0.1 is 1/10 of 0.01: True or False?
In mathematics, fractions and decimals are two different ways to represent numbers. Fractions are represented as a ratio of two numbers, while decimals are represented as a number with a fractional part. In this article, we will explore the statement "0.1 is 1/10 of 0.01" and determine whether it is true or false.
Understanding the Statement
The statement "0.1 is 1/10 of 0.01" can be broken down into two parts:
- 0.1: a decimal number
- 1/10 of 0.01: a fraction of a decimal number
To understand the statement, we need to convert the fraction "1/10" to a decimal and then multiply it with 0.01.
Converting the Fraction to a Decimal
The fraction "1/10" can be converted to a decimal by dividing the numerator (1) by the denominator (10).
1 ÷ 10 = 0.1
So, the fraction "1/10" is equal to the decimal 0.1.
Multiplying 0.01 by 0.1
Now, let's multiply 0.01 by 0.1.
0.01 × 0.1 = 0.001
Evaluating the Statement
The original statement says "0.1 is 1/10 of 0.01". However, we have just shown that 1/10 of 0.01 is equal to 0.001, not 0.1.
Therefore, the statement "0.1 is 1/10 of 0.01" is FALSE.
