When we want to express a number in decimal form, we need to break it down into its fractional components. For example, to express the number 1.5 as a decimal, we need to think of it as being made up of a whole number (1) and a fraction (0.5).
To convert the fraction 0.5 to a decimal, we need to divide it by a power of 10. Specifically, we can divide 0.5 by 10 to the power of 1 (since 0.5 has one digit after the decimal point) to get:
0.5 ÷ 10^1 = 0.05
Therefore, we now have:
1.5 = 1 + 0.5 = 1 + 0.05 (in decimal form) = 1.05
In other words, 1.5 as a decimal is 1.05.
It’s important to note that decimals can also be represented as percentages or fractions. In the case of 1.5, we can express it as:
- A percentage: 150%
- A fraction: 3/2
To understand why 1.5 is equivalent to 150%, we can think of 150% as 150 out of 100. This means that 150% is equal to 1.5 as a decimal, since 150 divided by 100 is equal to 1.5.
To see why 1.5 is equivalent to 3/2 as a fraction, we can think of 1.5 as being made up of a numerator (3) and a denominator (2). This means that 1.5 can be written as:
1.5 = 3/2
To verify this, we can convert 3/2 to a decimal:
3 ÷ 2 = 1.5
Therefore, 1.5 as a fraction is indeed 3/2.
In conclusion, when we want to express a number in decimal form, we need to break it down into its fractional components. For 1.5, this means thinking of it as 1 and 0.5. To convert 0.5 to a decimal, we divide it by 10 to the power of 1, which gives us 0.05. Therefore, 1.5 as a decimal is 1.05. It’s also important to note that decimals can be represented as percentages or fractions. In the case of 1.5, we can express it as 150% or 3/2. These different representations can be useful in different situations, depending on the context in which we are working.