Solve the Division Problem: +24 ÷ +8 with Positive Integers

Integer Division with Sign Rules

+24:+8= ? +24:+8=\text{ ?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's solve this math problem together!
00:08 Remember, positive divided by positive is always positive. Great job!
00:15 Now, let's write the division as a fraction. Nice and easy!
00:21 We'll break down 24 into its factors: 8 and 3. Ready to simplify?
00:27 Let's simplify everything we can. You're doing great!
00:31 And there you have it! That's the solution. Well done!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

+24:+8= ? +24:+8=\text{ ?}

2

Step-by-step solution

First, let's write the exercise in the form of a simple fraction:

248= \frac{24}{8}=

Next we'll factor 24 into a multiplication exercise:

3×88= \frac{3\times8}{8}=

Finally we cancel out the 8 in both the numerator and denominator of the fraction to get:

31=3 \frac{3}{1}=3

3

Final Answer

3 3

Key Points to Remember

Essential concepts to master this topic
  • Division Rule: Positive ÷ positive always equals positive
  • Technique: Factor numerator: 248=3×88=3 \frac{24}{8} = \frac{3 \times 8}{8} = 3
  • Check: Multiply answer by divisor: 3×8=24 3 \times 8 = 24

Common Mistakes

Avoid these frequent errors
  • Confusing division sign rules
    Don't think positive ÷ positive gives negative = wrong answer! This happens when students mix up multiplication and division 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 is +24 ÷ +8 positive when it looks complicated with the plus signs?

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The plus signs just emphasize that both numbers are positive. When you divide two positive numbers, the result is always positive. Think of it as 24 ÷ 8 = 3.

How do I remember the sign rules for division?

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Same signs = positive result, different signs = negative result. So positive ÷ positive = positive, and negative ÷ negative = positive too!

Can I just ignore the plus signs in this problem?

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Yes! The plus signs are just there to be extra clear that the numbers are positive. You can solve this as simply 24÷8=3 24 ÷ 8 = 3 .

What if I got 16 as my answer?

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You might have added instead of dividing! Remember: division means "how many times does 8 go into 24?" The answer is 3 times, not 16.

How can I check my division without a calculator?

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  • Multiply your answer by the divisor
  • If 3×8=24 3 \times 8 = 24 , then your answer is correct!
  • Or think: 8 goes into 24 exactly 3 times

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