To find the value that correctly fills in the blank in the expression \( 42 + 70 = ___ (6 + 10) \), let's first calculate the left side of the equation and the expression in parentheses on the right side.
First, calculate \( 42 + 70 \): \[ 42 + 70 = 112 \]
Next, calculate \( 6 + 10 \): \[ 6 + 10 = 16 \]
Now we need to set up the equation: \[ 112 = ___ \cdot 16 \]
To find the blank, we can divide both sides of the equation by 16: \[ ___ = \frac{112}{16} \]
Now perform the division: \[ \frac{112}{16} = 7 \]
Thus, the value that correctly fills in the blank is: \[ \boxed{7} \]