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[tex]\boxed{ \ 100 \ is \ \frac{1}{10} \ of \ 1,000 \ }[/tex]
The question can be rewritten to [tex]\boxed{ \ 100 \ is \ \frac{1}{10} \ of \ M \ }[/tex]
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., [tex]\boxed{ \ 100 \ = \ \frac{1}{10} \times \ M \ }[/tex]
Turn this equation over so that the position of variable M is on the left side.
[tex]\boxed{ \ M \times \frac{1}{10} = 100 \ }[/tex]
Both sides are multiplied by 10 to isolate M on the left side. The fraction are eliminated.
[tex]\boxed{ \ M \times \frac{1}{10} \times 10 = 100 \times 10 \ }[/tex]
M = 1,000
Therefore, we have calculated the number that was asked.
Hence [tex]\boxed{ \ 100 \ is \ \frac{1}{10} \ of \ 1,000 \ }[/tex]
Note:
The significant thing to carry out is how to manipulate both sides of the equation with the algebraic properties of equality such as:
And the commutative property of multiplication, i.e., [tex]\boxed{ \ a \times b = b \times a \ }[/tex]
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