Additive identity is a number, which when added to any number, gives the sum as the number itself. It means that additive identity is “0” as adding 0 to any number, gives the sum as the number itself. For any set of numbers, that is, all integers, rational numbers, complex numbers, the additive identity is 0.

Additive Identity Property On adding zero to any number, the sum remains the original number. Adding 0 to a number does not change the value of the number. For example, 3 + 0 = 3.

## Which property justifies steps?

Steps: Justification (Reasons):
0 – 6 = x – 24 Zero Property of Multiplication (left side) Multiplicative Identity (right side)
– 6 = x – 24 Additive Identity Property
-6 + 24 = x – 24 + 24 Addition Property of Equality
18 = x + 0 Addition (left side) Additive Inverse Property (right side)

## What is an example of the commutative property of addition?

Commutative property of addition: Changing the order of addends does not change the sum. For example, 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+44, plus, 2, equals, 2, plus, 4.

## Which property is not used to simplify the following expression?

The only listed property that was not used was commutative property of addition.

## Which property is used to simplify expressions?

Distributive Property

## What is the identity property?

The identity property of 1 says that any number multiplied by 1 keeps its identity. In other words, any number multiplied by 1 stays the same. The reason the number stays the same is because multiplying by 1 means we have 1 copy of the number.

## Which property is used to write 15x 9 as 9 15x?

Solution: The commutative property of addition states that when two numbers are being added, their order can be changed without affecting the sum.

## What does distributive property look like?

The Distributive Property is easy to remember, if you recall that “multiplication distributes over addition”. Formally, they write this property as “a(b + c) = ab + ac”. In numbers, this means, for example, that 2(3 + 4) = 2×3 + 2×4.

## What property is 3x 15?

distributive property

## Which property do the following statements hold 7 9 9 7?

Answer. Step-by-step explanation: (a) Commutative property states that rearranging numbers while addition or multiplication won’t have any effect on the sum or product. (b) Closure property states that when whole numbers are multiplied or added among each other – the result would also be a whole number.

## Which properties can be used to solve 7y 15 29?

O A Identity Property of. Multiplication. O B Addition Property of Equality.

## How will you check if your solution is correct?

If the numbers you get from evaluating the two expressions are the same, then the given value is a solution of the equation (makes the equation true). If the numbers don’t match, the given value is not a solution of the equation (makes the equation false).

## Which property does the following statement hold?

Additive identity is the number which when added to another number gives the same number. Only 0 is used as an additive identity because if we add o with any number the result we get as the same number.

## What is distributive property in maths for Class 6?

The distributive property is a property used in Algebra where a number, when multiplied with a group of numbers, can be distributed to each number of the group and multiplied.

## What is the product when a number is multiplied by zero?

Multiplication by Zero Multiplying by 0 makes the product equal zero. The product of any real number and 0 is 0 .

## What is 0 times a variable?

The multiplication property states that the product of any number and zero is zero. It doesn’t matter what the number is, when you multiply it to zero, you get zero as the answer. So: 2 x 0 = 0.

## What is the multiplicative inverse of 0?

Multiplicative Inverse of Zero: The multiplicative inverse of zero does not exist. This is because 0xN=0 and 1/0 is undefined.

## Why can you multiply by 0?

Dividing by zero isn’t allowed because it results in the same answer (infinity) for every input and therefore is considered “undefined.” Multiplying by zero is allowed, even though it results in the same answer for every input (zero).

## Why do we add 0 in division?

When you come across a step in long division where the divisor is larger than the current working dividend, you need to put a zero in the quotient. You probably just forgot to write a zero in the quotient when you had to “bring down” an extra digit from the dividend because the remainder was bigger than the divisor.

## Is there a zero property of division?

You cannot divide any number by zero since it is meaningless to say that we are dividing a number or object in zero groups or in 0 size parts.

## What is the product of 1 and any number?

The product of any number and 1 is equal to that number. The number 1 is often called the multiplicative identity. The numbers 1, 2, 3, 4 and so on.

## What is the multiplicative inverse of 7?

Dividing by a number is equivalent to multiplying by the reciprocal of the number. Thus, 7 ÷7=7 × 1⁄7 =1. Here, 1⁄7 is called the multiplicative inverse of 7. Similarly, the multiplicative inverse of 13 is 1⁄13.