smc-4461-50-Recurring Decimals

Decimals, SM-Bank 061 MC

What is the answer to `8.8 div 0.4` ?

`0.022`
`0.22`
`2.2`
`22`

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`D`

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`8.8 div 0.4`	`= 88 div 4\ \ text{(Multiplying by 10 to remove decimals from the divisor)}`
	`=22`

`=> D`

Decimals, SM-Bank 048

Arrange these decimals and fractions in ascending order. (2 marks)

`9/10 , 0.09 , 91/100 , 0.099, 10/11`

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`0.09, 0.099 , 9/10 , 10/11 , 91/100`

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`text(Converting all to decimals)`

`=> 9/10 = 0.9`

`=> 91/100 = 0.91`

`=> 10/11 = 0.\overline{9090}`

`:.\ text(Descending order is )`

`0.09 , 0.099 , 0.9 , 0.\overline{9090} , 0.91=> 0.09, 0.099 , 9/10 , 10/11 , 91/100`

Decimals, SM-Bank 047

Arrange these decimals and fractions in descending order. (2 marks)

`1/4 , 0.21 , 4/5 , 0.205, 1/3`

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`4/5 , 1/3 , 1/4 , 0.21 , 0.205`

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`text(Converting all to decimals)`

`=> 1/4 = 0.25`

`=> 4/5 = 0.8`

`=> 1/3 = 0.\dot{3}`

`:.\ text(Descending order is )`

`0.8 , 0.\dot{3} , 0.25 , 0.21 , 0.205 => 4/5 , 1/3 , 1/4 , 0.21 , 0.205`

Decimals, SM-Bank 046

Express `5/12` as a recurring decimal. (1 mark)

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`0.\41dot{6}`

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`text(Using the division algorithm)`

`:.\ 5/12`	`= 0.4166…`
	`= 0.\41dot{6}`

Decimals, SM-Bank 045

Express `4/9` as a recurring decimal. (1 mark)

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`0.\dot{4}`

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`text(Using the division algorithm)`

`:.\ 4/9`	`= 0.4444…`
	`= 0.\dot{4}`

Decimals, SM-Bank 044

Express `2/11` as a recurring decimal. (1 mark)

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`0.\overline{18}`

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`text(Using the division algorithm)`

`:.\ 2/11`	`= 0.1818…`
	`= 0.\overline{18}`

Decimals, SM-Bank 043

Express `1/3` as a recurring decimal. (1 mark)

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`0.\dot{3}`

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`text(Using the division algorithm)`

`:.\ 1/3`	`= 0.3333…`
	`= 0.\dot{3}`