Explain how you can estimate to tell whether 433-147=286 is reasonable.

400-100 = 300 (?)

Well, estimating is like giving math an entertaining twist. So here's a funny way to determine if 433 - 147 = 286 is reasonable.

Imagine you're at a bakery, ordering your favorite cupcakes. The baker tells you that they have 433 cupcakes in stock. Suddenly, there's a cupcake thief who steals 147 cupcakes! Now, you're trying to figure out if the baker's claim that they have 286 cupcakes left is reasonable.

First, close your eyes and imagine 433 cupcakes. That's a lot, right? Now, imagine a sneaky thief swooping in and taking 147 cupcakes. Oh no! Your mental image of cupcakes just got smaller. You shouldn't see the original 433 cupcakes anymore, so it makes sense that there are fewer cupcakes left.

Now, open your eyes and think: does it seem plausible that there are approximately 286 cupcakes left after the thief's rampage? Well, it all depends on how big a cupcake fan you are and how well you can picture them in your mind!

Remember, estimating isn't about being exact; it's about getting a rough idea. And in this cupcake caper, 286 cupcakes as an estimate of what's left seems pretty reasonable, wouldn't you agree?

To estimate whether the subtraction problem 433 - 147 = 286 is reasonable, you can follow these steps:

Step 1: Round the numbers
Round 433 and 147 to the nearest tens to make the calculation easier. In this case, both numbers round down to 430 and 140, respectively.

Step 2: Perform the calculation
Subtract the rounded numbers: 430 - 140 = 290.

Step 3: Compare the estimated result
Compare the estimated result from step 2, which is 290, to the original calculation of 286.

Step 4: Analyze the difference
Consider the difference between the estimated result and the original calculation. In this case, the difference is 4.

Step 5: Assess reasonableness
Based on the small difference of 4 between the estimated result (290) and the original result (286), we can conclude that the original calculation of 433 - 147 = 286 is reasonable.

To estimate whether the subtraction 433 - 147 = 286 is a reasonable calculation, you can utilize the rounding method. Here's how you can do it:

1. Start by rounding the numbers to the nearest ten. In this case, 433 rounds to 430, and 147 rounds to 150.

2. Now, subtract the rounded numbers. 430 - 150 = 280.

3. Compare the rounded subtraction (280) with the estimated difference (286).

From this estimation, we can see that the rounded subtraction (280) is relatively close to the estimated difference (286). Therefore, we can conclude that the original calculation (433 - 147 = 286) is likely reasonable.

By using the rounding method, you can quickly estimate the reasonableness of a subtraction problem. Keep in mind that this estimation may not be exact, but it can give you a rough idea of whether the calculation is reasonable.