Certainly! Let’s break down the given question and provide a detailed explanation for each part:
We are working with the number 330,548 and addressing specific questions about its digits.
### Value of the Underlined Digit
First, let's find the value of the two '3's in the number 330,548.
- The first '3' appears in the hundred thousands place.
- The value of this '3' is 3 100,000 = 300,000.
- The second '3' appears in the ten thousands place.
- The value of this '3' is 3 10,000 = 30,000.
So, we have identified the values of both '3's.
### Comparing Values of the Two '3's
Next, we need to determine how many times greater the value of the first '3' is compared to the second '3'.
- The first '3' is worth 300,000
- The second '3' is worth 30,000
To find out how many times greater 300,000 is compared to 30,000, we perform the division:
[tex]\[ \frac{300,000}{30,000} = 10 \][/tex]
Therefore, the value of the underlined '3' (the first one) is 10 times greater than the value of the other '3' (the second one).
### Expanded Form
To express 330,548 in expanded form, we break down the number according to the place value of each digit:
[tex]\[ 330,548 = 300,000 + 30,000 + 500 + 40 + 8 \][/tex]
### Word Form
Finally, we convert the number into its word form. For 330,548, we say:
"Three hundred thirty thousand five hundred forty-eight"
### Summary of Answers
12. The value of the underlined 3 is 10 times greater than the value of the other 3.
13. Expanded form:
[tex]\[
330,548 = 300,000 + 30,000 + 500 + 40 + 8
\][/tex]
14. Word form:
[tex]\[
Three hundred thirty thousand five hundred forty-eight
\][/tex]
I hope this detailed step-by-step solution helps you understand how to break down and answer each part of the question!
