Which sign makes the statement true?

Question

–3(the square root sign)25 ? –1.5
< or >

Answer 1

To determine the correct sign (< or >) for the statement \(-3 \sqrt{25} ? -1.5\), we first need to calculate \(-3 \sqrt{25}\).

1. Calculate \(\sqrt{25}\): \[ \sqrt{25} = 5 \]

2. Now, multiply by \(-3\): \[ -3 \times 5 = -15 \]

Now we can compare \(-15\) and \(-1.5\): \[ -15 ? -1.5 \]

Since \(-15\) is less than \(-1.5\), we can say: \[ -15 < -1.5 \]

Therefore, the correct sign is: \[ < \]

So the complete statement is: \(-3 \sqrt{25} < -1.5\).