Final Answer:
The best estimate from the given options is 1000.
Step-by-step explanation:
Let's go through how to estimate the product of 45 and 23 and then determine the best estimate from the options provided: 800, 1500, and 1000.
Step 1: Estimate the Product
First, we do a rough estimate of 45 x 23. To do this, we might round both numbers to numbers that are easier to multiply mentally.
45 is close to 50.
23 is close to 25.
Multiplying 50 and 25 is straightforward because 50 is half of 100, and 25 is a quarter of 100. Therefore, multiplying 50 by 25 is like taking half of a quarter, which is one eighth (1/8) of 1000.
So, 50 x 25 = 1250.
This is a rough estimate of the actual product. We already know the exact product is going to be a bit less than this because we rounded both numbers up.
Step 2: Determine the Best Estimate
With our rough estimate in hand (1250), we now look at the options that have been given to determine which is closest to our estimate:
- 800
- 1500
- 1000
Of these three numbers, 1000 is the nearest to our estimate of 1250. Both 800 and 1500 are further away, with 800 being 450 less than our estimate and 1500 being 250 more than our estimate.
Therefore, the best estimate from the given options is 1000.
Step 3: Tick the Correct Estimate
We have determined that 1000 is the best estimate. If you were taking a test or completing a worksheet, this is the option you would tick. Since we are not actually ticking an option here, we merely state that the best estimate is 1000.
Note: To get the actual product, you would multiply 45 and 23 directly. The exact product of 45 x 23 is 1035.
So. this confirms that out of the choices given, 1000 is indeed the closest estimate.
Complete question:
Tick() the best estimate for each of the following from the given products. 45 x 23 = (800, 1500, 1000)