Question

Holland added three decimals that made a sum of 2. One of the decimals was 0.34.
What are two other decimals
Holland could have used to make a sum of 2? Explain how you know.

Answer 1

To find the two other decimals that Holland could have used to make a sum of 2, we need to subtract the given decimal, 0.34, from 2.

1. **Calculate the remaining sum:**
\[
2 - 0.34 = 1.66
\]
This means that the two other decimals must add up to 1.66.

2. **Possible combinations:**
There are many pairs of decimals that can sum up to 1.66. Here are some examples:

- **Example 1:** 0.83 and 0.83
\[
0.83 + 0.83 = 1.66
\]

- **Example 2:** 0.5 and 1.16
\[
0.5 + 1.16 = 1.66
\]

- **Example 3:** 0.75 and 0.91
\[
0.75 + 0.91 = 1.66
\]

- **Example 4:** 0.1 and 1.56
\[
0.1 + 1.56 = 1.66
\]

3. **Explain how we know:**
We calculated the necessary sum needed to reach 2 by subtracting the known decimal (0.34) from the total (2). After determining that the sum of the two other decimals must be 1.66, we provided several pairs of decimals that satisfy this condition. Since there are infinitely many pairs that can make 1.66, multiple correct answers exist.

In summary, Holland could have used any two decimals that add up to 1.66, such as 0.83 and 0.83, 0.5 and 1.16, 0.75 and 0.91, or many others.