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Fill in the blanks. • The underline(P)...

Fill in the blanks.
• The `underline(P)` The P consist of natural numbers, zero and negative of natural numbers.
• Zero is called the `underline(Q)`
• `underline(R )` is called the multiplicative identity.

A

`{:(P,Q,R),("Integers","additive identity","1"):}`

B

`{:(P,Q,R),("Integers","additive inverse","1"):}`

C

`{:(P,Q,R),("Whole numbers","additive identity","0"):}`

D

`{:(P,Q,R),("Rational numbers","additive inverse","0"):}`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to fill in the blanks based on the definitions provided. 1. **Identify what P represents:** - The statement mentions that P consists of natural numbers, zero, and negative of natural numbers. - Natural numbers are 1, 2, 3, etc. - The negative of natural numbers would be -1, -2, -3, etc. - Including zero, we can conclude that P represents all integers. - Therefore, **P = integers**. 2. **Identify what Q represents:** - The statement mentions that zero is called Q. - Zero is known for its property in addition, where adding zero to any number does not change its value. - This property makes zero the **additive identity**. - Therefore, **Q = additive identity**. 3. **Identify what R represents:** - The statement mentions that R is called the multiplicative identity. - The multiplicative identity is a number that, when multiplied by any number, leaves that number unchanged. - The number that has this property is 1. - Therefore, **R = multiplicative identity**, which is **1**. Now we can fill in the blanks: - The **P** consists of natural numbers, zero, and negative of natural numbers. **P = integers**. - Zero is called the **Q**. **Q = additive identity**. - **R** is called the multiplicative identity. **R = 1**. ### Final Answers: - P = integers - Q = additive identity - R = 1

To solve the question, we need to fill in the blanks based on the definitions provided. 1. **Identify what P represents:** - The statement mentions that P consists of natural numbers, zero, and negative of natural numbers. - Natural numbers are 1, 2, 3, etc. - The negative of natural numbers would be -1, -2, -3, etc. - Including zero, we can conclude that P represents all integers. - Therefore, **P = integers**. ...
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