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

Answer 1

To find the two decimals that Holland could have added to 0.34 to make a total sum of 2, we can set up the equation:

\[ 0.34 + x + y = 2 \]

Where \( x \) and \( y \) are the two unknown decimals.

First, we can isolate \( x + y \):

\[ x + y = 2 - 0.34 \] \[ x + y = 1.66 \]

Now, we need to find pairs of decimals (x and y) that add up to 1.66. There are many possible combinations. Here are a few examples:

1. Example 1:

   • Let \( x = 1.00 \) and \( y = 0.66 \)
   • Both decimals together give \( 1.00 + 0.66 = 1.66 \)

2. Example 2:

   • Let \( x = 0.80 \) and \( y = 0.86 \)
   • Both decimals together give \( 0.80 + 0.86 = 1.66 \)

3. Example 3:

   • Let \( x = 0.50 \) and \( y = 1.16 \)
   • Both decimals together give \( 0.50 + 1.16 = 1.66 \)

These are just a few examples, and there are countless combinations of decimals that can add up to 1.66. The key takeaway is that any pair of decimals that add up to 1.66 will work.