Solve Division Problem: (+24) ÷ (-0.4) with Sign Rules

Question

Solve the following problem:

$(+24):(-0.4)=$

00:00 Solve

00:05 Positive divided by negative is always negative

00:16 Convert from decimal to fraction

00:23 Write division as multiplication by reciprocal

00:27 Switch between numerator and denominator

00:34 Make sure to multiply numerator by numerator and denominator by denominator

00:40 Divide 24 by 4

00:45 And this is the solution to the question

Given that we are dividing a positive number by a negative number, the result must be a negative number:

$+:-=-$

First, let's convert 0.4 to a simple fraction:

$0.4=\frac{4}{10}$

Now we have the problem:

$-(24:\frac{4}{10})=$

Let's convert the division to multiplication, remembering to switch the numerator and denominator:

$-(24\times\frac{10}{4})=$

We'll simplify by 4 as follows:

$-(6\times10)=-6\times10=-60$

$-60$