...subtracting one quantity from another. One text-book gives this rule for this process : — It is evident that subtracting a positive number is equivalent to...is equivalent to adding an equal positive number. To subtract, therefore, one algebraic number from another, change the sign of the subtrahend and then...

...(-3). (2) + 4-(-3) = + 4 + (+3). (3) -4 — (+3) = — 4 + (-3). 52. From (1) and (3), it is evident that subtracting a positive number is equivalent to adding an equal negative number. From (2) and (4), it is evident that subtracting a negative number is equivalent to adding an equal...

...between — 4 and — 3 is — 1. Compare these results with results obtained in addition ; it is evident that : Subtracting a positive number is equivalent to adding an equal negative number. Subtracting a negative number is equivalent to adding an equal positive number. To subtract, therefore,...

...it is evident that : Subtracting a positive number is equivalent to adding an equal negative number. Subtracting a negative number is equivalent to adding an equal positive number. To subtract, therefore, one algebraic number from another, change the sign of the subtrahend, and then...

...left ; hence the algebraic difference, —2s. 47. From groups (B) and (A), (2) and (1), it follows that subtracting a positive number is equivalent to adding an equal negative number, and subtracting a negative number is equivalent to adding an equal positive number. 48. Illustrative Problems....

...OF ALGEBKAIC LITERAL EXPRESSIONS. 61. From group (C) we learn that, in general, the subtraction of a positive number is equivalent to adding an equal negative number, and the subtraction of a negative number is equivalent to adding an equal positive number. Therefore, for...

...-а-(+Ъ) = -а-Ъ. (3) -а + (+Ъ) = -а+Ъ. -а-(-Ъ) = -а+Ъ. (4) From (I) and (3), it is seen that subtracting a positive number is equivalent to adding an equal negative number. From (2) and (4), it is seen that subtracting a negative number is equivalent to adding an equal positive...

...subtracting a positive lumber is equivalent to adding an equal negative number. From (2) and (4), it is seen that subtracting a negative number is equivalent to adding an equal positive number. +a+(+b)=+a+b. To subtract one algebraic number from another, we have, therefore, the following rule...

...is, the sum. of the absolute values of the numbers. 67. From the four cases of subtraction in § 64, we see that subtracting a positive number is equivalent to adding an equal negative number, and subtracting a negative number is equivalent to adding an equal positive number. To Subtract One Algebraic...

...the algebraic difference is — 2 s. 50. From groups (B) and (A), pp. 53, 43, (2) and (1,) it follows that subtracting a positive number is equivalent to adding an equal negative number, and subtracting a negative number is equivalent to adding an equal positive number. Therefore, to subtract...