# Negative Numbers Level 4

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

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This is level 4: multiplication You can earn a trophy if you get at least 9 correct and you do this activity online.

 $$(-4) \times (5)$$ $$(-11) \times (-9)$$ $$(-10) \times (-5)$$ $$(-5) \times (-2)$$ $$(-6) \times (1)$$ $$(2) \times (-3)$$ $$(-10) \times (-9)$$ $$(-3) \times (-3)$$ $$(-9) \times (1)$$ $$(1) \times (-3) \times (-3)$$ $$(-3) \times (-10) \times (-8)$$ $$(-2) \times (1) \times (-11)$$
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This is Negative Numbers level 4. You can also try:
Level 1 Level 2 Level 3 Level 5 Level 6 Level 7

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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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.

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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.

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## 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.

### 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:

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

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