Final answer:
The expanded form of the numbers helps to determine the place value of each digit in the given number. It means that the expansion of numbers is based on the place value. 925 can be written in expanded form as 900 + 20 + 5.
Step-by-step explanation:
Expanded form is a way to write a number as the sum of its place values. To write 925 in expanded form, we can break it down into: 900 + 20 + 5. Therefore, the correct option is a) 900 + 20 + 5.
The expanded form of the numbers helps to determine the place value of each digit in the given number. It means that the expansion of numbers is based on the place value. The expanded form splits the number, and it represents the number in units, tens, hundreds and thousands form. For example, the expanded form of the number 1572 is 1000+500+70+2.
The decimal numbers can also be written in the expanded form. While writing the decimals in the expanded form, we need to multiply each decimal digit with the increasing exponent values of 1/10. Using the place value chart, the digits after the decimal points are represented as tenth (1/10), hundredth (1/100), thousandth (1/1000) and so on.
Now, let us consider the example 83.34.
First, write the expanded form for the number before the decimal point. (i.e.) 83
The expanded form of 83 is 80+3.
Now, the expanded form 34 is written as 3(1/10) + 4(1/100) [As 3 represents the tenth position and 4 represents the hundredth position]
Thus, the expanded form of 83.34 is written as 80+3+(3/10)+(4/100)
The above-expanded form can also be represented as 80+3+0.3+0.04.