Solve Division Problem: -34.597 ÷ (-1) Step by Step

Q: Why is negative divided by negative equal to positive?

Think of division as "how many times does the divisor go into the dividend?" When you divide $ -34.597 ÷ (-1) $, you're asking how many times -1 goes into -34.597. The answer is +34.597 times!

Q: How do I remember the sign rules for division?

Use this simple pattern: Same signs = positive result, Different signs = negative result. Positive ÷ Positive = PositiveNegative ÷ Negative = PositivePositive ÷ Negative = NegativeNegative ÷ Positive = Negative

Q: Does the decimal part matter for the signs?

Not at all! The sign rules work the same whether you're dividing whole numbers, decimals, or fractions. Focus on the signs first, then do the regular division.

Q: What if I'm dividing by a negative fraction?

The same rules apply! $ (-6) ÷ (-\frac{1}{2}) = +12 $ because negative ÷ negative = positive. Just remember to multiply by the reciprocal when dividing by fractions.

Division by Negative One with Decimals

$(-34.597):(-1)=\text{ ?}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 Negative divided by negative always equals positive

00:13 Any number divided by 1 always equals itself

00:26 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

$(-34.597):(-1)=\text{ ?}$

Step-by-step solution

Note that we are dividing two negative numbers, which means that the result of the exercise must be a positive number.

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

$\frac{34.597}{1}=$

Remembering the rule:

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

Any number divided by -1 equals the negative of itself, therefore:

$\frac{34.597}{1}=34.597$

Final Answer

$+34.597$

Key Points to Remember

Essential concepts to master this topic

Sign Rule: Negative divided by negative equals positive result
Technique: $(-34.597) ÷ (-1) = +34.597$
Check: Verify signs first, then calculate: negative ÷ negative = positive ✓

Common Mistakes

Avoid these frequent errors

Forgetting the sign rules when dividing
Don't just focus on the numbers and ignore the signs = wrong answer! Many students see (-34.597) ÷ (-1) and think the answer is negative because they see negative numbers. 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 is negative divided by negative equal to positive?

Think of division as "how many times does the divisor go into the dividend?" When you divide $-34.597 ÷ (-1)$ , you're asking how many times -1 goes into -34.597. The answer is +34.597 times!

What's the rule for dividing by -1?

Any number divided by -1 equals the opposite of that number. So $(-34.597) ÷ (-1) = +34.597$ and $(+5) ÷ (-1) = -5$ .

How do I remember the sign rules for division?

Use this simple pattern: Same signs = positive result, Different signs = negative result.

Positive ÷ Positive = Positive
Negative ÷ Negative = Positive
Positive ÷ Negative = Negative
Negative ÷ Positive = Negative

Does the decimal part matter for the signs?

Not at all! The sign rules work the same whether you're dividing whole numbers, decimals, or fractions. Focus on the signs first, then do the regular division.

What if I'm dividing by a negative fraction?

The same rules apply! $(-6) ÷ (-\frac{1}{2}) = +12$ because negative ÷ negative = positive. Just remember to multiply by the reciprocal when dividing by fractions.

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