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.
Expanded form of 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.
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 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.
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.
Jul 16, 24 02:20 AM
Jul 16, 24 01:36 AM
Jul 16, 24 12:17 AM
Jul 15, 24 03:22 PM
Jul 15, 24 03:17 PM
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.