Use the given pattern to complete each of the diamonds.
A.
B.
C.
D.
Practice makes perfect
To find the missing numbers, let's identify the variables using our variable diamond and substitute the correct numbers into our pattern.
Diamond A
In Diamond A, we are given that C=-4 and B=-1. Substituting these values into our pattern gives us the following equations.
-4 &=A * (-1)
D&= A+(-1)
From the first equation, we can calculate A by isolating it on one side.
In this case, we are given that D=8 and B=-3. Substituting these values into our pattern gives us the following equations.
C&=A * -3
8 &= A+ (-3)
From the second equation, we can calculate A by isolating it on one side.
Here we are given that C= -7 and D=6. We want to find the numbers A and B.
-7=A* B
6=A+B
In this case, let's think of different pairs of numbers which add to give us 6. Notice that, when we multiply them, we want to get -7 which is a negative number. Therefore, we need the pair with one negative number. Multiplication of positive and negative number gives a negative number but they may add to give a positive.
&6=-4+10
&6=-3+9
&6=-2+8
&6=-1+7
Let's check which, if any of these, will match the first condition as well.
&-4*10=-40 *
&-3*9=-27 *
&-2*8 =-16 *
& -1*7=-7
The pair A=-1 and B=7 works for the pattern. Therefore, this is the correct pair of numbers to complete the diamond.
