Properties of Multiplication of Decimal Numbers

We will discuss here all the properties of multiplication of decimal numbers.

1. The product of a decimal and a whole number multiplied in any order remains the same.

For Example:

(i) 0.9 × 12 = 12 × 0.9 = 10.8

(ii) 1.1 × 30 = 30 × 1.1 = 33.0

(iii) 2.1 × 14 = 14 × 2.1 = 29.4

(iv) 1.8 × 11 = 11 × 1.8 = 19.8

(v) 0.7 × 17 = 17 × 0.7 = 11.9

2. The product of two decimal numbers remains the same, even if the order is changed.

For Example:

(i) 2.5 × 3.5 = 3.5 × 2.5 = 8.75

(ii) 1.4 × 0.8 = 0.8 × 1.4 = 1.12

(iii) 4.2 × 2.1 = 2.1 × 4.2 = 8.82

(iv) 0.5 × 1.5 = 1.5 × 0.5 = 0.75

(v) 3.7 × 1.9 = 1.9 × 3.7 = 7.03



3. The product of a decimal fraction and 1 is the decimal fraction itself.

For Example:

(i) 1.092 × 1 = 1.092

(ii) 1.002 × 1 = 1.002

(iii) 12.619 × 1 = 12.619

(iv) 2.519 × 1 = 2.519

(v) 0.127 × 1 = 0.127


4. The product of a decimal fraction and zero is zero.

For Example:

(i) 891.56 × 0 = 0

(ii) 1.009 × 0 = 0

(iii) 0.008 × 0 = 0

(iv) 42.19 × 0 = 0

(v) 16.35 × 0 = 0


5. While performing multiplication in decimals, the numbers can be taken in any order and the product remains the same.

For Example:

(i) 1.02 × (11.2 × 2.3)

= 1.02 × 25.76

= 26.2752

(1.02 × 2.3) × 11.2

= 2.346 × 11.2

= 26.2752

So the product of more than two decimals does not change if their grouping order is changed.

Therefore, 1.02 × (11.2 × 2.3) = (1.02 × 2.3) × 11.2


(ii) (1.20 × 0.3) × 1.18                   =                    0.3 × (1.18 × 1.20)

     0.36 × 1.18                               =                    0.3 × 1.416

     0.4248                                      =                    0.4248

Therefore, (1.20 × 0.3) × 1.18 = 0.3 × (1.18 × 1.20)

Since, we know the product of two decimals or more does not change if their grouping order is changed.


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.

Ordering Decimals

Comparison of Decimal Fractions.

Conversion of a Decimal Fraction into a Fractional Number.

Conversion of Fractions to Decimals Numbers.

Addition of Decimal Fractions.

Problems on Addition of Decimal Fractions

Subtraction of Decimal Fractions.

Problems on Subtraction of Decimal Fractions

Multiplication of a Decimal Numbers.

Multiplication of a Decimal by 10, 100, 1000

Multiplication of a Decimal by a Decimal.

Properties of Multiplication of Decimal Numbers.

Problems on Multiplication of Decimal Fractions

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.

Properties of Division of Decimal Numbers

Problems on Division of Decimal Fractions

Conversion of fraction to Decimal Fraction.

Simplification in Decimals.

Word Problems on Decimal.








5th Grade Numbers Page

5th Grade Math Problems

From Properties of Multiplication of Decimal Numbers 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. How to Do Long Division? | Method | Steps | Examples | Worksheets |Ans

    Apr 20, 25 11:46 AM

    Long Division and Short Division Forms
    As we know that the division is to distribute a given value or quantity into groups having equal values. In long division, values at the individual place (Thousands, Hundreds, Tens, Ones) are dividend…

    Read More

  2. Word Problems on Division | Examples on Word Problems on Division

    Apr 20, 25 11:17 AM

    Word Problem on Division
    Word problems on division for fourth grade students are solved here step by step. Consider the following examples on word problems involving division: 1. $5,876 are distributed equally among 26 men. H…

    Read More

  3. Subtraction of 4-Digit Numbers | Subtract Numbers with Four Digit

    Apr 20, 25 10:27 AM

    Properties of Subtraction of 4-Digit Numbers
    We will learn about the subtraction of 4-digit numbers (without borrowing and with borrowing). We know when one number is subtracted from another number the result obtained is called the difference.

    Read More

  4. Subtraction without Regrouping |4-Digit, 5-Digit & 6-Digit Subtraction

    Apr 20, 25 10:25 AM

    Subtraction without Regrouping
    We will learn subtracting 4-digit, 5-digit and 6-digit numbers without regrouping. We first arrange the numbers one below the other in place value columns and then subtract the digits under each colum…

    Read More

  5. Worksheets on Missing Numbers from 1 to 20 | Counting Missing Numbers

    Apr 20, 25 10:17 AM

    Printable worksheets on missing numbers
    Printable worksheets on missing numbers from 1 to 20 help the kids to practice counting of the numbers.

    Read More