[tex]\boxed{ \ 100 \ is \ \frac{1}{10} \ of \ 1,000 \ }[/tex]
Further explanation
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:
- Adding
- Subtracting
- Multiplying, and/or
- Dividing both sides of the equation with a similar number
And the commutative property of multiplication, i.e., [tex]\boxed{ \ a \times b = b \times a \ }[/tex]
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
Keywords: 100 is 1/10 of, solve, 1,000, variable, 2/7m - 1/7 = 3/14, algebraic properties of equality, one, linear equation, isolated, manipulate, operations, add, subtract, multiply, divide, fraction, equate, denominator, numerator, both sides, equal, the opposite, both sides are multiplied by, turn, calculation
