Representing Mixed Numbers with Tenths on a Number Line
Grade 4 Eureka Math students represent mixed numbers with tenths on a number line by locating the whole number and then counting tenths to the right. Each gap between consecutive whole numbers is divided into 10 equal segments, each representing one-tenth. To plot 2.3, start at 2 and count 3 tenths to the right. For 14.7, find 14 and move 7 tenths forward. This visual representation connects decimal notation to physical position and builds decimal number sense.
Key Concepts
To plot a mixed number on a number line, first locate the whole number part. The interval between each whole number is partitioned into 10 equal segments, each representing one tenth ($\frac{1}{10}$ or $0.1$). From the whole number, count forward by the number of tenths to find the exact location.
Common Questions
How do you plot a mixed number with tenths on a number line?
Locate the whole number part on the number line. Then count the number of tenths shown in the decimal or fraction part, moving right that many segments.
How many segments are between consecutive whole numbers on a tenths number line?
Ten equal segments, each representing 0.1 (one-tenth).
How would you plot 14.7 on a number line?
Find 14 on the number line, then count 7 segments to the right to reach 14.7.
How does plotting tenths on a number line help with decimals?
It makes the size of each tenth visible and helps students understand that 1.3 is between 1 and 2, closer to 1.
What is the connection between 2 3/10 and 2.3 on a number line?
They are the same point. The mixed number 2 3/10 and the decimal 2.3 both represent 2 wholes and 3 tenths.