GB-38-05-001 · Bounds on a difference

a = 46 and b = 27, both rounded to the nearest whole number. Find the lower and upper bounds of a − b.

Bounds: Calculating Bounds of a Difference Booklet p. 65

Method

1) Find LB and UB of a and b

2) From Bounds table: for subtraction, overall LB = LB_a − UB_b and overall UB = UB_a − LB_b

Worked Example (GB-38-05-001)

From Bounds Table (p. 65): For Subtraction,

\mathbf{LB = LB_a - UB_b}

and

\mathbf{UB = UB_a - LB_b}

1) Lower: lower a minus upper b; upper: upper a minus lower b.

2) Lower 18; upper 20.

Lower 18; upper 20.