QUESTION IMAGE
Question
name: ____________ date: 9/9/2025
directions: use this number to answer questions 1-5.
5,192,478,600
- what place is the digit 1 in? ______
- what is the value of the digit 4? ______
- the five stands for: (circle one)
5 hundred 5 thousand 5 million 5 billion
- what digit is in the thousands place? ______
- what is the value of the digit 6? ______
directions: write the following numbers in standard form.
- four hundred twenty-three thousand, twenty-five ______
- 800,000 + 4,000 + 60 + 2 ______
- 100,000 + 900 + 20 + 3 ______
directions: write the following numbers in expanded form (ef) and word form (wf).
- 702, 006
ef ______
wf ______
- 7, 065.94 ef ______
wf ______
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.
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100,000,000 (hundred - millions place)