\(\boxed{ \ 100 \ is \ \frac{1}{10} \ of \ 1,000 \ }\)
Further explanation
The question can be rewritten to \(\boxed{ \ 100 \ is \ \frac{1}{10} \ of \ M \ }\)
This case about equations with one variable. We have to solve this calculation to obtain the value of M. Our task is to isolate the variable M alone at the end of the process on one side of the equation until the variable will be equal to a value on the opposing side.
Let's arrange it into an equation, i.e., \(\boxed{ \ 100 \ = \ \frac{1}{10} \times \ M \ }\)
Turn this equation over so that the position of variable M is on the left side.
\(\boxed{ \ M \times \frac{1}{10} = 100 \ }\)
Both sides are multiplied by 10 to isolate M on the left side. The fraction are eliminated.
\(\boxed{ \ M \times \frac{1}{10} \times 10 = 100 \times 10 \ }\)
M = 1,000
Therefore, we have calculated the number that was asked.
Hence \(\boxed{ \ 100 \ is \ \frac{1}{10} \ of \ 1,000 \ }\)
Note:
The significant thing to carry out is how to manipulate both sides of the equation with the algebraic properties of equality such as:
- Adding
- Subtracting
- Multiplying, and/or
- Dividing both sides of the equation with a similar number
And the commutative property of multiplication, i.e., \(\boxed{ \ a \times b = b \times a \ }\)
Learn more
- The similar case https://brainly.com/question/106300
- The similar case https://brainly.com/question/96882
- Calculating mass based on density and volume brainly.com/question/4053884
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