Solve: (+5) × (+5) - Positive Number Multiplication

Q: Why is positive times positive always positive?

Think of it as repeated addition: $ (+5) \times (+5) $ means adding 5 positive groups of 5, which gives you 25 positive units total!

Q: How do I remember all the sign rules for multiplication?

Use this simple pattern: Same signs = Positive, Different signs = Negative. So $ (+)(+) = + $ and $ (-)(-) = + $, but $ (+)(-) = - $.

Q: What's the difference between +5 and just 5?

They're the same value! Writing $ +5 $ just makes the positive sign explicit to help you practice sign rules. The answer $ +25 $ equals 25.

Q: What if the numbers were different, like (+3) × (+7)?

Same rule applies! Positive × Positive = Positive. So $ (+3) \times (+7) = +21 = 21 $. The sign rule stays the same regardless of the numbers.

Positive Number Multiplication with Sign Rules

Solve the following exercise:

$(+5)\cdot(+5)=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following exercise:

$(+5)\cdot(+5)=$

Step-by-step solution

Due to the fact that we are multiplying two positive numbers together, the result will inevitably be positive:

$+\times+=+$

We obtain the following result:

$+5\times+5=+25=25$

Final Answer

$25$

Key Points to Remember

Essential concepts to master this topic

Rule: Positive times positive always equals positive
Technique: Apply sign rule first: $(+)(+) = +$ , then multiply: $5 \times 5 = 25$
Check: Verify signs match the rule: two positives give positive result ✓

Common Mistakes

Avoid these frequent errors

Confusing multiplication sign rules
Don't think positive times positive equals negative = $-25$ ! This mixes up the rules with negative multiplication. Always remember: same signs (both positive or both negative) give positive results.

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 times positive always positive?

Think of it as repeated addition: $(+5) \times (+5)$ means adding 5 positive groups of 5, which gives you 25 positive units total!

How do I remember all the sign rules for multiplication?

Use this simple pattern: Same signs = Positive, Different signs = Negative. So $(+)(+) = +$ and $(-)(-) = +$ , but $(+)(-) = -$ .

What's the difference between +5 and just 5?

They're the same value! Writing $+5$ just makes the positive sign explicit to help you practice sign rules. The answer $+25$ equals 25.

Do I always need to write the + sign in my final answer?

No! Positive numbers don't require the + sign. You can write either $+25$ or just 25 - both are correct and mean the same thing.

What if the numbers were different, like (+3) × (+7)?

Same rule applies! Positive × Positive = Positive. So $(+3) \times (+7) = +21 = 21$ . The sign rule stays the same regardless of the numbers.

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