the 7 in the hundredth place is × the value of the 7 in the tens place.

Explanation:

Step1: Find the value of 7 in tens place

The number is (174.874). The 7 in the tens place has a value of (7\times10 = 70).

Step2: Find the value of 7 in hundredth place

The 7 in the hundredth place has a value of (7\times\frac{1}{100}=0.07).

Step3: Set up the equation

Let (x) be the multiplier. We have the equation (0.07=x\times70). Solving for (x), we get (x=\frac{0.07}{70}).

Step4: Calculate (x)

(x=\frac{0.07}{70}=\frac{7\times10^{- 2}}{7\times10^{1}}=\frac{1}{10^{3}} = 0.001)

Answer:

(0.001)