Question
Which number is greater, 23×103 or 11×104 ? How do you know? Show your work and explain your steps.
Answers
Answer
Which number is greater, 23×103 or 11×104 ? How do you know? Show your work and explain your steps.
Answer
Can you explain it
Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
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.
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.
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