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name: ____________ date: 9/9/2025 directions: use this number to answer…

Question

name: ____________ date: 9/9/2025
directions: use this number to answer questions 1-5.
5,192,478,600

  1. what place is the digit 1 in? ______
  2. what is the value of the digit 4? ______
  3. the five stands for: (circle one)

5 hundred 5 thousand 5 million 5 billion

  1. what digit is in the thousands place? ______
  2. what is the value of the digit 6? ______

directions: write the following numbers in standard form.

  1. four hundred twenty-three thousand, twenty-five ______
  2. 800,000 + 4,000 + 60 + 2 ______
  3. 100,000 + 900 + 20 + 3 ______

directions: write the following numbers in expanded form (ef) and word form (wf).

  1. 702, 006

ef ______
wf ______

  1. 7, 065.94 ef ______

wf ______

Explanation:

Response
Question 1

Step1: Identify digit positions

The number is \(5,192,478,600\). From right, positions: ones, tens, hundreds, thousands, ten - thousands, hundred - thousands, millions, ten - millions, hundred - millions, billions.
Digit 1: Count positions. The 1 is at the 9th position from right (billions? Wait, no: Let's write the number with commas: 5 (billion), 1 (hundred - million), 9 (ten - million), 2 (million), 4 (hundred - thousand), 7 (ten - thousand), 8 (thousand), 6 (hundred), 0 (ten), 0 (one). Wait, no, commas in US system: groups of three. So \(5,192,478,600\) is 5 (billion), 192 (million), 478 (thousand), 600 (ones). Wait, no, each group: first group (rightmost) is ones (3 digits), then thousands (next 3), then millions (next 3), then billions (next 3). So positions:

  • Billions: 5 (1st digit from left)
  • Hundred - millions: 1 (2nd digit from left)
  • Ten - millions: 9 (3rd)
  • Millions: 2 (4th)
  • Hundred - thousands: 4 (5th)
  • Ten - thousands: 7 (6th)
  • Thousands: 8 (7th)
  • Hundreds: 6 (8th)
  • Tens: 0 (9th)
  • Ones: 0 (10th)

So digit 1 is in the hundred - millions place. Wait, but maybe the original thought was wrong. Wait, let's count the place values properly. The number is \(5,192,478,600\). Let's write it as:

\(5\times10^{9}+1\times10^{8}+9\times10^{7}+2\times10^{6}+4\times10^{5}+7\times10^{4}+8\times10^{3}+6\times10^{2}+0\times10^{1}+0\times10^{0}\)

So the digit 1 is multiplied by \(10^{8}\), which is the hundred - millions place. But maybe the intended answer was 100,000,000 (hundred - million) place. Wait, the student wrote 100,000,000. Let's confirm:

The number: 5 (billion), 1 (hundred - million), 9 (ten - million), 2 (million), 4 (hundred - thousand), 7 (ten - thousand), 8 (thousand), 6 (hundred), 0 (ten), 0 (one). So digit 1 is in the hundred - millions place, which has a value of \(1\times10^{8}=100,000,000\). So the place is hundred - millions place (or 100,000,000 place).

Step2: Conclusion

The digit 1 is in the hundred - millions place (or \(10^{8}\) place), and the value of that place is 100,000,000. So the answer for question 1 is 100,000,000 (hundred - millions place).

Step1: Identify digit 4's position

In \(5,192,478,600\), digit 4 is at the hundred - thousands place.

Step2: Calculate value

The place value of hundred - thousands is \(10^{5}\). So the value of digit 4 is \(4\times10^{5}=400,000\).

Step1: Identify digit 5's position

In \(5,192,478,600\), digit 5 is at the billions place.

Step2: Determine the value

The place value of billions is \(10^{9}\), so 5 in the billions place stands for 5 billion.

Answer:

100,000,000 (hundred - millions place)

Question 2