What is the value of x in 0.007/x = 0.01?

Concept: For an equation of the form a/x = b (a, b constants, x ≠ 0), multiplying both sides by x and then dividing by b isolates the variable directly: x = a/b.

Working:

1. Start with the given equation: 0.007/x = 0.01.

2. Multiply both sides by x: 0.007 = 0.01x.

3. Divide both sides by 0.01 to isolate x: x = 0.007/0.01.

4. Simplify the division: x = 0.7.

Cross-check: Substituting x = 0.7 back into the original equation gives 0.007/0.7 = 0.01, which matches the right-hand side, confirming the value.

Hence, x = 0.7.