Multiply by 10, 100 and 1000

A Multiply by 10, 100 and 1000 can be done in a practical and direct way, without having to create an account and use the multiplication algorithm.

Let's show how this is done by considering two cases: multiplication by natural numbers and multiplication by decimal number.

Multiplying a natural number by 10, 100 and 1000

Multiply by 10: the result of multiplying a natural number by 10, is the number itself plus a zero on the right.

Examples:

1 × 10 = 10
2 × 10 = 20
3 × 10 = 30
10 × 10 = 100
25 × 10 = 250
218 × 10 = 2180
490 × 10 = 4900
1000 × 10 = 10000

Multiply by 100: the result of multiplying a natural number by 100, is the number itself plus two zeros on the right.

Examples:

1 × 100 = 100
2 × 100 = 200
3 × 100 = 300
10 × 100 = 1000
25 × 100 = 2500
218 × 100 = 21800
490 × 100 = 49000
1000 × 100 = 100000

Multiply by 1000: the result of multiplying a natural number by 1000, is the number itself plus three zeros on the right.

Examples:

1 × 1000 = 1000
2 × 1000 = 2000
3 × 1000 = 3000
10 × 1000 = 10000
25 × 1000 = 25000
218 × 1000 = 218000
490 × 1000 = 490000
1000 × 1000 = 1000000

Multiplying a decimal by 10, 100 and 1000

Multiply by 10: the result of multiplying a decimal number by 10, is the number itself with the decimal point shifted one place to the right.

Examples:

1,32 × 10 = 13,2
25,91 × 10 = 259,1
17,90 × 10 =179
4,3 × 10 = 43
59,4 × 10 = 594
0,18 × 10 = 1,8
0,01 × 10 = 0,1
0,5 × 10 = 5

Multiply by 100: the result of multiplying a decimal number by 100, is the number itself with the decimal point shifted two places to the right.

Examples:

1,312 × 100 = 131,2
25,918 × 100 = 2591,8
17,90 × 100 =1790
4,31 × 100 = 431
59,4 × 100 = 5940
0,189 × 100 = 18,9
0,01 × 100 = 1
0,5 × 100 = 50

Multiply by 1000: the result of multiplying a decimal number by 1000, is the number itself with the decimal point shifted three places to the right.

Examples:

1,3127 × 1000 = 1312,7
25,9183 × 1000 = 25918,3
0,905 × 1000 = 905
4,31 × 1000 = 4310
0,0004 × 1000 = 0,4
0,0189 × 1000 = 18,9
0,01 × 1000 = 10
0,5 × 1000 = 500

You may also be interested:

• multiplication properties
• Multiplication or “times” tables – Discover the benefits of learning
• Division of Decimal Numbers - See how to divide numbers with a comma
• Adding Decimal Numbers