pls explain expanded form of decimals with an example
Answers
Answer:
For a decimal number, each of the decimal digits is written as an exponent of one-tenth. The decimal 0.436 can be written in expanded form as 0.436 = 4 × (1/10) + 3 × (1/10)2 + 6 ×(1/10)3 = 4 × (1/10) + 3 × (1/100) + 6 ×(1/1000) = 0.4 + 0.03 + 0.006.
Step-by-step explanation:
When writing decimals in expanded form, each number is written according to its place value. This is accomplished by multiplying each number by its place value and then summing the results. Consider the following scenario: 2.435. In English, this is two and four hundred thirty-five thousandths of a percent. Every decimal digit is written as a one-tenth exponent for a decimal integer. In extended form, the decimal 0.436 can be represented as 0.436 = 4 (1/10) + 3 (1/10). (1/10) = 2 + 6 3 = 0.4 + 0.03 + 0.006. 3 = 4 (1/10) + 3 (1/100) + 6 (1/1000) = 0.4 + 0.03 + 0.006.