Question

4. Without changing the equality, we may _______________ the same quantity to both side of the equation.

Answer 1

Answer:

Answer: Without changing the equality, we may Transfer the same quantity to both sides of the equation.

Step-by-step explanation:

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Answer 2

Answer:

Without changing the equality, we may add, subtract, multiply or divide the same quantity to both side of the equation.

Step-by-step explanation:

Lets take an example.

20 + 40 + 60 + 80 = 200

If we add 20 to both the sides, we will have:

20 + 40 + 60 + 80 + 20 = 200 + 20

20 + 40 + 60 + 80 + 20 = 220

which is satisfying the equality

If we subtract 20 from both sides, we get:

20 + 40 + 60 + 80 - 20 = 200 - 20

20 + 40 + 60 + 80 - 20 = 180

which is satisfying the equality

If we multiply 2 to both the sides, we get that:

2 ( 20 + 40 + 60 + 80 ) = 2 ( 200 )

40 + 80 + 120 + 160 = 400

which is satisfying the equality

If we divide by 20 on both the sides, we get that:

(20 + 40 + 60 + 80) ÷ 20  = 200 ÷ 20

1 + 2 + 3 + 4 = 10

which is satisfying the equality

Therefore, we can say that without changing the equality, we may add, subtract, multiply or divide the same quantity to both side of the equation.

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