Reading Fractions and Mixed Numbers from a Number Line
Reading fractions and mixed numbers from a number line is a Grade 4 skill in Saxon Math Intermediate 4 (Chapter 4). To find a mixed number, first identify the whole number (the last whole number the point passed), then count the total equal segments between consecutive whole numbers for the denominator, and count how many segments past the whole number to the point for the numerator. A common error is counting tick marks instead of spaces — always count spaces for the denominator.
Key Concepts
New Concept To name mixed numbers on a number line, we first count the number of segments between consecutive whole numbers.
What’s next Next, you’ll apply this to determine the value of points and place mixed numbers on various number lines.
Common Questions
How do you read a mixed number from a number line?
Step 1: Find the whole number (last whole number the point passed). Step 2: Count the total equal spaces between two whole numbers — this is the denominator. Step 3: Count spaces from the whole number to your point — this is the numerator.
A point is 5 spaces past 4 on a number line divided into 6 equal parts. What is the mixed number?
Whole number = 4. Denominator = 6 (total segments). Numerator = 5 (spaces from 4 to the point). Mixed number: 4 and 5/6.
What is the most common error when reading fractions on a number line?
Counting tick marks (the vertical lines) instead of spaces (the gaps between them). There are always one more tick mark than spaces. Always count gaps for the denominator.
How do you find the denominator from a number line?
Count the number of equal spaces (not tick marks) between two consecutive whole numbers. If there are 4 spaces between 2 and 3, the denominator is 4.
A point between 3 and 4 is on the 3rd mark out of 8 equal parts. What is the value?
Whole number = 3. Denominator = 8. Numerator = 3. Mixed number: 3 and 3/8.