To solve the problem given, let's find the value of the unknown part in the equation [tex]\( \ldots \div 0.002 = 2100 \)[/tex].
We can denote the unknown part of the equation as [tex]\( x \)[/tex]. Therefore, the equation becomes:
[tex]\[ \frac{x}{0.002} = 2100 \][/tex]
To find [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. We can do this by multiplying both sides of the equation by 0.002:
[tex]\[ x = 2100 \times 0.002 \][/tex]
Now, we calculate the right-hand side:
[tex]\[ x = 4.2 \][/tex]
Therefore, the value of the unknown part is [tex]\( 4.2 \)[/tex].
So, the final detailed step-by-step solution is:
1. Define the unknown part of the equation as [tex]\( x \)[/tex].
2. Set up the equation: [tex]\(\frac{x}{0.002} = 2100\)[/tex].
3. Multiply both sides by 0.002 to isolate [tex]\( x \)[/tex]: [tex]\( x = 2100 \times 0.002 \)[/tex].
4. Calculate the value: [tex]\( x = 4.2 \)[/tex].
Thus, [tex]\( 4.2 \div 0.002 = 2100 \)[/tex].
