To multiply a decimal number by 102, move the decimal point

two digits to the right

Step-by-step explanation:

When multiplying a decimal by 102 you would need to move the decimal point two digits to the right. This is because we are multiplying by a hundred number. When multiplying any whole positive number by a decimal, we need to move the decimal point to the right one less than the amount of digits that the positive whole number has. For example, a thousand (1000) has 4 digits so we move the decimal point of the product to the right by 3.

Examples:

102 * 0.02 = 2.04

1000 * 0.02 = 20

10000 * 0.02 = 200

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x