A bag of potatoes has a mass of 2.5 kg, correct to the nearest 100 g.
Bags of potatoes are packed into a box.
The mass of the box is 600 g, correct to the nearest 10 g.
Calculate the upper bound of the total mass, in kilograms, of a box containing 10 of these bags of
potatoes
Ans is 26.105 but how
Answers
Answer:
Examples
Work out the upper bound and lower bound for the following measurements.
32 cm, measured to the nearest cm:
The degree of accuracy is to the nearest 1 cm.
1 cm÷2=0.5 cm
Upper bound = 32+0.5=32.5 cm
Lower bound = 32−0.5=31.5 cm
140 cm, measured to the nearest 10 cm:
The degree of accuracy is nearest 10 cm.
10 cm÷2=5 cm
Upper bound = 140+5=145 cm
Lower bound = 140−5=135 cm
8.4 cm, measured to the nearest 0.1 cm:
The degree of accuracy is nearest 0.1 cm.
0.1 cm÷2=0.05 cm
Upper bound = 8.4+0.05=8.45 cm
Lower bound = 8.4−0.05=8.35 cm
Answer:
convert 2.5 kg to g. 2.5 x 1000 gives 2500g. This is the mass of 1 bag. For 10 bags multiply with 10 which gives 25000g.
Upper bound of 100g is 100/2=50g, meaning add 50g with 25000g which gives 25500g.
Upper bound of box is found by 600+5=605g ( 10/2=5 for the middle value of 10g)
add them all : 25500+605=26105g
convert g back to kg which is 26105/1000= 26.105kg