Negative Numbers Level 6
Use negative numbers in basic arithmetic and algebraic calculations.
This is level 6: substitution You can earn a trophy if you get at least 9 correct and you do this activity online.
If a=-5 and b=-10 evaluate the following:
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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Comment recorded on the 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School:
"Really good site. Lots of good ideas for starters. Use it most of the time in KS3."
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"This is an excellent website. We all often use the starters as the pupils come in the door and get settled as we take the register."
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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
The video above is from MathsWatch
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.