Question

decide whether each statement is true or false.
statement
if $p$ is a single-digit number, then $p \times 10^{3}$ is always less than $10^{4}$.
if $n$ is an integer, then $5 \times 10^{n}$ is always greater than 1.
true/false
true
?
true
false

Explanation:

Step1: Test negative integer for $n$

Let $n=-1$, then $5\times10^{-1}=\frac{5}{10}=0.5$

Step2: Compare result to 1

$0.5 < 1$, so the statement fails.

Answer:

False