Presentation on theme: "Decimats I am learning to identify equivalent fractions and to name fractions as decimals. Equivalent means equal or the same."— Presentation transcript:
1DecimatsI am learning to identify equivalent fractions and to name fractions as decimals.Equivalent means equal or the same.
2Below is a sheet of paper that has been folded in half Below is a sheet of paper that has been folded in half. One half has been shaded red.is redNow I am going to fold the paper in half again.You can see it is now cut into quarters. 2 quarters of the paper is shaded red.You can see from this that is the same asThey are equivalent.Can you spot any pattern between these fractions?X 2The numerator is twice as big.X 2The denominator is twice as big.
3Below is a sheet of paper that has been folded into thirds Below is a sheet of paper that has been folded into thirds. One third has been shaded red.is redNow I am going to fold the paper two more times so that it is in ninths.You can see it is now cut into ninths. 3 ninths of the paper is shaded red.You can see from this that is the same asThey are equivalent.Can you spot any pattern between these fractions?X 3The numerator is three times as big.X 3The denominator is three times as big.
4Now lets try to work out how many tenths, hundredths and thousandths some fractions are equivalent to.of the shape below is red.How we could change this shape into tenths?By folding it in half you can see that is equivalent toX 2Now let’s change into hundredths.We can do this by splitting each of the tenths into ten pieces. That means the whole shape will be split into hundredths.So every tenth would look like this.There are 4 red tenths so 4 X 10 = 40X 2X 10
5Let’s go one step further and work out how many thousandths this is the same as. This wasThen we changed it intoThen we changed it into by splitting each piece into ten more pieces.If we split every hundredth into ten pieces we would then have made thousandths.There are 40 hundredths. If we split every one on these hundredths into ten pieces we would have 400 thousandths.40 X 10 = 400. so….X 2X 10X 10
6Notice how if you multiply the numerator and the denominator by the same amount you always get an equivalent fraction.This is helpful when you are trying to change a fraction into tenths, hundredths or thousandths so you can show it as a decimal.X20.6X40.08X50.45
7Now try these questions on your own. Click again when you have worked out all your answers.1)2)3)4)5)=6)7)8)9)10)=========Need some more practise? Try Pg30 & 31 of Teacher Tools Fractions, Decimals and Percentages Book Numeracy resources