COMPARING FRACTIONS AND DECIMALS WORKSHEET

In the following exercises, order each pair of numbers, using < or >.

Solution

Problem 13 :

A butcher has four turkey left to sell. The butcher decides to display their weights in fractions of a kilograms

4   3/10  kg, 22/5 kg, 4  1/4 kg, 13/3 kg

Order the turkeys from lightest to heaviest ?

Solution

Problem 14 :

A farmer has to deliver two different weights of vegetables. There are 63 bags of carrots weighting 1/4 kg and 39 bags weighing 2/3 kg. Which set of boxes is heavier ?

Solution

Problem 14 :

A shop sells three different packs of Christmas cards.

a)  12 cards with 25% extra free $2.99

b)  Eight cards $1.80, 1/5 off marked price.

c) Eight cards $1.96, buy one, get the second half price.

What is the cheapest way to buy 16 chirstmas cards

Solution

Order the following numbers from least to greatest :

Problem 1 :

135%, 13.5, 8 3/5

Solution

Problem 2 :

1/6, 16.7%, 0.16

Solution

Problem 3 :

0.42, 4.2%, 2/5

Solution

Problem 4 :

3 1/3, 3.34, 300%

Solution

Problem 5 :

45%, 1/2, 0.6, 1

Solution

Problem 6 :

4, 0.8, 50%, 0

Solution

Problem 7 :

45%, 1/2, 0.045

Solution

Problem 8 :

125%, 1 1/2, 1.26

Solution

Problem 9 :

Which is least number of the following.

0.4, √0.09 and 1/2

Solution

Problem 10 :

Which of the following is greater ? or they are same.

a)  √(100 - 64)          b)  √100 - √64

Solution

Problem 11 :

Graph the numbers on the number line.

2.55, 9/5, √24, π, √9

Solution

Problem 12 :

Write it in order from greatest to least.

10/4, √10, 4.75, √16

Solution

Problem 12 :

Write it in order from greatest to least.

10/4, √10, 4.75, √16

Solution

Problem 14 :

Several shops are having sales price are reduced by 62.5%, 2/3, 75%, 1/2 and 7/10. Which list shows the price reductions from greatest to least ?

a)  75%, 62.5%, 1/2, 2/3, 7/10

b)  75%, 7/10, 2/3, 62.5%, 1/2

c)  75%, 7/10, 62.5%, 1/2, 2/3

d)  75%, 7/10, 62.5%, 2/3, 1/2

Solution

Problem 15 :

Which is greater ?

a) √0.25    b) √1/4       c) 0.233......

Solution

Answer Key

1)  135% < 8  3/5 < 13.5

2)  0.16 < 1/6 < 16.7%.

3)   0.42 > 2/5 > 4.2%.

4)  3.34 > 3 1/3 > 300%

5)   45% < 1/2 < 0.6 < 1

6)  0 < 50% < 0.8 < 4

7) 1/2 > 45% > 0.045

8)   1 1/2 > 1.26 > 125%

9)  0.3 is the least, then √0.09 is least.

10)  a is greater.

11)  

12)  4.75, √16, √10, 10/4

13)  -√104  < -10

14)  75%, 7/10, 2/3, 62.5%, 1/2

15)  2.33 is greater. option c is correct.

Problem 1 :

Place the following numbers in order from least to greatest :

-8.2, 0.4, -2 1/2, 2.4

Solution

Problem 2 :

Place a >, <, or = symbol on each line to compare the rational numbers below.

(i) 1.2  ___8/4  (ii) 6.05  ____6.05

Solution

Problem 3 :

Place the following numbers in order from greatest to least :

0.5, -5 1/9, -7.1, 0.9

Solution

Problem 4 :

Place a >, <, or = symbol on each line to compare the rational numbers below.

(i) 8.5 _____ 10/5  (ii) 10.2  _____10

Solution

Problem 5 :

Place the following numbers in order from least to greatest :

-2.4, -3 3/9, 9.5, 0.2

Solution

Problem 6 :

Place a >, <, or = symbol on each line to compare the rational numbers below.

(i) 1.4___-14/7  (ii) 6.8 _____ 8.6

Solution

Problem 7 :

Place the following numbers in order from greatest to least :

7.4, -4 5/10, 0.2, -7.4

Solution

Problem 8 :

Place the following numbers in order from least to greatest :

-34/4, 4, 0.7, -9.3

Solution

Problem 9 :

Place the following numbers in order from greatest to least :

0.3, 3.3, -3.3, -3

Solution

Problem 10 :

Place a >, <, or = symbol on each line to compare the rational numbers below.

(i)  8.5 ____-8.5   (ii) 0.2 ___0.5

Solution

Problem 11 :

Which of these numbers is the smallest?

a) 0.5       b)  0.0501      c)  0.051      d)  0.499       e) 0.49

Solution

Problem 12 :

Which of these fractions is equal to 0.8?

a) 1/8     b) 4/5      c)  0.8/10    d)  8/100     e)  5/4

Solution

Problem 13 :

A bag of rice contains 360 g. A special offer packet contains an extra 15%. Work out how much extra rice is in the special offer packet.

A bag of sugar contains 250 g. A special offer packet contains an extra 50% Work out how much extra sugar is in the special offer packet.

Which packet consist of more quantity ?

Solution

Problem 14 :

Mark all numbers that are bigger than 0.45

0.5, 0.6, 0.4, 0.08, 0.404

Solution

Problem 15 :

Which is larger?

a) 78%     b) 3/4     c) 0.74     d) 5/6

Solution

Problem 16 :

Which is larger?

a) 35%     b) 18/50     c) 0.375      d) 22/60

Solution

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