Mathematics
Grade 5
15 min
Compare decimals on number lines
Compare decimals on number lines
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify the value of digits in decimal numbers up to the hundredths place.
Locate decimal numbers on a number line.
Use a number line to visually compare two or more decimal numbers.
Determine if one decimal is greater than, less than, or equal to another decimal.
Use the symbols >, <, and = to correctly compare decimals.
Order a set of decimals from least to greatest or greatest to least using a number line.
Have you ever wondered which runner finished faster, 10.5 seconds or 10.25 seconds? 🏃♀️💨
In this lesson, you'll learn how to compare decimals by placing them on a number line. This skill helps you understand the relative size of decimals, which is super useful in everyday life!
Real-World Applications
Comparing race times in sport...
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Key Concepts & Vocabulary
TermDefinitionExample
DecimalA number that uses a decimal point to show parts of a whole, like 0.5 or 3.25.In the number 0.75, the '7' represents seven tenths, and the '5' represents five hundredths.
Number LineA straight line with numbers placed at equal intervals, used to visualize and compare numbers.A line segment from 0 to 1, with marks at 0.1, 0.2, 0.3, etc., is a number line for tenths.
Place ValueThe value of a digit based on its position in a number (e.g., in 0.25, the '2' is in the tenths place, and the '5' is in the hundredths place).In 0.48, the digit 4 has a place value of tenths (0.4), and the digit 8 has a place value of hundredths (0.08).
TenthsThe first digit after the decimal point, representing parts of ten.In 0.6, the '6...
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Core Formulas
Number Line Comparison Rule
On a number line, numbers located further to the right are greater in value, and numbers located further to the left are smaller in value.
To compare two decimals, locate both points on the same number line. The decimal that appears to the right is the larger one, and the decimal that appears to the left is the smaller one. For example, if $A$ is to the right of $B$ on a number line, then $A > B$.
Decimal Place Value Alignment Rule
When comparing decimals, it's helpful to align their decimal points and compare digits from left to right, starting with the largest place value. If the number of decimal places is different, you can add zeros to the end of the shorter decimal to make them have the same number of decimal places without changing it...
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Challenging
Four runners' times were 9.85s, 9.9s, 9.81s, and 10.0s. If these times were plotted on a number line, which time would be in the middle of the other three?
A.9.9s
B.9.85s
C.9.81s
D.10.0s
Challenging
Point X is at 0.45. Point Y is to the right of Point X. Point Z is to the left of Point X. Which of the following could be the values for Y and Z?
A.Y = 0.5, Z = 0.4
B.Y = 0.4, Z = 0.5
C.Y = 0.46, Z = 0.47
D.Y = 0.44, Z = 0.43
Challenging
A number has a 6 in the hundredths place. It is greater than 0.7 but less than 0.8. What could the number be?
A.0.67
B.0.86
C.0.76
D.0.06
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