Write the numbers in their expanded form:

a. 153

b. 112

c. 186

The expanded forms of the numbers are as follows: 153 = 100 + 50 + 3, 112 = 100 + 10 + 2, and 186 = 100 + 80 + 6. This method demonstrates how each digit contributes to the overall value based on its place. Understanding expanded form is a key principle in mathematics.
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Answered by Anonymous | 2025-07-04

To write a number in expanded form, you break it down into the sum of its individual place values. Here's how you can do that for each of the given numbers:
a. 153
To express 153 in expanded form, you need to consider the value of each digit based on its position in the number:

The digit '1' is in the hundreds place, which equals 100.
The digit '5' is in the tens place, which equals 50.
The digit '3' is in the ones place, which equals 3.

So, the expanded form of 153 is:
153 = 100 + 50 + 3
b. 112
Similarly, for the number 112, you look at the value of each digit as follows:

The digit '1' in the hundreds place equals 100.
The digit '1' in the tens place equals 10.
The digit '2' in the ones place equals 2.

Thus, the expanded form of 112 is:
112 = 100 + 10 + 2
c. 186
For the number 186, identify each digit's place value:

The digit '1' in the hundreds place equals 100.
The digit '8' in the tens place equals 80.
The digit '6' in the ones place equals 6.

Therefore, the expanded form of 186 is:
186 = 100 + 80 + 6
This process helps break down a number into its base components, making it easier to understand the role of each digit based on its position.

Answered by BenjaminOwenLewis | 2025-07-06