To estimate and complete each subtraction problem, we can follow these steps:
Problem: Subtract 184 - 42
Estimate:
Round 184 to the nearest ten, which is 180.
Round 42 to the nearest ten, which is 40.
Subtract the estimates: 180 − 40 = 140 .
Actual Calculation:
Write the numbers in a column with 184 on top and 42 below it, aligning the digits by place value.
Subtract starting from the rightmost digit (units column):
From 4 (in 184), subtract 2 (in 42) to get 2.
Next, from 8 (in the tens place of 184), subtract 4 (in the tens place of 42) to get 4.
Lastly, subtract the hundreds place: from 1 (in 184) subtract 0 (since there is no digit in the hundreds place of 42), which remains 1.
So, 184 − 42 = 142 .
Problem: Subtract 361 - 33
Estimate:
Round 361 to the nearest ten, which is 360.
Round 33 to the nearest ten, which is 30.
Subtract the estimates: 360 − 30 = 330 .
Actual Calculation:
Write the numbers in a column with 361 on top and 33 below it, aligning the digits by place value.
Subtract starting from the rightmost digit (units column):
From 1 (in 361), subtract 3 (in 33). Since 1 is smaller than 3, you need to borrow. Take 1 ten from the 6 in 361, making it 5, and add 10 to the units column making it 11.
Now, subtract 11 - 3 to get 8.
Move to the tens column: from 5 (after borrowing) subtract 3 to get 2.
In the hundreds column, subtract 0 (since there is no digit to subtract in the hundreds place of 33) from 3, which remains 3.
So, 361 − 33 = 328 .
This step-by-step method helps you effectively estimate and calculate the differences needed for these types of subtraction problems.