Question

type the correct answer in the box. use numbers instead of words. use the place - value chart to help answer the question.

hundred thousands	ten thousands	thousands	hundreds	tens	ones

the value of the digit in the ten thousands place is how many times the value of the digit in the thousands place?

Explanation:

Step1: Identify the digits and their places

The digit in the ten thousands place is 8 (from the "Ten Thousands" column), and its value is \(8\times10000 = 80000\). The digit in the thousands place is 8 (from the "Thousands" column), and its value is \(8\times1000 = 8000\).

Step2: Calculate the ratio

To find how many times the value of the ten - thousands place digit is compared to the thousands place digit, we divide the value of the ten - thousands place digit by the value of the thousands place digit. So we calculate \(\frac{80000}{8000}\).

Simplifying \(\frac{80000}{8000}\), we can cancel out three zeros from the numerator and the denominator (since \(80000 = 8\times10^{4}\) and \(8000=8\times 10^{3}\)), and we get \(\frac{8\times10^{4}}{8\times10^{3}}=\frac{10^{4}}{10^{3}}\).

Using the rule of exponents \(a^{m}\div a^{n}=a^{m - n}\), for \(a = 10\), \(m = 4\) and \(n = 3\), we have \(10^{4-3}=10^{1}=10\).

Answer:

10