Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Feb 12, 2024

Find the value of $c$ given the equation $-0.1 = -10c$ .

STEP 1

Assumptions
1. We have the equation $-0.1 = -10c$ .
2. We need to solve for the variable $c$ .

STEP 2

To solve for $c$ , we need to isolate the variable on one side of the equation. We can do this by dividing both sides of the equation by the coefficient of $c$ .
$c = \frac{-0.1}{-10}$

STEP 3

Now, perform the division to find the value of $c$ .
$c = \frac{-0.1}{-10}$

STEP 4

A negative divided by a negative is a positive, so we can simplify the signs.
$c = \frac{0.1}{10}$

STEP 5

Now, divide the numbers to find the value of $c$ .
$c = \frac{0.1}{10} = 0.01$
The solution to the equation $-0.1 = -10c$ is $c = 0.01$ .

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