Mathematics
Write T for true and F for false statement :
Subtraction is associative on natural numbers.
Whole Numbers
2 Likes
Answer
False
Reason
For an operation to be associative, the following property must hold for any three numbers a, b, and c:
(a − b) − c = a − (b − c)
Let us take an example with natural numbers (e.g., 5, 3, and 1):
L.H.S. = (5 − 3) − 1 = 2 − 1 = 1
R.H.S. = 5 − (3 − 1) = 5 − 2 = 3
Since, 1 ≠ 3, the associative property does not hold for subtraction.
Answered By
1 Like
Related Questions
Fill in the blanks :
(i) 156 x 48 - 156 x 38 = ……………
(ii) 76 x 53 + 76 x 47 = ……………
(iii) 138 x 67 + 62 x 67 = ……………
(iv) 4 x 269 x 25 = ……………
(v) There are …………… whole numbers up to 40.
(vi) …………… is the whole number which has no predecessor.
Write T for true and F for false statement :
The least natural number is 0.
Write T for true and F for false statement :
In whole numbers, the multiplicative identity is 1.
Write T for true and F for false statement :
For whole numbers a, b, c, we always have (a + b).c = a.c + b.c.