Question

Alice and her friends tried to find the expanded form of numbers. Find who gave the correct solution of the expanded form of a number.

• A. Alice: 320 = 300 + 2
• B. Lisa: 234 = 2 + 3 + 4
• C. Mira: 456 = 40 + 5 + 6
• D. Angel: 123 = 100 + 20 + 3

Answer 1

The correct option is D Angel: 123 = 100 + 20 + 3

Each number is the sum of all the place values of its digits.

Alice said that 320 = 300 + 2
The expanded form of 320 = 3 $\times$ 100 + 2 $\times$ 10 + 0
= 300 + 20 + 0
Here, LHS $\ne$ RHS
Hence, this option does not give the correct expanded form of the number.

Lisa said that 234 = 2 + 3 + 4
The place value of 2 = 2 $\times$ 100 = 200
The place value of 3 = 3 $\times$ 10 = 30
The expanded form of 234 = 200 + 30 + 4
Here, LHS $\ne$ RHS
Hence, this option does not give the correct expanded form of the number.

Mira said that 456 = 40 + 5 + 6
The place value of 4 = 4 $\times$ 100 = 400
The place value of 5 = 5 $\times$ 10 = 50
The place value of 6 = 6
The expanded form of 456 = 400 + 50 + 6
Here, LHS $\ne$ RHS
Hence, this option does not give the correct expanded form of the number.

Angel said that 123 = 100 + 20 + 3
The place value of 1 = 1 $\times$ 100 = 100
The place value of 2 = 2 $\times$ 10 = 20
The place value of 3 = 3
The expanded form of 123 = 100 + 20 + 3
Here, LHS = RHS
The expanded form and the standard form of the number are equal.
Hence, Angel gave the correct expanded form for the number.