Question

Which number is greater, 23×103 or 11×104 ? How do you know? Show your work and explain your steps.

Answer 1

To compare the two numbers, we need to simplify each expression.

23 × 10^3 = 23,000
11 × 10^4 = 110,000

Comparing these two value, we can see that 110,000 is greater than 23,000.

Therefore, 11 × 10^4 is greater than 23 × 10^3.

Answer 2

Which number is greater, 23×103 or 11×104 ? How do you know? Show your work and explain your steps.

Answer 3

To compare the two numbers, we need to simplify each expression.

23 × 10^3 = 23,000
11 × 10^4 = 110,000

Comparing these two values, we can see that 110,000 is greater than 23,000.

Therefore, 11 × 10^4 is greater than 23 × 10^3.

Answer 4

Can you explain it

Answer 5

Certainly! To compare the two numbers, we look at the coefficients and the exponents.

For 23 × 10^3:
- The coefficient is 23, which is a smaller number compared to 11 in the other expression.
- The exponent is 3. Since 10^3 means multiplying by 10 three times, we can write it as 10 × 10 × 10, which equals 1,000.

So, 23 × 10^3 can be written as 23 × 1,000 = 23,000.

Now, let's look at 11 × 10^4:
- The coefficient is 11, which is greater than 23 in the previous expression.
- The exponent is 4. Similarly, 10^4 means multiplying by 10 four times, which can be written as 10 × 10 × 10 × 10, equal to 10,000.

So, 11 × 10^4 can be written as 11 × 10,000 = 110,000.

Comparing the two values, we see that 110,000 is greater than 23,000.

Therefore, 11 × 10^4 is greater than 23 × 10^3.