Solve Division Problem: Calculate (+28):(+7) with Integer Division

Integer Division with Positive Numbers

(+28):(+7)= (+28):(+7)=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve this problem step by step.
00:07 Remember, when you divide a positive number by another positive number, the result is always positive.
00:14 Now, let's calculate the quotient together.
00:18 Great job! This is how we find the solution to the question.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

(+28):(+7)= (+28):(+7)=

2

Step-by-step solution

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

+:+=+ +:+=+

Therefore:

+28:+7=+4 +28:+7=+4

3

Final Answer

4 4

Key Points to Remember

Essential concepts to master this topic
  • Sign Rule: Positive divided by positive always equals positive
  • Technique: Apply division: 28÷7=4 28 ÷ 7 = 4 , keep positive sign
  • Check: Multiply back: 4×7=28 4 × 7 = 28

Common Mistakes

Avoid these frequent errors
  • Confusing sign rules for division
    Don't assume division of positive numbers gives negative result = wrong sign! This happens when mixing up multiplication and division sign rules. Always remember: positive ÷ positive = positive.

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 the answer positive when dividing two positive numbers?

+

When you divide two positive numbers, the result is always positive! Think of it as: How many groups of +7 fit into +28? The answer is 4 positive groups.

What's the difference between (+28):(+7) and regular 28÷7?

+

There's no difference in the calculation! The parentheses with + signs just emphasize that both numbers are positive. Both expressions equal 4.

How do I remember the sign rules for division?

+

Use this simple pattern: Same signs = Positive result, Different signs = Negative result. Since both numbers are positive (same signs), your answer is positive!

What if I got a fraction instead of 4?

+

Check your division! 28÷7=4 28 ÷ 7 = 4 exactly because 7 goes into 28 exactly 4 times. If you're getting fractions like 14 \frac{1}{4} , you might have flipped the numbers.

Can I just ignore the + signs in the parentheses?

+

Yes, for this problem! Since both numbers are clearly positive, the + signs are just for emphasis. Focus on 28 ÷ 7 = 4 and remember the result stays positive.

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