Decimal Number Line (Tenths)
A decimal number line divided into tenths shows values between whole numbers, with each segment representing 0.1. In Grade 6 Saxon Math Course 1 (Chapter 5: Number and Operations), students place and read decimals on a number line where each unit interval is split into 10 equal parts. For example, 2.3 sits 3 segments right of 2, and 4.7 sits 7 segments right of 4. This model reinforces that tenths equal 1/10 of a whole, connects decimal and fraction notation (0.3 = 3/10), and helps students order and compare decimals like 0.6 versus 0.9. It also clarifies that 0.1 and 0.10 are identical positions.
Key Concepts
New Concept To divide a number by a fraction, find the fraction's reciprocal. Then, multiply the original number by that reciprocal to find the answer.
To solve a problem like $7 \div \frac{2}{3}$:.
Step 1: Find the number of $\frac{2}{3}$s in 1. $$1 \div \frac{2}{3} = \frac{3}{2}$$.
Common Questions
How are tenths shown on a decimal number line?
Each unit interval is divided into 10 equal parts. Each small tick represents 0.1 (one tenth). Between 1 and 2 there are 10 segments: 1.1, 1.2, 1.3, up to 2.0.
How do you plot 3.7 on a decimal number line?
Find 3, then count 7 small tick marks to the right. Each tick represents 0.1, so 7 ticks land at 3.7.
What fraction equals one tenth on the number line?
One tenth equals 1/10. Each small segment between whole numbers represents 1/10 of that unit.
How do you use a tenths number line to compare 0.4 and 0.8?
Plot both: 0.4 is 4 ticks from 0 and 0.8 is 8 ticks from 0. Since 0.8 is farther right, 0.8 > 0.4.
What is the difference between 0.1 and 0.10 on the number line?
They mark the same point. Trailing zeros do not change the value or position.