d. +(−21)=5Diagonals are not allowed.3. Verify the following properties for each of the given values of a,b and c.2. A player who completes the fProperty 1:a÷(b+c)=(a÷b)+c box and writes down the give paper. The player also gets asProperty 2: a×(b+c)=(a×b)+(a×c)Property 3: a×(b−c)=(a×b)−(a×c)3. The game ends when no mor2. F3. a=−1,b=11 and +(−21)=50b. +(−21)=51 and +(−21)=524. 'To calculate each player's +(−21)=53 a.
Q. d. +(−21)=5Diagonals are not allowed.3. Verify the following properties for each of the given values of a,b and c.2. A player who completes the fProperty 1:a÷(b+c)=(a÷b)+c box and writes down the give paper. The player also gets asProperty 2: a×(b+c)=(a×b)+(a×c)Property 3: a×(b−c)=(a×b)−(a×c)3. The game ends when no mor2. F3. a=−1,b=11 and +(−21)=50b. +(−21)=51 and +(−21)=524. 'To calculate each player's +(−21)=53 a.
Isolate and Solve for d: To find the value of d, we need to isolate d on one side of the equation.d+(−21)=5d−21=5Now, add 21 to both sides to solve for d.d−21+21=5+21d=26
Verify Property 1: Now let's verify Property 1 for a=−1, b=11, and c=2.Property 1 states that a÷(b+c)=(a÷b)+c.First, calculate the left side of the property.a÷(b+c)=−1÷(11+2)=−1÷13Now, calculate the right side of the property.(a÷b)+c=(−1÷11)+2=−111+2Since −131=−111+2, Property 1 holds.
Verify Property 2: Next, verify Property 2 for a=−1, b=11, and c=2. Property 2 states that a×(b+c)=(a×b)+(a×c). First, calculate the left side of the property. a×(b+c)=−1×(11+2)=−1×13=−13 Now, calculate the right side of the property. (a×b)+(a×c)=(−1×11)+(−1×2)=−11−2=−13 Since −13=−13, Property 2 holds.
Verify Property 3: Finally, verify Property 3 for a=−1, b=11, and c=2. Property 3 states that a×(b−c)=(a×b)−(a×c). First, calculate the left side of the property. a×(b−c)=−1×(11−2)=−1×9=−9 Now, calculate the right side of the property. (a×b)−(a×c)=(−1×11)−(−1×2)=−11+2=−9 Since −9=−9, Property 3 holds.