Multiplication and Division of Signed Mumbers: Using order of arithmetic operations

$-400:(-7-13+10)=$

First, let's solve the expression in parentheses from left to right:

$-7-13=-20$

$-20+10=-10$

Now the expression we have is:

$-400:-10=$

Let's note that we are dividing two negative numbers, so the result must be a positive number:

$\frac{-}{-}=+$

Therefore:

$\frac{400}{10}=40$

$+40$

$-3.5:-7+14=$

Let's solve the exercise from left to right.

We'll write the division problem as a simple fraction in the following way:

$\frac{-3.5}{-7}+14=$

Let's note that we are dividing a negative number by a negative number, so the result will necessarily be a positive number:

$\frac{-}{-}=+$

We'll break down 7 into a multiplication problem:

$\frac{3.5}{3.5\times2}+14=$

We'll reduce the 3.5 in both the numerator and denominator of the fraction and get:

$\frac{1}{2}+14=14\frac{1}{2}$

$+14\frac{1}{2}$

$-(-7+4):(-9)=$

$-\frac{1}{3}$

$-12:-6\cdot(-8+4)=$

$-8$

$-7:-49:+14:(-3+2)=$

$-\frac{1}{98}$