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find the missing number: if 3 × 4 = 12, then 30 × __ = 120. options: 4,…

Question

find the missing number: if 3 × 4 = 12, then 30 × __ = 120. options: 4, 7, 3, 5

Explanation:

Step1: Analyze the pattern

We know that \(3\times4 = 12\). Now we have \(30\times x=120\). Notice that \(30\) is \(3\times10\) and \(120\) is \(12\times10\).

Step2: Solve for \(x\)

Using the property of multiplication, if \(3\times4 = 12\), then \((3\times10)\times4=(12\times10)\), which simplifies to \(30\times4 = 120\). So the missing number is \(4\).

Answer:

A. 4