
What is the expanded form of 100?
Answer
509.7k+ views
Hint: Here we are supposed to write the expanded form of 100. Expanded form of a number means splitting up the given number in one, tens and hundreds. That means we have to split 100 in ones, tens and hundreds. Steps to write the expanded form of 100 are discussed below.
Complete step-by-step answer:
In this question, we are given a number and we have to express it in the expanded form.
First of all, let us see what expanded form is.
The expanded form of a number helps us to determine the place value of each digit of the given number. That is the expansion of the numbers is based on the place value.
It is used to split a number and represent it in units, hundreds and thousands form.
For example, the expanded form of 11 is 10 +1.
Steps to write a number in expanded form:
Step 1:
Write the standard form of the number.
$ \Rightarrow 100 $
Step 2:
Identify the place value of the given number.
1 – Hundreds
0 – Tens
0 – ones
Step 3:
Multiply the given number by its place value.
$ 1 \times 100 $ , $ 0 \times 10 $ , $ 0 \times 1 $
Step 4:
Represent it as a sum.
$ 1 \times 100 $ + $ 0 \times 10 $ + $ 0 \times 1 $
Hence, the expanded form of 100 is $ 100 + 0 + 0 $ .
So, the correct answer is “ $ 100 + 0 + 0 $ .”.
Note: We can also represent 100 in expanded exponential form. Exponential form means the place value of digit is represented in terms of power of 10. That one place is represented by $ {10^0} $ , tens place is represented by $ {10^1} $ and hundreds place is represented by $ {10^2} $ .
$ \Rightarrow $ Expanded exponential form of 100 $ = 1 \times {10^2} + 0 \times {10^1} + 0 \times {10^0} $
Complete step-by-step answer:
In this question, we are given a number and we have to express it in the expanded form.
First of all, let us see what expanded form is.
The expanded form of a number helps us to determine the place value of each digit of the given number. That is the expansion of the numbers is based on the place value.
It is used to split a number and represent it in units, hundreds and thousands form.
For example, the expanded form of 11 is 10 +1.
Steps to write a number in expanded form:
Step 1:
Write the standard form of the number.
$ \Rightarrow 100 $
Step 2:
Identify the place value of the given number.
1 – Hundreds
0 – Tens
0 – ones
Step 3:
Multiply the given number by its place value.
$ 1 \times 100 $ , $ 0 \times 10 $ , $ 0 \times 1 $
Step 4:
Represent it as a sum.
$ 1 \times 100 $ + $ 0 \times 10 $ + $ 0 \times 1 $
Hence, the expanded form of 100 is $ 100 + 0 + 0 $ .
So, the correct answer is “ $ 100 + 0 + 0 $ .”.
Note: We can also represent 100 in expanded exponential form. Exponential form means the place value of digit is represented in terms of power of 10. That one place is represented by $ {10^0} $ , tens place is represented by $ {10^1} $ and hundreds place is represented by $ {10^2} $ .
$ \Rightarrow $ Expanded exponential form of 100 $ = 1 \times {10^2} + 0 \times {10^1} + 0 \times {10^0} $
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