or ordering decimal numbers with different numbers of decimal places, add placeholder zeros to the end of the shorter decimals until all numbers have the same number of decimal places.
Adding placeholder zeros makes it easier to compare di...
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Challenging
Three of the following lists are in correct ascending order. Which list is NOT in correct ascending order?
A.3.008, 3.08, 3.8
B.0.9, 0.91, 0.911
C.5.4, 5.404, 5.44
D.7.1, 7.02, 7.12
Challenging
In a science competition, four students' final scores were: Maria 95.5, Sam 95.45, Chen 95.504, and Eva 95.455. After ordering the scores from greatest to least, what is the difference between the highest and second-highest scores?
A.0.05
B.0.054
C.0.004
D.0.1
Challenging
Using the digits 4, 9, 2, and 0, what is the smallest possible number greater than 1 that can be made with a decimal point and three decimal places? (e.g., 4.920)
A.0.249
B.2.049
C.9.420
D.0.942
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