Place value conversion: Change 75/100 to a decimal number.

Difficulty: Easy

Correct Answer: 0.75

Explanation:


Introduction / Context:
Fractions with denominator 100 map directly to decimals with two places. Understanding this mapping improves speed in percentage and ratio problems.



Given Data / Assumptions:

  • Fraction: 75/100
  • Write in decimal form.


Concept / Approach:
Divide the numerator by the denominator or move the decimal point two places to the left since the denominator is 100.



Step-by-Step Solution:

75 ÷ 100 = 0.75Therefore, 75/100 equals 0.75


Verification / Alternative check:
As a percentage, 0.75 equals 75%, consistent with 75 parts per hundred.



Why Other Options Are Wrong:
0.075 and 0.0075 move the decimal too far. 7.5 is ten times too large. 0.57 swaps digits.



Common Pitfalls:
Misplacing the decimal by one or two places due to rushing.



Final Answer:
0.75

Discussion & Comments

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