# Negative Numbers Level 7

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

##### Level 1Level 2Level 3Level 4Level 5Level 6Level 7DescriptionHelpMore

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 17, 12, 7... 2. Subtract seven squared from four squared. 3. The temperature at noon was $$7^\circ$$C. The temperature at midnight was $$-4^\circ$$C. What is the difference in degrees between those two temperatures? 4. What is the missing number in the calculation $$(-7) - \blacksquare = 9$$? 5. What is the missing number in the calculation $$\blacksquare - (-4) = 4$$? 6. Cristina got these scores 8 -10 6 -8What was her total score? 7. What is negative five cubed? 8. What is the cube root of negative three hundred and forty three? 9. Find the average (mean) of the following set of numbers.$$\{ -15, 14, -13, -5, -1, \}$$ 10. What gives the answer negative seven when divided by negative seven? 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.     $$\oplus$$ Saturday, December 2, 2017: Opening balance £13     $$\oplus$$ Monday, December 4, 2017: A withdrawl of £81 was made.     $$\oplus$$ Thursday, December 7, 2017: A deposit of £23 was made.     $$\oplus$$ Saturday, December 9, 2017: A withdrawl of £83 was made.What was the final balance (How many pounds are in the account after these transactions)? 12. Here are the transactions for a different account.     $$\oplus$$ Thursday, November 30, 2017: Opening balance £342     $$\oplus$$ Friday, December 1, 2017: A deposit of £370 was made.     $$\oplus$$ Sunday, December 3, 2017: A withdrawl of £547 was made.     $$\oplus$$ Friday, December 8, 2017: A withdrawl of £856 was made.What was the final balance?
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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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## 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.

### 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.

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