6 x 104
Expanded Notation of 2784 = (2 x 103) + (7 x 102) + (8 x 101) + (4 x 100).
In expanded notation using powers of ten, 250,000 can be expressed as (2 \times 10^5 + 5 \times 10^4 + 0 \times 10^3 + 0 \times 10^2 + 0 \times 10^1 + 0 \times 10^0). Simplifying this, it becomes (2 \times 100,000 + 5 \times 10,000). Thus, the expanded form is (200,000 + 50,000).
To express a number in expanded notation, you first need to divide it by a power of 10 such that the units is the greatest place value. In this case, you would divide by 100 to get 8.523. The next step is to add that power of ten to the sum as a multiplication. We use 100, which is the second power of 10. This can be written as 102. Thus 852.3 can be written in expanded notation as 8.523x102
144 can be written as 1.44 × 102 or in expanded notation using exponents as: (1 x 102) + (4 x 101) + (4 x 100)
Expanded Notation of 1,294 = (1 x 103) + (2 x 102) + (9 x 101) + (4 x 100)
Expanded Notation of 80 = (8 x 101) + (0 x 100).
Expanded Notation of 456 = (4 x 102) + (5 x 101) + (6 x 100)
Expanded Notation written using the powers of 10 This is an extension of writing the equation in expanded notation! Therefore I will use the information from that to explain; First I'll do out a table showing powers 10^2 = 100 10 to the power of 2 is One Hundred (2 zero's-after the 1) So hopefully you see the pattern in the above table!
6 x 104
Expanded Notation of 2784 = (2 x 103) + (7 x 102) + (8 x 101) + (4 x 100).
Expanded Notation of 5,280 = (5 x 10^3) + (2 x 10^2) + (8 x 10^1) + (0 x 10^0)
Expanded Notation of 1,760 = (1 x 10^3) + (7 x 10^2) + (6 x 10^1) + (0 x 10^0)
0.384 in expanded notation using exponential notation is: (0 x 10^0) + (3/10^1) + (8/10^2) + (4/10^3)
419,854,000
(4 * 103) + (7 * 102) + (6 * 101) + (8 * 100).
5 x 10^3 + 2 x 10^2 + 8 x 10^1