Examples with solutions for Estimation: Sort into two groups

Exercise #1

Organise the following into two groups of values less than 12% and values greater than 12%.

11100,0.1,0.13,640,20% \frac{11}{100},0.1,0.13,\frac{6}{40},20\%

Video Solution

Step-by-Step Solution

12%=12100=0.12 12\%=\frac{12}{100}=0.12

Now we will convert all values into percentages and see which are greater and which are less than 12%.

640×2.52.5=15100=15% \frac{6}{40}\times\frac{2.5}{2.5}=\frac{15}{100}=15\%

11100=11% \frac{11}{100}=11\%

0.1=10100=10% 0.1=\frac{10}{100}=10\%

0.13=13100=13% 0.13=\frac{13}{100}=13\%

Now we can observe which are greater and less than 12%.

Answer

0.13,\frac{6}{40},20\%>12\%

\frac{11}{100},0.1<12\%

Exercise #2

Organise the following into parts larger than 12 \frac{1}{2} and parts smaller than12 \frac{1}{2} :

57%,49%,0.54,80%,57100 57\%,49\%,\text{0.54,80}\%,\frac{57}{100}

Video Solution

Answer

49\%<\frac{1}{2}

57\%,0.54,80\%,\frac{57}{100}>\frac{1}{2}

Exercise #3

Organise the following into two groups of values greater than 25% and values less than 25%:

1350,34,34%,24100,0.28 \frac{13}{50},\frac{3}{4},34\%,\frac{24}{100},0.28

Video Solution

Answer

\frac{13}{50},\frac{3}{4},34\%,0.28>25\%

\frac{24}{100}<25\%

Exercise #4

Organise the following into two groups of values smaller than 25 \frac{2}{5} and values larger than 52 \frac{5}{2} :

13,41%,0.38,2420,18100 \frac{1}{3},41\%,0.38,\frac{24}{20},\frac{18}{100}

Video Solution

Answer

\frac{1}{3},0.38,\frac{18}{100}<\frac{2}{5}

41\%,\frac{24}{20}>\frac{2}{5}

Exercise #5

Organise the following into two groups of parts greater than 60% and parts less than 60%:

0.7,67100,59100,0.2,45 0.7,\frac{67}{100},\frac{59}{100},0.2,\frac{4}{5}

Video Solution

Answer

0.2,\frac{59}{100}<60\%

0.7,\frac{67}{100},\frac{4}{5}>60\%

Exercise #6

Organise the following into two groups of parts greater than 20% and parts less than 20%:

1850,0.24,0.19,45%,28100 \frac{18}{50},0.24,0.19,45\%,\frac{28}{100}

Video Solution

Answer

\frac{18}{50},0.24,45\%,\frac{28}{100}>20\%

0.19<20\%

Exercise #7

Organise the following into two groups of parts greater than 15 \frac{1}{5} and parts less than 15: \frac{1}{5}:

5100,24%,50%,14,0.5 \frac{5}{100},24\%,50\%,\frac{1}{4},0.5

Video Solution

Answer

\frac{5}{100}<\frac{1}{5}

24\%,50\%,\frac{1}{4},0.5>\frac{1}{5}

Exercise #8

Organise the following values into two groups of those greater than 14% and those less than 14%:

0.1,620,640,1495,13 0.1,\frac{6}{20},\frac{6}{40},\frac{14}{95},\frac{1}{3}

Video Solution

Answer

\frac{1}{3},\frac{6}{40},\frac{6}{20}>14\%

\frac{14}{95},0.1<14\%

Exercise #9

Organise the following values into two groups of values less than 10% and values greater than 10%:

19%,0.9,0.09,19100,111 19\%,0.9,0.09,\frac{19}{100},\frac{1}{11}

Video Solution

Answer

0.09,\frac{1}{11}<10\%

0.9,\frac{19}{100},19\%>10\%

Exercise #10

Organise the values below into two groups of values greater than 110% and values less than 110%:

1.7,105100,1314,0.7,120100 1.7,\frac{105}{100},\frac{13}{14},0.7,\frac{120}{100}

Video Solution

Answer

\frac{120}{100},1.7>110\%

0.7,\frac{13}{14},\frac{105}{100}<110\%

Exercise #11

Organise the values below into two groups of values greater than 42 \frac{4}{2} and values less than 42 \frac{4}{2} :

1.3,12,150%,7412,0.5 1.3,\frac{1}{2},150\%,\frac{74}{12},0.5

Video Solution

Answer

1.3,\frac{1}{2},150\%,0.5<\frac{4}{2}

\frac{74}{12}>\frac{4}{2}