# Online Pre-Algebra Tutoring : Decimal numbers

Math is essential in everyday life, for everything we see and do needs numbers, logic, calculation, application, and analytical thinking. With eTutorWorld expertÂ andÂ experienced Math tutors, students learn theÂ mathÂ topicsÂ gradually and effortlessly. Each tutoring session is taught using state-of-the-art technology, a student centric approach, individualized teaching and assessments. Be itÂ Real NumbersÂ or Rational Numbers, Constructions or Measurement, TrianglesÂ orÂ Quadrilaterals, Scatter plotsÂ or theÂ stem-and-leaf plotÂ students are able to grasp these concepts quickly with the help of a sharedÂ whiteboardÂ andÂ audio conferencingÂ during theÂ live tutoring session.

## Learn Â Decimal Numbers Â from Certified Online Pre-Algebra Tutor

Decimal numbers are compared in the same way as whole numbers thatÂ isÂ by comparing the different place values from left to right. When we compare twoÂ decimalÂ numbers. One number is either less than **(<)** , greater than **(>)** or equal to **(=)** the other number.

### The following steps will help us to compare the decimal numbers:

**A. **The first step is toÂ compare the whole numbers to the left of the decimal pointÂ starting from the tens place. Decimal with the greater whole number is greater.

**B. **If the whole number part is the same, then compare the digit at the tenths place. The decimal with the greater tenths digit is greater.

**C.** If the whole number part and the digit in the tenths place are the same, then compare the digit at the hundredths place and so on.

### Letâ€™s understand with an example:

**1. Compare 53.14 and 53.67**

**Solution:**

In 53.14 and 53.67, the whole number part is the same, i.e. 53.

In 53.14, the decimal part is .**14** and the digit in the tenths place is **1**.

In 53.67, the decimal part is **.67** and the digit in the tenths place is **6**.

But **6>1.Â **Therefore, **53.67 > 53.14**

### Check Point:

a)Compare 81.34 and 81.37

b)Which is greater of 58.35 and 59.35?

c)Compare 4.997 and 4.979

d)Ronald and Cindy had a contest to see whose airplane can fly the farthest. Ronaldâ€™s went 12.6 meters and Cindyâ€™s went 12.245 meters. Who won the contest?

e)Mrs.Sanders bought two pumpkins. The first one weighed 3.07 kilograms, the second one weighed 3.017 kilograms .Which pumpkin weighed the least?

### Answer key

a)81.34 < 81.37

b)59.35 > 58.35

c)4.997 > 4.979

d)Ronald won the race. 12.6 > 12.245

e)The second one weighed the least. 3.017 < 3.07

Grab the eTutorWorld advantage and help her to not only master these valuable skills but also have the confidence required to succeed in grade school and beyond. Let your child learn from our highly experienced math tutors for all grades 3 to 12.

**No credit card is required, nor are you under any obligation to make a purchase. Just schedule the FREE TRIAL lesson to meet a tutor and get help on any topic you want! Get access to hundreds of math practice worksheets!**

**People have also searched for:**