Question

do you understand?

1. jesse has a bottle that contains \\(\frac{7}{10}\\) liter of water. he drinks \\(\frac{2}{10}\\) liter. jesse says he has \\(\frac{1}{2}\\) liter left. is he correct? explain.
2. what addition sentence can you use to subtract \\(\frac{4}{10}\\) from \\(\frac{9}{10}\\)?

Explanation:

Problem 1

Step 1: Calculate remaining water

To find the remaining water, subtract the amount drunk from the initial amount. The initial amount is $\frac{7}{10}$ liter and the amount drunk is $\frac{2}{10}$ liter. So we calculate $\frac{7}{10}-\frac{2}{10}$.
$\frac{7}{10}-\frac{2}{10}=\frac{7 - 2}{10}=\frac{5}{10}$

Step 2: Simplify the result

Simplify $\frac{5}{10}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 5.
$\frac{5\div5}{10\div5}=\frac{1}{2}$

We know that subtraction and addition are related by the equation: $a - b = c$ is equivalent to $b + c = a$. Here, $a=\frac{9}{10}$, $b = \frac{4}{10}$, and we want to find $c$ such that $\frac{9}{10}-\frac{4}{10}=c$. So the addition sentence would be $\frac{4}{10}+c=\frac{9}{10}$, where $c=\frac{9}{10}-\frac{4}{10}=\frac{5}{10}$. So the addition sentence is $\frac{4}{10}+\frac{5}{10}=\frac{9}{10}$.

Answer:

Yes, Jesse is correct. After subtracting the amount he drank ($\frac{2}{10}$ liter) from the initial amount ($\frac{7}{10}$ liter), we get $\frac{5}{10}$ liter, which simplifies to $\frac{1}{2}$ liter.

Problem 2