Solve the Equation: Finding the Number that Makes 0.1 × ? = 1

Question

0.1×?=1 0.1\times?=1

Video Solution

Step-by-Step Solution

To solve this problem, we need to find out what number, when multiplied by 0.10.1, equals 11. This means setting up the equation 0.1×x=10.1 \times x = 1.

To isolate xx, rearrange the equation:
x=10.1 x = \frac{1}{0.1}

Next, perform the division 1÷0.11 \div 0.1. Dividing by a decimal is equivalent to multiplying by its reciprocal, thus:
10.1=1×10=10 \frac{1}{0.1} = 1 \times 10 = 10

Therefore, the solution to the equation is x=10 x = 10 .

Answer

10 10