Which number is greater, 23×103
or 11×104
? How do you know? Show your work and explain your steps.
(2 points)
To compare the two numbers, 23×103 and 11×104, we need to evaluate both expressions and compare the results.
First, we evaluate 23×103:
23 × 103 = 2,369.
Then, we evaluate 11×104:
11 × 104 = 1,144.
Since 2,369 is greater than 1,144, we can conclude that 23×103 is greater than 11×104.
In summary, we compared the values obtained by evaluating both expressions and determined that 23×103 is the greater number.
To determine which number is greater between 23×10^3 and 11×10^4, we can compare the exponential terms.
Step 1: Rewrite the numbers in scientific notation form:
23×10^3 = 2.3×10^4
11×10^4 = 1.1×10^5
Step 2: Compare the exponential terms:
10^4 < 10^5
Step 3: Since the exponent 10^5 is greater than 10^4, it means that 1.1×10^5 is greater than 2.3×10^4.
Therefore, 11×10^4 is greater than 23×10^3.
To determine which number is greater, we need to compare the products of the given multiplications:
First, let's calculate 23 × 103:
23 × 103 = 2,369
Next, let's calculate 11 × 104:
11 × 104 = 1,144
Now, we can compare the two products:
2,369 > 1,144
Therefore, the number 23 × 103 is greater than 11 × 104.
In summary, to determine which number is greater, we multiply each pair of numbers and compare the products. In this case, I calculated 23 × 103 and 11 × 104, and then compared the results to find that 23 × 103 is greater.