Processing math: 100%

Simplification in Decimals

Simplification in decimals can be done with the help of PEMDAS Rule.

PEMDAS Rule Table

From the above chart we can observe that first we have to work on "P or Parentheses" and then on "E or Exponents", then from left to right doing either "Multiplication" or "Division" as we find them in the question.

Then from left to right doing either "Addition" or "Subtraction" as we find them we need to solve them accordingly.


Let us consider some of the examples on simplification in decimals:

1. Solve 5.8 – 2.7 + 1.4 – 1.6

Solution:

We first group the numbers having same signs and then add them. Subtract the sum of the numbers with – sign from the sum of the numbers with + sign.

First step: Add 5.8, 1.4 and 2.7 and 1.6

Decimal Addition











Second step: Now subtract 4.3 from 7.2

Decimal Subtraction








Hence, 5.8 – 2.7 + 1.4 – 1.6 = 2.9


2. 4.5 + 3.7 – 3.6 ÷ 1.2

Solution:

4.5 + 3.7 – 3.6 ÷ 1.2

= 4.5 + 3.7 – 3.0

= 8.2 – 3.0

= 5.2

Answers: 5.2



3. 3 ÷ 16 + 1.2 × 14 - {15 + (1 - 0.8) }


Solution:

3 ÷ 16 + 1.2 × 14 - {15 + (1 - 0.8) }

3 ÷ 16 + 1.2 × 14 - {15 + 1 - 0.8}

= 3 ÷ 16 + 1.2 × 14 - {1+54.05}

= 3 ÷ 16 + 1.2 × 14 - {645}

= 3 ÷ 16 + 1.2 × 14 - {25}

= 3 ÷ 16 + 1.2 × 14 - 25

= 316 + 1.2425

= 15+243280

= 780

Simplification in Decimals










= 0.0875

Answers: 0.0875

Decimal

Decimal Place Value Chart

Expanded form of Decimal Fractions

Like Decimal Fractions

Unlike Decimal Fraction

Equivalent Decimal Fractions

Changing Unlike to Like Decimal Fractions

Comparison of Decimal Fractions

Conversion of a Decimal Fraction into a Fractional Number

Conversion of Fractions to Decimals Numbers

Addition of Decimal Fractions

Subtraction of Decimal Fractions

Multiplication of a Decimal Numbers

Multiplication of a Decimal by a Decimal

Properties of Multiplication of Decimal Numbers

Division of a Decimal by a Whole Number

Division of Decimal Fractions

Division of Decimal Fractions by Multiples

Division of a Decimal by a Decimal

Division of a whole number by a Decimal

Conversion of fraction to Decimal Fraction

Simplification in Decimals

Word Problems on Decimal





5th Grade Numbers

5th Grade Math Problems

From Simplification in Decimals to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Worksheet on Area, Perimeter and Volume | Square, Rectangle, Cube,Cubo

    Jul 28, 25 03:00 AM

    Volume of a Cuboids
    In this worksheet on area perimeter and volume you will get different types of questions on find the perimeter of a rectangle, find the perimeter of a square, find the area of a rectangle, find the ar…

    Read More

  2. Worksheet on Volume of a Cube and Cuboid |The Volume of a RectangleBox

    Jul 25, 25 03:15 AM

    Volume of a Cube and Cuboid
    We will practice the questions given in the worksheet on volume of a cube and cuboid. We know the volume of an object is the amount of space occupied by the object.1. Fill in the blanks:

    Read More

  3. Volume of a Cuboid | Volume of Cuboid Formula | How to Find the Volume

    Jul 24, 25 03:46 PM

    Volume of Cuboid
    Cuboid is a solid box whose every surface is a rectangle of same area or different areas. A cuboid will have a length, breadth and height. Hence we can conclude that volume is 3 dimensional. To measur…

    Read More

  4. Volume of a Cube | How to Calculate the Volume of a Cube? | Examples

    Jul 23, 25 11:37 AM

    Volume of a Cube
    A cube is a solid box whose every surface is a square of same area. Take an empty box with open top in the shape of a cube whose each edge is 2 cm. Now fit cubes of edges 1 cm in it. From the figure i…

    Read More

  5. 5th Grade Volume | Units of Volume | Measurement of Volume|Cubic Units

    Jul 20, 25 10:22 AM

    Cubes in Cuboid
    Volume is the amount of space enclosed by an object or shape, how much 3-dimensional space (length, height, and width) it occupies. A flat shape like triangle, square and rectangle occupies surface on…

    Read More