# Negative Numbers Level 7

## Use negative numbers in basic arithmetic and algebraic calculations.

##### MenuLevel 1Level 2Level 3Level 4Level 5Level 6Level 7HelpMore

This is level 7: mixed You can earn a trophy if you get at least 12 correct and you do this activity online.

 1. Find the fifth term of the linear sequence which begins 14, 10, 6... 2. Subtract eight squared from six squared. 3. The temperature at noon was $$8^\circ$$C. The temperature at midnight was $$-6^\circ$$C. What is the difference in degrees between those two temperatures? 4. A very small ant stands on a number line.It is 11 away from 7.What number might the ant be standing on? There are two possibilities.Type in the two possible answers separated by a comma. 5. A pin is stuck in a number line.It is 12 away from -6.What number might the pin be stuck into?Type in the two possible answers separated by a comma. 6. A dot is drawn on a number line.It is 77 away from -27.What number might the dot be drawn on?Type in the two possible answers separated by a comma. 7. What is the missing number in the calculation $$(-12) - \blacksquare = 4$$? 8. What is the missing number in the calculation $$\blacksquare - (-5) = 6$$? 9. Cristina got these scores 11 -4 4 -3What was her total score? 10. What is negative three cubed? 11. What is the cube root of negative one hundred and twenty five? 12. Find the average (mean) of the following set of numbers.$$\{ -7, 15, -12, -14, 8, \}$$ 13. What gives the answer negative seven when divided by negative eight? 14. 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 11, 2024: Opening balance £39     $$\oplus$$ Friday, September 13, 2024: A withdrawl of £50 was made.     $$\oplus$$ Monday, September 16, 2024: A deposit of £37 was made.     $$\oplus$$ Wednesday, September 18, 2024: A withdrawl of £56 was made.What was the final balance (How many pounds are in the account after these transactions)? 15. Here are the transactions for a different account.     $$\oplus$$ Monday, September 9, 2024: Opening balance £358     $$\oplus$$ Tuesday, September 10, 2024: A deposit of £198 was made.     $$\oplus$$ Thursday, September 12, 2024: A withdrawl of £665 was made.     $$\oplus$$ Tuesday, September 17, 2024: A withdrawl of £549 was made.What was the final balance?
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.

## More Activities:

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 3 October 'Starter of the Day' page by S Mirza, Park High School, Colne:

"Very good starters, help pupils settle very well in maths classroom."

Comment recorded on the 17 June 'Starter of the Day' page by Mr Hall, Light Hall School, Solihull:

"Dear Transum,

I love you website I use it every maths lesson I have with every year group! I don't know were I would turn to with out you!"

Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.

The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing.

Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.

#### Great Expectation

An interactive online activity requiring logical thinking and a certain amount of luck. Numbers 1 to 6 are presented randomly and are to be used to produce two 2-digit numbers. Can you ensure that the first number is greater than the second?

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

Subscribe

## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

## Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

## 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:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

For Students:

For All:

Scan the QR code below to visit the online version of this activity.

https://www.Transum.org/go/?Num=62

## Description of Levels

Close

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.

### Adding and Subtracting Negative Numbers

As shown in the video, a number line is a really useful resource to help calculating sums and differences. Click on the image below for an interactive number line:

### 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.

Close