# 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.

Comparison of Decimal Fractions.

Conversion of a Decimal Fraction into a Fractional Number.

Conversion of Fractions to Decimals Numbers.

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.

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.

## Recent Articles

1. ### Worksheet on Word Problems on Fractions | Fraction Word Problems | Ans

Jul 16, 24 02:20 AM

In worksheet on word problems on fractions we will solve different types of word problems on multiplication of fractions, word problems on division of fractions etc... 1. How many one-fifths

2. ### Word Problems on Fraction | Math Fraction Word Problems |Fraction Math

Jul 16, 24 01:36 AM

In word problems on fraction we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers.

3. ### Worksheet on Add and Subtract Fractions | Word Problems | Fractions

Jul 16, 24 12:17 AM

Recall the topic carefully and practice the questions given in the math worksheet on add and subtract fractions. The question mainly covers addition with the help of a fraction number line, subtractio…

4. ### Comparison of Like Fractions | Comparing Fractions | Like Fractions

Jul 15, 24 03:22 PM

Any two like fractions can be compared by comparing their numerators. The fraction with larger numerator is greater than the fraction with smaller numerator, for example $$\frac{7}{13}$$ > \(\frac{2…