Decimals on a Number Line - Maths with Mum - Free Printable

Problem Analysis:

The task involves identifying and writing the values on a number line for hundredths. Each part of the problem (a, b, c) provides a number line with marked intervals and arrows pointing to specific points. The goal is to determine the exact values at these points.

Solution:

#### Part (a):
- Number Line Range: The number line ranges from 0.5 to 0.6.
- Divisions: The interval between 0.5 and 0.6 is divided into 10 equal parts. Each part represents 0.01 (one hundredth).
- Arrows:
- The first arrow points to the second division after 0.5. This corresponds to 0.52.
- The second arrow points to the fifth division after 0.5. This corresponds to 0.55.

Thus, the values are:
- First box: 0.52
- Second box: 0.55

#### Part (b):
- Number Line Range: The number line ranges from 3.2 to 3.3.
- Divisions: The interval between 3.2 and 3.3 is divided into 10 equal parts. Each part represents 0.01 (one hundredth).
- Arrows:
- The first arrow points to the third division after 3.2. This corresponds to 3.23.
- The second arrow points to the seventh division after 3.2. This corresponds to 3.27.

Thus, the values are:
- First box: 3.23
- Second box: 3.27

#### Part (c):
- Number Line Range: The number line ranges from 10.8 to 10.9.
- Divisions: The interval between 10.8 and 10.9 is divided into 10 equal parts. Each part represents 0.01 (one hundredth).
- Arrows:
- The first arrow points to the fourth division after 10.8. This corresponds to 10.84.
- The second arrow points to the tenth division after 10.8 (which is the start of the next interval, 10.9). This corresponds to 10.90.

Thus, the values are:
- First box: 10.84
- Second box: 10.90

Final Answer:

\[
\boxed{
\text{a) 0.52, 0.55} \\
\text{b) 3.23, 3.27} \\
\text{c) 10.84, 10.90}
}
\]