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Use the given pattern to complete each of the diamonds.
A.
B.
C.
D.
To find the missing numbers, let's identify the variables using our variable diamond and substitute the correct numbers into our pattern.
(I), (II): A= 6, B= -11
(I): - a(- b)=a* b
(II): a+(- b)=a-b
(II):Subtract term
(I), (II): A= -1, B= -4
(I): - a(- b)=a* b
(II): a+(- b)=a-b
(II):Subtract term
Multiply
.LHS /(-2).=.RHS /(-2).
- a/- b=a/b
Rearrange equation
Here we are given that C= -8 and D=-7. We want to find the numbers A and B. -8=A* B -7=A+B In this case, let's think of different pairs of numbers which multiply to give us -8. Notice that, when we multiply them, we want to get a negative number. Therefore, we need the pair with one negative number. Multiplication of positive and negative number gives a negative number. &-8=-1*8 &-8=-2*4 &-8=-4*2 &-8=-8*1 Let's check which, if any of these, will match the second condition as well. &-1+8=7 * &-2+4=2 * &-4+2=-2 * & -8+1=-7 The pair A=-8 and B=1 works for the pattern. Therefore, this is the correct pair of numbers to complete the diamond.