Decimals in number lines- hundredths worksheet - Free Printable

Let's solve each of the number line problems step by step. The goal is to identify the decimal value at the point marked by the box on each number line.

🔍 Step-by-step strategy:

1. Look at the first and last numbers on the number line.
2. Count the number of intervals (spaces) between them.
3. Calculate the value of each interval (difference ÷ number of intervals).
4. Find the position of the box and calculate the decimal.

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✔ Problem 1:

Number line from 2.0 to 2.1

- Difference: $ 2.1 - 2.0 = 0.1 $
- Number of intervals: 10 (since it's divided into 10 equal parts)
- Each interval = $ \frac{0.1}{10} = 0.01 $

The box is at the 6th tick mark after 2.0.

So, $ 2.0 + (6 \times 0.01) = 2.0 + 0.06 = \boxed{2.06} $

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✔ Problem 2:

From 7.5 to 7.6

- Difference: $ 7.6 - 7.5 = 0.1 $
- Intervals: 10 → each = $ 0.01 $
- Box is at the 3rd tick after 7.5

$ 7.5 + (3 \times 0.01) = 7.5 + 0.03 = \boxed{7.53} $

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✔ Problem 3:

From 9.3 to 9.4

- Difference: $ 9.4 - 9.3 = 0.1 $
- Intervals: 10 → each = $ 0.01 $
- Box is at the 7th tick after 9.3

$ 9.3 + (7 \times 0.01) = 9.3 + 0.07 = \boxed{9.37} $

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✔ Problem 4:

From 5.5 to 5.6

- Difference: $ 0.1 $
- Intervals: 10 → each = $ 0.01 $
- Box is at the 4th tick after 5.5

$ 5.5 + (4 \times 0.01) = 5.5 + 0.04 = \boxed{5.54} $

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✔ Problem 5:

From 3.7 to 3.8

- Difference: $ 0.1 $
- Intervals: 10 → each = $ 0.01 $
- Box is at the 5th tick after 3.7

$ 3.7 + (5 \times 0.01) = 3.7 + 0.05 = \boxed{3.75} $

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✔ Problem 6:

From 8.9 to 9.0

- Difference: $ 9.0 - 8.9 = 0.1 $
- Intervals: 10 → each = $ 0.01 $
- Box is at the 9th tick after 8.9

$ 8.9 + (9 \times 0.01) = 8.9 + 0.09 = \boxed{8.99} $

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✔ Final Answers:

| Problem | Decimal |
|--------|---------|
| 1 | 2.06 |
| 2 | 7.53 |
| 3 | 9.37 |
| 4 | 5.54 |
| 5 | 3.75 |
| 6 | 8.99 |

✔ All decimals are in hundredths, as expected.

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