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Negative Numbers Level 3

Use negative numbers in basic arithmetic and algebraic calculations.

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This is level 3: addition and subtraction You can earn a trophy if you get at least 9 correct and you do this activity online.

\(-7 + -9\)

Correct Wrong

\(-8 + 5\)

Correct Wrong

\(-9 + 0\)

Correct Wrong

\(-12 + -8\)

Correct Wrong

\(-11 + -3\)

Correct Wrong

\(0 − 0\)

Correct Wrong

\(-8 − 3\)

Correct Wrong

\(3 − -6\)

Correct Wrong

\(-10 − -10\)

Correct Wrong

\((-5) + (-7) − (-1)\)

Correct Wrong

\((-8) + (-12) − (-9)\)

Correct Wrong

\((-9) − (-12) + (-9)\)

Correct Wrong

Check

This is Negative Numbers level 3. You can also try:
Level 1 Level 2 Level 4 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.

Why am I learning this?

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?

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Practice Papers

Practice Papers

Mathematics GCSE(9-1) Higher style questions and worked solutions presented as twenty short, free, practice papers to print out.

Answers

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

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

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.

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Help Video

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:

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.

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