Part a) Convert 95 centimetres to metres.
To answer this question, we need to recall the conversion rate between centimetres and metres. One metre is equal to 100 centimetres. You can remember this because the prefix “cent” is often seen on words that relate to 100, such as a century, which is 100 years, or a centipede, which has 100 legs. We can represent this using a little diagram, like the one I’ve drawn.
To convert from metres to centimetres, we have to multiply by 100. And to convert from centimetres to metres, we need to divide by 100. So to convert 95 centimetres into a measurement in metres, we need to divide by 100. To divide a number by 100, we can keep the decimal point fixed and move all of the digits two places to the right. 95 centimetres is equivalent to 0.95 metres.
Part b) Convert 4.6 litres to millilitres.
Now I read this automatically when I read out the question, but that capital L, remember, represents litres. So to answer this question, we need to recall the conversion that exists between litres and millilitres. This time, it’s a conversion of 1000. There are 1000 millilitres in one litre. This means that, to convert from litres to millilitres, we multiply by 1000. And to convert the other way, from millilitres to litres, we divide by 1000.
Again, we can represent this using a diagram. So to convert 4.6 litres into millilitres, we multiply by 1000. To multiply a number by 1000, we can keep the decimal point fixed but move all of the digits three places to the left this time. We can then fill in the empty spaces before the decimal point with zeros. 4.6 litres is equivalent to 4600 millilitres.