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Fill in the blanks . (i) In Roman numb...

Fill in the blanks .
(i) In Roman numberals , repetition of a symbol means `underline(P)`
(ii) The symbol `underline(Q)` of Roman numeral can't be substracted.
(iii) `underline( R)` is the additive identity and `underline( S)` is the multiplicative identity of whole numbers.
(iv) `underline (T)` is the only whole number which does not have predecessor .

A

`{:(P ,, Q ,, R ,, S ,, T) , ("Substraction" ,, I ,, 0 ,, 1 ,, 1):}`

B

`{:(P ,, Q ,, R ,, S ,, T) , ("Addition" ,, V ,, 0 ,, 1 ,, 0):}`

C

`{:(P ,, Q ,, R ,, S ,, T) , ("Multiplication" ,, X ,, 1 ,, 0 ,, 0):}`

D

`{:(P ,, Q ,, R ,, S ,, T) , ("Addition" ,, C ,, 1 ,, 0 ,, 1):}`

Text Solution

AI Generated Solution

The correct Answer is:
Let's solve the fill-in-the-blanks question step by step. ### Step 1: Understanding the first statement The first statement is: "In Roman numerals, repetition of a symbol means __ (P)". In Roman numerals, when a symbol is repeated, it indicates addition. For example: - I + I = II (1 + 1 = 2) - X + X = XX (10 + 10 = 20) **So, P = addition.** ### Step 2: Understanding the second statement The second statement is: "The symbol __ (Q) of Roman numeral can't be subtracted." In Roman numerals, the symbol V (5) cannot be subtracted from any larger number. For example, you cannot write "V" before "X" to indicate 5 subtracted from 10. **So, Q = V.** ### Step 3: Understanding the third statement The third statement is: "__ (R) is the additive identity and __ (S) is the multiplicative identity of whole numbers." The additive identity is the number that, when added to any number, does not change the value. For whole numbers, this is 0. The multiplicative identity is the number that, when multiplied by any number, does not change the value. For whole numbers, this is 1. **So, R = 0 and S = 1.** ### Step 4: Understanding the fourth statement The fourth statement is: "__ (T) is the only whole number which does not have a predecessor." The predecessor of a number is the number that comes before it. In whole numbers, the only number that does not have a predecessor is 0, as there is no whole number before 0. **So, T = 0.** ### Final Answers Now, let's summarize the answers: - P = addition - Q = V - R = 0 - S = 1 - T = 0
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