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I'm struggling a bit with Bounds. Can anyone explain it with a simple example?

Reply 1

I gottu g. Lower and upper bounds are the range within which the rounded number could actually be. The lower bound is achieved by taking the degree of accuracy, dividing it by 2, and then adding it. The upper bound is achieved by taking the degree of accuracy, dividing it by 2, and then adding it. If it is 5kg to the nearest kilogram, the half unit is 0.5kg. This gives an upper bound of 5.5kg and a lower bound of 4.5kg. In computing, the desired result is achieved by using the combination that gives the extreme results: to calculate the maximum division, the biggest top number is divided by the smallest bottom number, upper ÷ lower. To calculate the minimum division, the smallest top number is divided by the biggest bottom number, lower ÷ upper.

Reply 2

Original post
by Mimostudy
I'm struggling a bit with Bounds. Can anyone explain it with a simple example?
Lower Bound
Subtract half the unit of rounding
Lower bound = given value - (0.5 × unit of rounding)
Upper Bound
Add half the unit of rounding
Upper bound = given value + (0.5 × unit of rounding)
=======
Examples:
Rounded to the nearest 1:

Given: 12 m

Lower bound: 12 - 0.5 = 11.5 m

Upper bound: 12 + 0.5 = 12.5 m

Rounded to the nearest 10:

Given: 40 kg

Lower bound: 40 - 5 = 35 kg

Upper bound: 40 + 5 = 45 kg

Rounded to 1 decimal place:

Given: 3.7 cm

Lower bound: 3.7 - 0.05 = 3.65 cm

Upper bound: 3.7 + 0.05 = 3.75 cm

Rounded to 2 decimal places:

Given: 5.23 g

Lower bound: 5.23 - 0.005 = 5.225 g

Upper bound: 5.23 + 0.005 = 5.235 g

Ciao,
Sandro

Reply 3

Original post
by Nitrotoluene
Lower Bound
Subtract half the unit of rounding
Lower bound = given value - (0.5 × unit of rounding)
Upper Bound
Add half the unit of rounding
Upper bound = given value + (0.5 × unit of rounding)
=======
Examples:
Rounded to the nearest 1:

Given: 12 m

Lower bound: 12 - 0.5 = 11.5 m

Upper bound: 12 + 0.5 = 12.5 m

Rounded to the nearest 10:

Given: 40 kg

Lower bound: 40 - 5 = 35 kg

Upper bound: 40 + 5 = 45 kg

Rounded to 1 decimal place:

Given: 3.7 cm

Lower bound: 3.7 - 0.05 = 3.65 cm

Upper bound: 3.7 + 0.05 = 3.75 cm

Rounded to 2 decimal places:

Given: 5.23 g

Lower bound: 5.23 - 0.005 = 5.225 g

Upper bound: 5.23 + 0.005 = 5.235 g

Ciao,
Sandro

Thanks 🤍

Reply 4

Original post
by sushanthc
I gottu g. Lower and upper bounds are the range within which the rounded number could actually be. The lower bound is achieved by taking the degree of accuracy, dividing it by 2, and then adding it. The upper bound is achieved by taking the degree of accuracy, dividing it by 2, and then adding it. If it is 5kg to the nearest kilogram, the half unit is 0.5kg. This gives an upper bound of 5.5kg and a lower bound of 4.5kg. In computing, the desired result is achieved by using the combination that gives the extreme results: to calculate the maximum division, the biggest top number is divided by the smallest bottom number, upper ÷ lower. To calculate the minimum division, the smallest top number is divided by the biggest bottom number, lower ÷ upper.

Thank you. 🤍

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