Question

Add −1 3/10 + 2/5 using the number line.

Answer 1

Start at - 1 3/10 then subtract 2/5 and you would get your answer your answer should be a negative

Answer 2

Answer:

$\dfrac{-9}{10}$

Step-by-step explanation:

The given expression is

$-1\dfrac{3}{10}+\dfrac{2}{5}$

Simplify the mixed fraction.

$-\dfrac{1(10)+3}{10}+\dfrac{2}{5}$

$-\dfrac{13}{10}+\dfrac{2}{5}$

Taking LCM, we get,

$\dfrac{-13+2(2)}{10}$

$\dfrac{-9}{10}$

In the given number line each unit = 1/5.

Location of each number is shown in the below number line.

The number $-1\dfrac{3}{10}$ is midpoint of $-1\dfrac{2}{10}$ and $-1\dfrac{4}{10}$. It means the number $-1\dfrac{3}{10}$ lies at the mid of $-1\dfrac{1}{5}$ and $-1\dfrac{2}{5}$.

In the below number line red dots represent the given numbers and green dot represents the answer.

Therefore, the simplified form of given expression is $\dfrac{-9}{10}$.