Which numbers are less than 1,000 Mark all that apply 8 * 10 ^ 2 9 * 10 ^ 3 * 10 ^ 1 3 * 10 ^ 4
The numbers that are less than 1,000 are:
8 * 10^2 (800)
9 * 10^3 * 10^1 (9,000 * 10^1 = 90,000)
3 * 10^4 (30,000)
So, all three of the given numbers are less than 1,000.
To determine which numbers are less than 1,000, we can simplify each expression and compare them to 1,000.
Let's evaluate the expressions one by one:
1. 8 * 10^2 = 8 * 100 = 800
2. 9 * 10^3 * 10^1 = 9 * 1,000 * 10 = 90,000
3. 3 * 10^4 = 3 * 10,000 = 30,000
So, out of the given expressions, only the expression "8 * 10^2" (which equals 800) is less than 1,000.
To determine which numbers are less than 1,000, we need to evaluate the expressions given and check if they are less than 1,000.
Let's break down each expression:
1. 8 * 10^2:
Here, we multiply 8 by 10 raised to the power of 2 (which means 10 multiplied by itself 2 times). So, 10^2 equals 100.
Therefore, 8 * 10^2 = 8 * 100 = 800.
2. 9 * 10^3 * 10^1:
Similar to the previous expression, we multiply 9 by 10 raised to the power of 3 and then multiply the result by 10 raised to the power of 1.
10^3 equals 1,000, and 10^1 equals 10.
So, 9 * 10^3 = 9 * 1,000 = 9,000.
Then, 9,000 * 10^1 = 9,000 * 10 = 90,000.
3. 3 * 10^4:
Again, we multiply 3 by 10 raised to the power of 4 (10,000).
So, 3 * 10^4 = 3 * 10,000 = 30,000.
Now, we can compare the expressions to 1,000:
- 800 is less than 1,000.
- 90,000 is greater than 1,000.
- 30,000 is greater than 1,000.
Therefore, only 8 * 10^2 (or 800) is less than 1,000.