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

0.1×?=1 0.1\times?=1

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Step-by-step video solution

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00:00 Solve
00:03 Divide by the factor to find the unknown
00:08 Move the point, determine the number of zeros based on the number of shifts
00:15 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

0.1×?=1 0.1\times?=1

2

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 .

3

Final Answer

10 10

Practice Quiz

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\( \text{0}.07\times10= \)

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