Question

related questions: lesson 1: exponents and roots

select the symbol (=, <, or >) that makes the statement true.

q. 150 > 1.5 \times 10^{-2}

Explanation:

Identify the given values

We compare the two values:
Left side: \(150\)
Right side: \(1.5 \times 10^{-2}\)

Simplify the right side

Using the Negative Exponents and Exponent Rules knowledge points

$$ 1.5 \times 10^{-2} = 1.5 \times \frac{1}{10^2} = \frac{1.5}{100} = 0.015 $$

Compare the values

We compare the simplified values:

$$ 150 > 0.015 $$

Thus, the symbol that makes the statement true is \(>\).

Answer:

Select the symbol (\(=, <,\) or \(>\)) that makes the statement true.

Q. 150 <blank>\(>\)</blank> \(1.5 \times 10^{-2}\)