Comparison of decimal fractions - Examples, Exercises and Solutions

Comparing decimal numbers is done using the system: Digit-by-digit analysis

First step:

Analyze the whole numbers: the decimal number with the larger whole number will be the greater of the two.

Second step:

Analyze the digits that come after the decimal point (only in the case where the whole numbers are equal)
We will move from digit to digit (starting with the tenths, then the hundredths, and so on)
If they continue to be equal, we will proceed with the comparison of the following digits.
If they are different, we will be able to determine which number is larger.

Suggested Topics to Practice in Advance

  1. Converting a decimal fraction to a mixed number
  2. What is a Decimal Number?
  3. Decimal Fractions
  4. Reducing and Expanding Decimal Numbers
  5. Addition and Subtraction of Decimal Numbers

Practice Comparison of decimal fractions

Exercise #1

Which decimal number is greater?

Video Solution

Answer

0.25 0.25

Exercise #2

Are they the same numbers?

0.8=?0.88 0.8\stackrel{?}{=}0.88

Video Solution

Answer

No

Exercise #3

Are they the same numbers?

0.05=?0.5 0.05\stackrel{?}{=}0.5

Video Solution

Answer

No

Exercise #4

Are they the same numbers?

0.23=?0.32 0.23\stackrel{?}{=}0.32

Video Solution

Answer

No

Exercise #5

Are they the same numbers?

0.22=?0.2 0.22\stackrel{?}{=}0.2

Video Solution

Answer

No

Exercise #1

Are they the same numbers?

0.1=?0.10 0.1\stackrel{?}{=}0.10

Video Solution

Answer

Yes

Exercise #2

Are they the same numbers?

0.25=?0.250 0.25\stackrel{?}{=}0.250

Video Solution

Answer

Yes

Exercise #3

Are they the same numbers?

0.6=?0.60 0.6\stackrel{?}{=}0.60

Video Solution

Answer

Yes

Exercise #4

Are they the same numbers?

0.5=?0.50 0.5\stackrel{?}{=}0.50

Video Solution

Answer

Yes

Exercise #5

Are they the same numbers?

0.02=?0.002 0.02\stackrel{?}{=}0.002

Video Solution

Answer

No

Exercise #1

Which decimal number is greater?

Video Solution

Answer

0.34

Exercise #2

Which decimal number is greater?

Video Solution

Answer

0.2 0.2

Exercise #3

Which decimal number is greater?

Video Solution

Answer

0.25 0.25

Exercise #4

Which decimal number is greater?

Video Solution

Answer

0.26 0.26

Exercise #5

Which decimal number is greater?

Video Solution

Answer

0.3 0.3

Topics learned in later sections

  1. Converting Decimals to Fractions