Question

madison says that 579.8 x 0.001 is the same as 579.8 divide by 10/3. Is she correct? explain your answer.

Answer 1

To determine if Madison is correct, we need to compare the two expressions: \( 579.8 \times 0.001 \) and \( 579.8 \div \frac{10}{3} \).

1. **Calculate \( 579.8 \times 0.001 \)**:
\[
579.8 \times 0.001 = 0.5798
\]

2. **Calculate \( 579.8 \div \frac{10}{3} \)**:
Dividing by a fraction is the same as multiplying by its reciprocal:
\[
579.8 \div \frac{10}{3} = 579.8 \times \frac{3}{10}
\]
Now, we can perform the multiplication:
\[
579.8 \times \frac{3}{10} = 579.8 \times 0.3 = 173.94
\]

Now we compare the results:
- \( 579.8 \times 0.001 = 0.5798 \)
- \( 579.8 \div \frac{10}{3} = 173.94 \)

Since \( 0.5798 \) is not equal to \( 173.94 \), Madison is **not correct**.