Division Sign Rules: Determining the Sign of 7.5 ÷ 3

Division Sign Rules with Positive Numbers

Determine the resulting sign from the following exercise?

(+7.5):(+3) (+7.5):(+3)

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the result sign
00:03 Find the sign of each number
00:06 Positive divided by positive is always positive
00:10 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Determine the resulting sign from the following exercise?

(+7.5):(+3) (+7.5):(+3)

2

Step-by-step solution

We will only look at whether the number is negative or positive.

In other words, the division exercise looks like this:

+:+= +:+=

Since we are dividing a positive number by a positive number, the result must be a positive number.

3

Final Answer

+

Key Points to Remember

Essential concepts to master this topic
  • Sign Rule: Positive divided by positive always equals positive
  • Technique: Focus only on signs: (+)÷(+)=(+) (+) ÷ (+) = (+)
  • Check: Calculate actual result: 7.5÷3=2.5 7.5 ÷ 3 = 2.5 which is positive ✓

Common Mistakes

Avoid these frequent errors
  • Confusing division sign rules with subtraction
    Don't think positive ÷ positive = negative like 7.5 - 3 = 4.5! Division and subtraction have different sign rules. Always remember: same signs in division give positive results.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

\( (+6)\cdot(+9)= \)

FAQ

Everything you need to know about this question

Why does positive divided by positive equal positive?

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Think of division as repeated subtraction. When you divide 7.5 by 3, you're asking "how many groups of 3 fit into 7.5?" Since both numbers are positive, the answer must be positive too!

What if I had negative divided by negative?

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Negative ÷ negative also equals positive! The rule is: same signs give positive results, whether it's (+) ÷ (+) or (-) ÷ (-).

When would division give a negative result?

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Division gives negative results when the signs are different: positive ÷ negative = negative, or negative ÷ positive = negative.

Do I need to calculate the actual answer to know the sign?

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No! You can determine the sign before doing any calculations. Just look at the signs of the numbers being divided and apply the sign rules.

How can I remember the division sign rules?

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Use this simple rule: Same signs = positive result, Different signs = negative result. This works for both multiplication and division!

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