Apply decimal subtraction using place value: Evaluate (3.57 − 2.14).

Difficulty: Easy

Correct Answer: 1.43

Explanation:


Introduction / Context:
The question assesses straightforward decimal subtraction, reinforcing place-value alignment and borrow logic for tenths and hundredths.



Given Data / Assumptions:

  • Compute 3.57 − 2.14.
  • Decimals are in hundredths; align digits before subtracting.


Concept / Approach:
Write the numbers one under the other with decimal points aligned. Subtract hundredths, then tenths, then the units digit, borrowing from the next left place if necessary.



Step-by-Step Solution:

Hundredths: 7 − 4 = 3Tenths: 5 − 1 = 4Ones: 3 − 2 = 1Therefore, 3.57 − 2.14 = 1.43


Verification / Alternative check:
Think in parts: (3 + 0.57) − (2 + 0.14) = (3 − 2) + (0.57 − 0.14) = 1 + 0.43 = 1.43.



Why Other Options Are Wrong:
1.4301 and 1.403 introduce spurious digits. 1.42 and 1.44 are off by a hundredth due to a carry/borrow mistake.



Common Pitfalls:
Failing to align decimals, subtracting 14 from 57 incorrectly, or adding instead of subtracting the hundredths place.



Final Answer:
1.43

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion