Answer :
To write the number
$$124,\!750,\!000$$
in expanded form, we express each digit multiplied by its corresponding place value.
Step 1: Identify the place values of each digit in the number:
- The digit in the hundred‐million place is 1, so it is $1 \times 100,\!000,\!000 = 100,\!000,\!000$.
- The digit in the ten‐million place is 2, so it is $2 \times 10,\!000,\!000 = 20,\!000,\!000$.
- The digit in the million place is 4, so it is $4 \times 1,\!000,\!000 = 4,\!000,\!000$.
- The digit in the hundred‐thousand place is 7, so it is $7 \times 100,\!000 = 700,\!000$.
- The digit in the ten‐thousand place is 5, so it is $5 \times 10,\!000 = 50,\!000$.
- The remaining digits (all zeros) in the thousands, hundreds, tens, and ones places add $0$ each, so they do not change the value.
Step 2: Combine these values to obtain the expanded form:
$$124,\!750,\!000 = 100,\!000,\!000 + 20,\!000,\!000 + 4,\!000,\!000 + 700,\!000 + 50,\!000.$$
This matches option B.
Thus, the correct answer is option B.
$$124,\!750,\!000$$
in expanded form, we express each digit multiplied by its corresponding place value.
Step 1: Identify the place values of each digit in the number:
- The digit in the hundred‐million place is 1, so it is $1 \times 100,\!000,\!000 = 100,\!000,\!000$.
- The digit in the ten‐million place is 2, so it is $2 \times 10,\!000,\!000 = 20,\!000,\!000$.
- The digit in the million place is 4, so it is $4 \times 1,\!000,\!000 = 4,\!000,\!000$.
- The digit in the hundred‐thousand place is 7, so it is $7 \times 100,\!000 = 700,\!000$.
- The digit in the ten‐thousand place is 5, so it is $5 \times 10,\!000 = 50,\!000$.
- The remaining digits (all zeros) in the thousands, hundreds, tens, and ones places add $0$ each, so they do not change the value.
Step 2: Combine these values to obtain the expanded form:
$$124,\!750,\!000 = 100,\!000,\!000 + 20,\!000,\!000 + 4,\!000,\!000 + 700,\!000 + 50,\!000.$$
This matches option B.
Thus, the correct answer is option B.
