Write a decimal that is equivalent 1.2
The Correct Answer and Explanation is:
The decimal equivalent of 1.2 is 1.2 itself.
Here’s a detailed explanation:
Understanding Decimals:
A decimal is a way of expressing numbers that are not whole numbers. It is based on the powers of 10, with each place value representing a fraction of a whole number. The number to the left of the decimal point represents whole numbers (ones, tens, etc.), and the digits to the right of the decimal point represent parts of a whole number, such as tenths, hundredths, thousandths, etc.
Breaking Down 1.2:
In the decimal 1.2, the number can be broken down as follows:
- The 1 before the decimal point represents one whole unit (1 × 1).
- The 2 after the decimal point is in the tenths place, which represents 2/10 or 0.2.
So, 1.2 is the same as saying:
[
1.2 = 1 + 0.2
]
This means that 1.2 is composed of one whole unit and two-tenths of another unit.
Conversion to Fraction:
To understand this decimal better, you can convert it into a fraction:
- The digit 2 in the tenths place is 2/10.
- Simplifying 2/10, you get 1/5.
Thus, 1.2 can be written as the mixed number 1 2/10 or, simplified further, 1 1/5.
Practical Use:
Decimals like 1.2 are commonly used in daily life, especially when measuring quantities, such as weight or volume, where exact values are needed. For example, if you’re buying 1.2 kilograms of apples, the 0.2 represents an extra part of a kilogram, helping to get a more precise amount.
So, while 1.2 itself is already in decimal form, its representation in different contexts (such as as a fraction) can be useful for various applications. In this case, the decimal 1.2 is fully expressed and equivalent to its decimal form without needing further conversion.