Question

Which sign makes the statement true?%0D%0A%0D%0A2.90 × 100 2.90 × 10–1

Answer 1

To determine which sign makes the statement true, we need to compare \(2.90 \times 100\) with \(2.90 \times 10^{-1}\).

1. Calculate \(2.90 \times 100\):
\[
2.90 \times 100 = 290
\]

2. Calculate \(2.90 \times 10^{-1}\):
\[
2.90 \times 10^{-1} = 2.90 \times 0.1 = 0.29
\]

Now we compare the two results:
- \(290\) (from \(2.90 \times 100\))
- \(0.29\) (from \(2.90 \times 10^{-1}\))

Clearly, \(290 > 0.29\).

Therefore, the correct inequality is:
\[
2.90 \times 100 > 2.90 \times 10^{-1}
\]

So the sign that makes the statement true is \(>\).