Negative Numbers

Without a calculator copy and complete:

\(6\times2=12\)
\(5\times1 = 5\)
\(4\times0 =\)
\(3\times-1 =\)
\(2\times-2 =\)
\(1\times-3 =\)
\(0\times\)
\(-1\times\)
\(-2\times\)
\(-3\times\)

If a = 2, b = -5 and c = -3
find the values of:

\(a + b\)
\(ac\)
\(b - c\)
\(abc\)
\(a + b + c\)
\(bc^2\)
\((bc)^2\)
\(a^2b^3\)
\(c(b - a)\)
\(b^a\)

A Mathematics Lesson Starter Of The Day


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Topics: Starter | Negative Numbers | Number

  • Transum,
  •  
  • Have you ever tried to explain to pupils why a negative number multiplied by a negative number gives a positive result? It is difficult to find a real world example that makes this concept clear. My favourite method is to use the pattern or sequence generated in the left frame above. Most pupils take this as a good explanation for the product of negatives result. The right frame above is simply a chance to put this knowledge into practice with some directed number questions.
  • Stafford,
  •  
  • A negative x a negative:
    The way I explain it to the kids if they're struggling to get it is to ignore the minus signs and do the multiplication. So -5 x -8 do as 5x8=40. If you then put 1 minus on the answer it becomes -40. But we have 2 minuses to include so it'll be 40 and we know that a minus and a minus together make a + (I always do adding/subtracting before multiplying/dividing).
  • RER, Paris
  •  
  • Great resource, however some of the questions on the left hand side are incomplete eg 0x then there is no other number. Perhaps this could be amended. The same is true if you ask for different numbers.

    [Transum: Thank you for your comments. The left column is intended to be an unfinished sequence of calculations that the pupils should complete. By seeing the patterns in the sequence the pupils might gain a better understanding of directed number.]

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Previous Day | This starter is for 15 January | Next Day

 

Answers

6  x 2 = 12
5  x 1 = 5
4  x 0 = 0
3  x -1 = -3
2  x -2 = -4
1  x -3 = -3
0  x -4 = 0
-1  x -5 = 5
-2  x -6 = 12
-3  x -7 = 21

-3
-6
-2
30
-6
-45
225
-500
21
25

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