Find the decimal represented by each letter on the number line.
Understand the Problem
The question is asking to identify the decimal values represented by the letters A and B on a number line that is marked with decimal values from 1.2 to 1.4.
Answer
A is $1.25$, B is $1.35$.
Answer for screen readers
- The decimal represented by A is $1.25$.
- The decimal represented by B is $1.35$.
Steps to Solve
- Identify the segments on the number line
The number line is marked from 1.2 to 1.4, which means we need to divide this range into equal segments.
- Determine the increments
The difference between 1.2 and 1.4 is 0.2. If we divide this into two equal parts, each segment is: $$ \frac{0.2}{2} = 0.1 $$
This gives us increments of 0.1.
- Label the positions of A and B
- A is positioned at 1.2 + 0.1 = 1.3
- B is positioned at 1.3 + 0.1 = 1.4
However, we need to find 1.3 for A, while B will represent a greater value.
- Verify the placement
A is at the mid-point between 1.2 and 1.3, while B is at the mid-point between 1.3 and 1.4:
- A = 1.25 (between 1.2 and 1.3)
- B = 1.35 (between 1.3 and 1.4)
- The decimal represented by A is $1.25$.
- The decimal represented by B is $1.35$.
More Information
In a number line with decimal values, we can find the positions of letters by determining the equal segments between marked values. This method is useful for estimating any decimal placements on a number line.
Tips
- Not dividing the total range into equal segments (common with recognizing decimals).
- Misplacing A and B by not considering their relative positions accurately.
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