Negative Numbers Level 7Use negative numbers in basic arithmetic and algebraic calculations. 
This is level 7: mixed You can earn a trophy if you get at least 12 correct and you do this activity online.
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
InstructionsTry 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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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 19 October 'Starter of the Day' page by E Pollard, Huddersfield: "I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information." Comment recorded on the 10 September 'Starter of the Day' page by Carol, Sheffield PArk Academy: "3 NQTs in the department, I'm new subject leader in this new academy  Starters R Great!! Lovely resource for stimulating learning and getting eveyone off to a good start. Thank you!!" 
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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
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:
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 doubleclick 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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