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In Mathematics / High School | 2025-07-08

Estimate and then complete each subtraction.

184 - 42 =
Estimate = 180 - 40 = 140

361 - 33 =
Estimate = 360 - 30 = 330

Asked by lovemickie1670

Answer (1)

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.

Answered by OliviaLunaGracy | 2025-07-21