Transum Software

Negative Numbers Level 7

Use negative numbers in basic arithmetic and algebraic calculations.

Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Description Help More

This is level 7: mixed You can earn a trophy if you get at least 9 correct and you do this activity online.

1. Find the fifth term of the linear sequence which begins 27, 19, 11...

Correct Wrong

2. Subtract ten squared from five squared.

Correct Wrong

3. The temperature at noon was \(9^\circ \)C. The temperature at midnight was \(-6^\circ \)C. What is the difference in degrees between those two temperatures?

Correct Wrong

4. What is the missing number in the calculation \( (-11) - \blacksquare = 7\)?

Correct Wrong

5. What is the missing number in the calculation \( \blacksquare - (-12) = 9\)?

Correct Wrong

6. Cristina got these scores 7 -6 6 -8
What was her total score?

Correct Wrong

7. What is negative three cubed?

Correct Wrong

8. What is the cube root of negative one hundred and twenty five?

Correct Wrong

9. Find the average (mean) of the following set of numbers.

$$\{ -5, 13, -5, -9, 6, \}$$

Correct Wrong

10. What gives the answer negative eight when divided by negative seven?

Correct Wrong

11. A bank account is considered to be 'in the black' or 'in credit' when it contains a positive amount of money. An account is considered to be 'in the red' or 'in debt' when it contains a negative amount of money.

    \( \oplus \) Wednesday, September 16, 2020: Opening balance £15
    \( \oplus \) Friday, September 18, 2020: A withdrawl of £89 was made.
    \( \oplus \) Monday, September 21, 2020: A deposit of £25 was made.
    \( \oplus \) Wednesday, September 23, 2020: A withdrawl of £52 was made.

What was the final balance (How many pounds are in the account after these transactions)?

Correct Wrong

12. Here are the transactions for a different account.

    \( \oplus \) Monday, September 14, 2020: Opening balance £274
    \( \oplus \) Tuesday, September 15, 2020: A deposit of £106 was made.
    \( \oplus \) Thursday, September 17, 2020: A withdrawl of £655 was made.
    \( \oplus \) Tuesday, September 22, 2020: A withdrawl of £562 was made.

What was the final balance?

Correct Wrong

Check

This is Negative Numbers level 7. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5 Level 6

Or here are some other negative number exercises to try:
Temperatures Negative Magic Reading Scales Inequalities

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

Please contact me if you have any suggestions or questions.

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Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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© Transum Mathematics :: This activity can be found online at:
www.transum.org/software/SW/Starter_of_the_day/Students/Negative_Numbers.asp?Level=7

Description of Levels

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Level 1 - Simple subtraction

        Example: 5 - 12

Level 2 - Adding to a negative number

        Example: -7 + 9

Level 3 - Addition and Subtraction

        Example: -10 + -2

Level 4 - Multiplication

        Example: -3 x 2

Level 5 - Division

        Example: -10 ÷ 5

Level 6 - Substitution

        Example: If a=-3 and b=-7 evaluate 7a - 8b - 6

Level 7 - Mixed

        Example: A mixed set of word problems

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Adding and Subtracting Negative Numbers

The video above is from MathsWatch

Multiplying and Dividing Negative Numbers

When multiplying or dividing negative numbers remember this:

Same Signs \( \rightarrow \) Positive Answer

Different Signs \( \rightarrow \) Negative Answer

Example 1: Same signs (a positive multiplied by a positive) gives a positive answer:

\( 12 \times 6 = 72 \)

Example 2: Different signs (a positive multiplied by a negative) gives a negative answer:

\( 12 \times (-6) = -72 \)

Example 3: Different signs (a negative divided by a positive) gives a negative answer:

\( (-12) \div 6 = -2 \)

Example 4: Same signs (a negative divided by a negative) gives a positive answer:

\( (-12) \div (-6) = 2 \)

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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