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What is the length of a ruler in metres if it is 100 centimetres long?
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18 stepsPart 10· 2 steps
The length of a ruler is 100 centimetres. What is this length in metres?
Recall the conversion factor.
There are 100 centimetres in 1 metre.
Convert centimetres to metres.
To convert 100 centimetres to metres, divide by 100.
The length of the ruler in metres is .
Part 11
A container weighs 2 tonnes and 300 kilograms. Convert this mass into kilograms.
Recall the conversion factor for tonnes to kilograms.
There are 1000 kilograms in 1 tonne.
Convert tonnes to kilograms.
Add the remaining kilograms.
Total mass =
The total mass of the container in kilograms is .
Part 12
A factory produces 345 litres of sunflower oil every day. How many millilitres of oil will the factory produce in one week?
Recall the conversion factor for litres to millilitres.
There are 1000 millilitres in 1 litre.
Calculate daily production in millilitres.
Calculate weekly production.
There are 7 days in a week.
Weekly production = Daily production in mL 7 daysThe factory will produce of oil in one week.
Part 13
A maize sack weighs 18250 grams. Convert this mass into kilograms.
Recall the conversion factor for grams to kilograms.
There are 1000 grams in 1 kilogram.
Convert grams to kilograms.
To convert grams to kilograms, divide by 1000.
The mass of the maize sack in kilograms is .
Part 14
Two cows produce milk as follows: the first cow produces 2 litres and 353 millilitres and the second cow produces 5 litres and 452 millilitres. Find the total volume of milk produced by the two cows.
Convert all volumes to a common unit (millilitres).
Recall that .
First cow's production:
Total for first cow =
Second cow's production:
Total for second cow =
Add the total volumes from both cows.
Total volume =
Alternatively, we can add litres and millilitres separately:
Total litres =
Total millilitres =
Total volume =The total volume of milk produced by the two cows is .
Part 15
Which measurement is the largest among 7500 grams, 3 tonnes, 4000 kilograms, and 2350 milligrams? Give reasons for your answer.
Convert all measurements to a common unit, such as kilograms (kg).
Recall the conversion factors:
(so )-
7500 grams (g) to kilograms (kg):
-
3 tonnes to kilograms (kg):
-
4000 kilograms (kg): This is already in kilograms.
-
2350 milligrams (mg) to kilograms (kg):
-
Compare the values in kilograms.
We have:
Identify the largest measurement.
Comparing these values, is the largest.
The largest measurement is .
Reason: When all measurements are converted to a common unit (kilograms), 4000 kg is the largest value (, , , ).
Part 16
A bucket of water has a volume of 10 litres. If 5534 millilitres of water have been added to the bucket, how many millilitres of water are needed to fill the bucket?
Convert the total volume of the bucket to millilitres.
Recall that .
Total bucket volume =Subtract the amount of water already added from the total volume.
Water needed = Total bucket volume - Water added
of water are needed to fill the bucket.
Part 17
A trader purchased products with the following masses: 76320 grams of flour, 61000 grams of rice, and 72000 grams of salt. What is the total mass of the products purchased?
Add the masses of all the products.
All masses are already in grams, so we can add them directly.
Total mass = Mass of flour + Mass of rice + Mass of saltThe total mass of the products purchased is .
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