Integers

a+b=c

• Closed integer

• Closure property

• Property of integers

• a+c=b

• c=integer,

  a=integer,

  c= integer

Answer explanation

The equation a+b=c demonstrates the closure property of integers, meaning the sum of two integers is also an integer. Thus, a, b, and c are all integers, confirming the property of integers.

a-b=b-a

• True

• False

Answer explanation

The equation a-b=b-a is false because it implies that the difference of two numbers is the same regardless of their order, which is not true. The correct relationship is a-b≠b-a. Thus, the answer is False.

a+b=b-c

• True

• False

• Sometimes true, sometimes false

Answer explanation

The equation a + b = b - c can be rearranged to a = -c, which is not universally true for all values of a, b, and c. Therefore, the statement is false.

178+(-178)=

• 0

• 1

• 356

• -356

• -0

Answer explanation

The expression 178 + (-178) simplifies to 178 - 178, which equals 0. Therefore, the correct answer is 0.

0+(-7895)+0+0 =

• Additive Identity

• Additive inverse

• 7895

• -7895

Answer explanation

The expression simplifies to -7895, as adding zero does not change the value. The correct answers are 'Additive Identity' (0) and '-7895', which is the result of the operation.

5-3=3-5

• True

• False

Answer explanation

The equation 5-3 equals 2, while 3-5 equals -2. Since 2 does not equal -2, the statement 5-3=3-5 is false.

2+2=4-0

• Sometimes true, sometimes false

• False

• True

Answer explanation

The equation 2+2 equals 4, and 4-0 also equals 4. Therefore, both sides of the equation are equal, making the statement true. additive inverse works for subtraction too so anything subtracted or added to 0, is the number itself.

100+(-100)=

• 0

• -200

• -0

• 1

• 200

Answer explanation

The expression 100 + (-100) simplifies to 100 - 100, which equals 0. Therefore, the correct answer is 0.

3+2=2+3

• False

• True

Answer explanation

The equation 3+2=2+3 demonstrates the commutative property of addition, which states that changing the order of the addends does not change the sum. Therefore, the statement is True.

30+35=35+30

• True

• False

• -65

• 65

• Commutative property

Answer explanation

The equation 30+35=35+30 is true due to the commutative property of addition, which states that changing the order of addends does not change the sum. The total is 65.