Write each number in expanded form using exponents.
Pls check
1, 234 (1*10^3)+(3*10^2)+(2×10^1)+4
210, 290, 450 (2*10^8)+(1*10^7)+(2*10^6)+(9*10^5)+(4*10^4)+5
7,123,456,089 (7*10^9)+(1*10^8)+(2*10^7)+(3*10^6)+(4*10^5)+(5*10^4)+(6*10^3)+(8*10^2)+(9*10^1)
10^3=1000
1,234*1000=1,234,000
10^2=100
3*100=300
2*10=20
1,234,000+300+20+1=1,234,321
I think this is what you do if I'm reading your problem correct.
To write a number in expanded form using exponents, follow these steps:
Step 1: Determine the place value of each digit in the number.
For example, consider the number 210,290,450.
Place Value Chart:
- Hundred billions: 2
- Ten billions: 1
- Billions: 0
- Hundred millions: 2
- Ten millions: 9
- Millions: 0
- Hundred thousands: 4
- Ten thousands: 5
- Thousands: 0
Step 2: Write each digit with its corresponding place value in exponential form.
Using the place value chart, the expanded form of 210,290,450 is:
(2 * 10^8) + (1 * 10^7) + (2 * 10^6) + (9 * 10^5) + (4 * 10^4) + (5 * 10^3) + (0 * 10^2) + (4 * 10^1) + (5 * 10^0)
Simplify each term if needed:
(2 * 100,000,000) + (1 * 10,000,000) + (2 * 1,000,000) + (9 * 100,000) + (4 * 10,000) + (5 * 1,000) + (0 * 100) + (4 * 10) + (5 * 1)
Step 3: Calculate each term and add them together.
(200,000,000) + (10,000,000) + (2,000,000) + (900,000) + (40,000) + (5,000) + (0) + (40) + (5) = 210,290,450
So, the number 210,290,450 in expanded form using exponents is:
(2 * 10^8) + (1 * 10^7) + (2 * 10^6) + (9 * 10^5) + (4 * 10^4) + (5 * 10^3) + (0 * 10^2) + (4 * 10^1) + (5 * 10^0)