Solve Division Problem: Positive 9 ÷ Positive 9

Q: Why is positive 9 divided by positive 9 equal to 1?

Any number divided by itself always equals 1! Think of it this way: if you have 9 objects and divide them into groups of 9, you get exactly 1 group.

Q: Does the plus sign in front of the numbers matter?

Yes! The plus signs tell us both numbers are positive. Since we're dividing two positive numbers, the result must be positive too. This is the sign rule for division.

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

Use this simple pattern:Same signs: positive ÷ positive = positive, negative ÷ negative = positiveDifferent signs: positive ÷ negative = negative, negative ÷ positive = negative

Q: Is there a difference between (+9):(+9) and 9÷9?

No difference at all! The colon (:) and division symbol (÷) mean the same thing. The parentheses around (+9) just emphasize that both numbers are positive.

Integer Division with Same Sign Numbers

$(+9):(+9)=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 Let's solve this problem together.

00:09 Remember: A positive divided by a positive is always positive.

00:14 Now, let's calculate the quotient.

00:17 Any number divided by itself equals 1.

00:21 And that's the solution to our question!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$(+9):(+9)=$

Step-by-step solution

Since we are dividing two positive numbers, the result will necessarily be a positive number:

$+:+=+$

Therefore:

$+9:+9=+1$

Final Answer

$1$

Key Points to Remember

Essential concepts to master this topic

Sign Rule: Positive divided by positive always equals positive
Technique: $(+9) ÷ (+9) = +1$ since any number divided by itself is 1
Check: Verify that $1 × 9 = 9$ confirms our answer ✓

Common Mistakes

Avoid these frequent errors

Confusing division signs with number signs
Don't think the division symbol changes the sign of the answer = wrong negative result! The signs of the numbers being divided determine the result's sign, not the operation symbol. Always apply the rule: positive ÷ positive = 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 positive 9 divided by positive 9 equal to 1?

Any number divided by itself always equals 1! Think of it this way: if you have 9 objects and divide them into groups of 9, you get exactly 1 group.

Does the plus sign in front of the numbers matter?

Yes! The plus signs tell us both numbers are positive. Since we're dividing two positive numbers, the result must be positive too. This is the sign rule for division.

What would happen if one of the 9s was negative?

If one number was negative and one positive, the answer would be -1. The rule is: same signs give positive results, different signs give negative results.

How do I remember the sign rules for division?

Use this simple pattern:

Same signs: positive ÷ positive = positive, negative ÷ negative = positive
Different signs: positive ÷ negative = negative, negative ÷ positive = negative

Is there a difference between (+9):(+9) and 9÷9?

No difference at all! The colon (:) and division symbol (÷) mean the same thing. The parentheses around (+9) just emphasize that both numbers are positive.

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