Question

Choose the best answer for the missing number.

44.297 = 4 × 10 + 4 × 1 + 2 × (10/1) + 9 × ____ + 7 × (1/1000)

Answer 1

To find the missing number in the expression:

\[ 44.297 = 4 \times 10 + 4 \times 1 + 2 \times \left( \frac{10}{1} \right) + 9 \times \_\_ + 7 \times \left( \frac{1}{1000} \right) \]

Let's break it down step by step.

1. Calculate each part:
- \( 4 \times 10 = 40 \)
- \( 4 \times 1 = 4 \)
- \( 2 \times \left( \frac{10}{1} \right) = 20 \)
- \( 7 \times \left( \frac{1}{1000} \right) = 0.007 \)

2. Now sum these calculated parts except for the \( 9 \times \_\_ \):
\[
40 + 4 + 20 + 0.007 = 64.007
\]

3. Now we equate it to the original number:
\[
64.007 + 9 \times \_ = 44.297
\]

4. Rearranging gives us:
\[
9 \times \_ = 44.297 - 64.007
\]
\[
9 \times \_ = -19.71
\]

5. Now divide by 9:
\[
\_ = \frac{-19.71}{9} \approx -2.187
\]

Thus, the missing number in the expression is **-2.187**.