Answer:
The least and the greatest weights are 315 grams and 325 grams
Step-by-step explanation:
* Lets explain what is the upper and lower bounds
- The lower bound is the smallest value that would round up to the
estimated value.
- The upper bound is the smallest value that would round up to the next
estimated value.
- Ex: a mass of 70 kg, rounded to the nearest 10 kg, has a lower
bound of 65 kg, because 65 kg is the smallest mass that rounds to
70 kg. The upper bound is 75 kg, because 75 kg is the smallest mass
that would round up to 80 kg, then 65 ≤ weight < 75
- So to understand how to find them divide the nearest value by 2
and then subtract it and add it to the approximated value
* Lets solve the problem
- A packet of crisps weighs 32 grams to the nearest gram
- The nearest value is 1 gram
∴ 1 ÷ 2 = 0.5
- To find the lower bound subtract 0.5 from the approximated value
∵ The approximated value is 32
∴ The lower bound = 32 - 0.5 = 31.5 grams
- To find the upper bound add 0.5 from the approximated value
∵ The approximated value is 32
∴ The upper bound = 32 + 0.5 = 32.5 grams
∴ 31.5 ≤ weight of one packet < 32.5
∵ A multipack of crisps contain 10 packets
- To find the least and greatest weights of the multipack multiply the
the lower bound and the upper bound by 10
∵ The least value of one packet is 31.5
∴ The least weight of the mulipack = 31.5 × 10 = 315 grams
∵ The greatest value of one packet is 32.5
∴ The greatest weight of the mulipack = 32.5 × 10 = 325 grams
∴ 315 ≤ weight of multipack < 325
* The least and the greatest weights are 315 grams and 325 grams
