7,261,087,766 When this number is written in expanded form using exponents, one power of 10 would not be represented. Which power of 10 ? Why ?
well, there are mo 100,000 right?
which power of ten is that?
To determine the missing power of 10 when writing the number 7,261,087,766 in expanded form using exponents, we need to analyze the digits from left to right.
Let's break down the given number:
7,261,087,766
The leftmost digit is 7, and it is followed by 9 digits. Therefore, the total number of digits is 10.
Since the expanded form of any number can be written as the sum of each digit multiplied by the corresponding power of 10, the missing power of 10 would be the exponent of the leftmost digit, which is 7.
Therefore, when writing the number 7,261,087,766 in expanded form using exponents, the power of 10 that would not be represented is 10 to the power of 7.
To understand which power of 10 is not represented when the number 7,261,087,766 is written in expanded form using exponents, we need to break down the number into its components.
When we write a number in expanded form using exponents, we express it as the sum of the products of its digits by the corresponding powers of 10.
Let's break down each digit in the number:
7,261,087,766 = (7 × 10^10) + (2 × 10^9) + (6 × 10^8) + (1 × 10^7) + (0 × 10^6) + (8 × 10^5) + (7 × 10^4) + (7 × 10^3) + (6 × 10^2) + (6 × 10^1)
As you can see, all the powers from 1 to 10 are represented except for 10^0 (which is equivalent to 1). In expanded form, we don't explicitly write 1 as a power of 10 because multiplying by 1 has no effect on the number.
Therefore, when the number 7,261,087,766 is written in expanded form using exponents, the power of 10 that would not be represented is 10^0.