Solve Division Problem: -94.7 ÷ (-1) Step by Step

Q: Why is negative divided by negative positive?

Think of division as repeated subtraction. When you divide -94.7 by -1, you're asking "how many groups of -1 fit into -94.7?" Since both numbers point in the same direction (negative), the result is positive!

Q: What's the easiest way to remember the sign rules?

Use this simple rule: same signs = positive, different signs = negative. So (-) ÷ (-) = (+) and (+) ÷ (-) = (-).

Q: How do I check my division answer?

Use multiplication to check division! Multiply your answer by the divisor: 94.7 × (-1) = -94.7. This matches our original dividend, so we're correct!

Q: Does this work the same way with whole numbers?

Absolutely! The sign rules work exactly the same whether you're dividing decimals, fractions, or whole numbers. For example: (-8) ÷ (-2) = +4.

Division of Negative Numbers with Decimal Values

$(-94.7):(-1)=\text{ ?}$

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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 is always positive

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

$(-94.7):(-1)=\text{ ?}$

Step-by-step solution

Firstly we need to realise that since we are dividing two negative numbers, the result must be a positive number.

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

$\frac{94.7}{1}=$

Remember the rule:

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

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

$\frac{94.7}{1}=94.7$

Final Answer

$94.7$

Key Points to Remember

Essential concepts to master this topic

Sign Rule: Dividing two negative numbers always gives a positive result
Technique: Rewrite $(-94.7) ÷ (-1)$ as $\frac{94.7}{1} = 94.7$
Check: Verify that $94.7 × (-1) = -94.7$ matches original dividend ✓

Common Mistakes

Avoid these frequent errors

Forgetting the sign rule when dividing negative numbers
Don't keep the negative sign just because you see negative numbers = wrong answer of -94.7! This ignores that negative ÷ negative = positive. Always remember: same signs give positive results, different signs give negative results.

Practice Quiz

Test your knowledge with interactive questions

Convert $\frac{7}{2}$ into its reciprocal form:

FAQ

Everything you need to know about this question

Why is negative divided by negative positive?

Think of division as repeated subtraction. When you divide -94.7 by -1, you're asking "how many groups of -1 fit into -94.7?" Since both numbers point in the same direction (negative), the result is positive!

What's the easiest way to remember the sign rules?

Use this simple rule: same signs = positive, different signs = negative. So (-) ÷ (-) = (+) and (+) ÷ (-) = (-).

Why does dividing by -1 just change the sign?

Dividing by -1 is like asking "what number times -1 gives me my original number?" For -94.7, that number is 94.7 because 94.7 × (-1) = -94.7.

How do I check my division answer?

Use multiplication to check division! Multiply your answer by the divisor: 94.7 × (-1) = -94.7. This matches our original dividend, so we're correct!

Does this work the same way with whole numbers?

Absolutely! The sign rules work exactly the same whether you're dividing decimals, fractions, or whole numbers. For example: (-8) ÷ (-2) = +4.

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