Decimals

There are 18 NRICH Mathematical resources connected to Decimals
Terminating or not
problem
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Terminating or not

Age
11 to 14
Challenge level
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Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?
Round the Dice Decimals 1
problem
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Round the dice decimals 1

Age
7 to 11
Challenge level
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Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

Round the Dice Decimals 2
problem
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Round the dice decimals 2

Age
7 to 11
Challenge level
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What happens when you round these numbers to the nearest whole number?

Spiralling Decimals
game
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Spiralling decimals

Take turns to place a decimal number on the spiral. Can you get three consecutive numbers?

Forgot the Numbers
problem
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Forgot the numbers

Age
7 to 11
Challenge level
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On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?

Shopping Basket
problem
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Shopping basket

Age
11 to 16
Challenge level
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The items in the shopping basket add and multiply to give the same amount. What could their prices be?
Tiny Nines
problem
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Tiny nines

Age
14 to 16
Challenge level
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What do you notice about these families of recurring decimals?
Repetitiously
problem
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Repetitiously

Age
14 to 16
Challenge level
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Can you express every recurring decimal as a fraction?
Round and round and round
problem
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Round and round and round

Age
11 to 14
Challenge level
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Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 ÷ 360. How did this help?