Case Study

You are adding 23.5+41.3823.5 + 41.38. Since 41.38 has two decimal digits and 23.5 has only one, you place a zero after the 55 in 23.5 before adding. What does 23.5 become, and what is the sum?

Case context: When adding decimals, both numbers need the same number of decimal digits. If one number has fewer, add a placeholder zero — this does not change its value, since 0.5=0.500.5 = 0.50.

Question: You are adding 23.5+41.3823.5 + 41.38. Since 41.38 has two decimal digits and 23.5 has only one, you place a zero after the 55 in 23.5 before adding. What does 23.5 become, and what is the sum?

Sample answer: 23.5 becomes 23.50. Adding 23.50+41.3823.50 + 41.38 gives 2350+4138=64882350 + 4138 = 6488, so the sum is 64.88.

Key points:

  • 23.5 becomes 23.50 because 0.5=0.500.5 = 0.50
  • Both numbers must have the same number of decimal digits before adding
  • Adding as whole numbers: 2350+4138=64882350 + 4138 = 6488
  • Placing the decimal point gives the final sum 64.88

Rubric: Full credit for correctly writing 23.5 as 23.50 and computing the sum as 64.88. Partial credit if the placeholder step is correct but the addition has an error, or vice versa.

0

1

Updated 2026-07-09

Contributors are:

Who are from:

Tags

OpenStax

Elementary Algebra @ OpenStax

Ch.1 Foundations - Elementary Algebra @ OpenStax

Algebra

Math

Prealgebra

Recall in Bloom's Taxonomy

Cognitive Psychology

Psychology

Social Science

Empirical Science

Science

OpenStax Psychology (2nd ed.) Textbook