1. explain why you would use front end estimation. Give an example of one time you might use it?
2. Explain in words how to add 352 + 958. Make sure to explain regrouping, if necessary?
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1. Front end estimation is a technique used to quickly estimate the sum or difference of two numbers. It involves focusing on the leading (or leftmost) digit of each number and ignoring the digits to the right of it. This method is typically used when you need a rough estimate or when you want to quickly check the reasonableness of your answer.
For example, let's say you are at a grocery store and you want to estimate the total cost of your items before heading to the checkout counter. If you have a shopping list with the prices of the items, you can use front end estimation to quickly find a rough estimate of the total cost. Instead of adding the exact prices, you can simply add the front-end digits of each price to get an estimate. This gives you a general idea of how much you will be spending without going into the exact calculations.
2. To add 352 and 958, follow these steps:
Step 1: Start by aligning the numbers vertically by place value, with the ones digit of each number underneath each other:
3 5 2
+ 9 5 8
Step 2: Begin adding the rightmost column, which represents the ones place. In this case, we have 2 + 8, which equals 10. Since 10 is a two-digit number, we need to regroup.
3 5 2
+ 9 5 8
_______
0
Step 3: Write down the 0 (representing the ones place) underneath the column and carry-over the 1 (representing the tens place) to the next column (the tens place).
Step 4: Move to the next column, which represents the tens place. Add the carried-over 1 to the sum of 5 and 5, which equals 11.
3 5 2
+ 9 5 8
_______
1 0
Step 5: Write down the 0 (representing the tens place) underneath the column and carry-over the 1 (representing the hundreds place) to the next column (the hundreds place).
Step 6: Move to the next column, which represents the hundreds place. Add the carried-over 1 to the sum of 3 and 9, which equals 13.
3 5 2
+ 9 5 8
_______
1 3 0
Step 7: Write down the final result, 1,352.
So, 352 + 958 = 1,352.
Remember to regroup whenever you have a two-digit sum in any column.