Tag: dividing decimals

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Multiple choice maths calculating and mental strategies 3 written methods dividing decimals division of decimals

3 tenth 5 thousandths is written as

  1. 35.00

  2. 0.35

  3. 3.5

  4. 0.305
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The first decimal digit from the decimal point is the tenth, the second decimal digit from the decimal point is the hundredth and the third decimal digit from the decimal point is the thousandths digit. 


Read the whole set of three decimal digits as a number, and say, "tenths", "hundredths" and “thousandths.” 0.305 has 3 tenths, 0 hundredths, and 5 thousandths. While 0.305 is the sum of 3/10, 0/100, and 5/1000, it is also 305/1000.

So option D is the correct answer.

Multiple choice maths calculating and mental strategies 3 written methods dividing decimals division of decimals

A bar over a sequence of digits in a decimal indicates that the sequence repeats indefinitely. What is the value of $\displaystyle \left( { 10 }^{ 4 }-{ 10 }^{ 2 } \right) \left( 0.00\overline { 12 }  \right) $

  1. 0
  2. $\displaystyle 0.\overline { 12 } $

  3. 1.2

  4. 10

  5. 12
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

$\displaystyle \left( { 10 }^{ 4 }-{ 10 }^{ 2 } \right) \left( 0.00\overline { 12 }  \right) $

= $ 9900 \times $ $0.00\overline{12}$
= $ 99 $ $\times$ $0.\overline{12}$..................(1)
Also, we know that
$ 0.\overline{12} $ = X
$ 12.\overline{12}$= 100X
Thus, 99X = 12 or X = $\cfrac{12}{99}$
So, (1) becomes
$99 \times \cfrac{12}{99} = 12$ So, option E