Solve Division Problem: (-0.3) ÷ (-1) Step by Step

Q: Why does negative divided by negative equal positive?

Think of it like multiplication in reverse! Since negative × negative = positive, when we divide backwards, negative ÷ negative = positive too.

Q: What if I had (-0.3) ÷ (+1) instead?

Then you'd have negative ÷ positive = negative! The answer would be $ -0.3 $. Only when both numbers have the same sign do you get positive.

Q: How do I remember the division sign rules?

Use this simple pattern:Same signs (both + or both -) = positive resultDifferent signs (one +, one -) = negative result

Q: Is dividing by 1 always that simple?

Yes! Any number divided by 1 equals itself. So $ \frac{x}{1} = x $ for any number x. The sign rules still apply though!

Q: Can I check my answer by multiplying?

Absolutely! Division and multiplication are opposite operations. If 0.3 × (-1) = -0.3, then (-0.3) ÷ (-1) must equal 0.3.

Division with Negative Numbers

$(-0.3):(-1)=\text{ ?}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Negative divided by negative is always positive

00:15 Any number divided by 1 is always equal to itself

00:22 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$(-0.3):(-1)=\text{ ?}$

Step-by-step solution

Note that we are dividing two negative numbers, so the result must be a positive number.

Let's rewrite the exercise in the form of a simple fraction:

$\frac{0.3}{1}=$

Remember the rule:

$\frac{x}{1}=x$

Any number we divide by 1 will be equal to itself, therefore:

$\frac{0.3}{1}=0.3$

Final Answer

$+0.3$

Key Points to Remember

Essential concepts to master this topic

Rule: Negative divided by negative always gives positive result
Technique: Remove signs first: (-0.3) ÷ (-1) = 0.3 ÷ 1
Check: Multiply answer by divisor: 0.3 × (-1) = -0.3 ✓

Common Mistakes

Avoid these frequent errors

Forgetting the sign rules for division
Don't keep the negative sign when dividing negative by negative = wrong negative answer! Two negatives in division create a positive result, just like in multiplication. Always remember: negative ÷ negative = positive.

Practice Quiz

Test your knowledge with interactive questions

What will be the sign of the result of the next exercise?

$(-2)\cdot(-4)=$

FAQ

Everything you need to know about this question

Why does negative divided by negative equal positive?

Think of it like multiplication in reverse! Since negative × negative = positive, when we divide backwards, negative ÷ negative = positive too.

What if I had (-0.3) ÷ (+1) instead?

Then you'd have negative ÷ positive = negative! The answer would be $-0.3$ . Only when both numbers have the same sign do you get positive.

How do I remember the division sign rules?

Use this simple pattern:

Same signs (both + or both -) = positive result
Different signs (one +, one -) = negative result

Is dividing by 1 always that simple?

Yes! Any number divided by 1 equals itself. So $\frac{x}{1} = x$ for any number x. The sign rules still apply though!

Can I check my answer by multiplying?

Absolutely! Division and multiplication are opposite operations. If 0.3 × (-1) = -0.3, then (-0.3) ÷ (-1) must equal 0.3.

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