Solve the Division Problem: -70 ÷ 7

Q: Why is the answer negative when I'm dividing by a positive number?

The sign rule says that when you divide numbers with different signs (one negative, one positive), the result is always negative. Since -70 is negative and 7 is positive, $ \frac{-70}{7} = -10 $.

Q: How do I remember which sign the answer should have?

Use this simple rule: Same signs = positive, Different signs = negative. Since -70 and 7 have different signs, your answer must be negative!

Q: Can I ignore the negative sign and add it back later?

Yes! That's actually a great strategy. First divide the absolute values: 70 ÷ 7 = 10. Then apply the sign rule to get -10.

Q: What if both numbers were negative?

If both numbers are negative, like $ \frac{-70}{-7} $, the answer would be positive 10 because negative ÷ negative = positive (same signs).

Q: How can I check if my answer is correct?

Multiply your answer by the divisor: $ -10 \times 7 = -70 $. If you get back to the original dividend (-70), your answer is right!

Integer Division with Negative Numbers

Solve the following problem:

$\frac{-70}{7}=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following problem:

$\frac{-70}{7}=$

Step-by-step solution

Remember that we are dividing a positive number by a negative number, so the result must be a negative number.

We will divide both the numerator and the denominator by the highest number that both are divisible by.

In this case, that number is 7

We will divide the fraction as follows:

$\frac{-70:7}{7:7}=\frac{-10}{1}=-10$

Final Answer

$-10$

Key Points to Remember

Essential concepts to master this topic

Sign Rule: Negative divided by positive always equals negative
Technique: Divide absolute values first: 70 ÷ 7 = 10
Check: Multiply result by divisor: -10 × 7 = -70 ✓

Common Mistakes

Avoid these frequent errors

Forgetting the negative sign in the final answer
Don't solve -70 ÷ 7 and write 10 = wrong answer! When dividing numbers with different signs, the result must be negative. Always apply the sign rule: negative ÷ positive = negative.

Practice Quiz

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Write the fraction shown in the picture, in words:

FAQ

Everything you need to know about this question

Why is the answer negative when I'm dividing by a positive number?

The sign rule says that when you divide numbers with different signs (one negative, one positive), the result is always negative. Since -70 is negative and 7 is positive, $\frac{-70}{7} = -10$ .

How do I remember which sign the answer should have?

Use this simple rule: Same signs = positive, Different signs = negative. Since -70 and 7 have different signs, your answer must be negative!

Can I ignore the negative sign and add it back later?

Yes! That's actually a great strategy. First divide the absolute values: 70 ÷ 7 = 10. Then apply the sign rule to get -10.

What if both numbers were negative?

If both numbers are negative, like $\frac{-70}{-7}$ , the answer would be positive 10 because negative ÷ negative = positive (same signs).

How can I check if my answer is correct?

Multiply your answer by the divisor: $-10 \times 7 = -70$ . If you get back to the original dividend (-70), your answer is right!

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