Number order in addition affects cognitive effort: evidence from mental arithmetic tasks

In this study, our aim was to find out how order of numbers in the arithmetic operation of addition affects cognitive effort of mental processing. We presented two sets of addition questions (<i>a</i> + <i>b</i>) to a group of participants. In one set of questions, the first number of each item was larger than the second number (a > <i>b</i>). In another set of questions, the first number was smaller than the second number (a < <i>b</i>). The participants were asked to answer each item within a period of 12 seconds. The results showed that when the first number was larger than the second number, participants provided more correct answers and were faster in giving correct answers. Two explanations are discussed for these results. Finally, it is concluded that the property of commutativity of addition does not mean that performing that operation in various situations involves the same level of cognitive effort.

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Journal
Frontiers in Psychology
Published
2025-08-13
DOI
https://doi.org/10.3389/fpsyg.2025.1618197
Primary Topic
Cognitive and developmental aspects of mathematical skills
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article
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article

Number order in addition affects cognitive effort: evidence from mental arithmetic tasks

Omid Khatin‐Zadeh, Danyal Farsani, Hassan Banaruee, Jiayong He et al.
1 links
Frontiers in Psychology
Cognitive and developmental aspects of mathematical skills
article

Number order in addition affects cognitive effort: evidence from mental arithmetic tasks

Omid Khatin‐Zadeh, Danyal Farsani, Hassan Banaruee, Jiayong He, Zahra Eskandari, Arash Ghahraman
article en

Abstract

In this study, our aim was to find out how order of numbers in the arithmetic operation of addition affects cognitive effort of mental processing. We presented two sets of addition questions (<i>a</i> + <i>b</i>) to a group of participants. In one set of questions, the first number of each item was larger than the second number (a > <i>b</i>). In another set of questions, the first number was smaller than the second number (a < <i>b</i>). The participants were asked to answer each item within a period of 12 seconds. The results showed that when the first number was larger than the second number, participants provided more correct answers and were faster in giving correct answers. Two explanations are discussed for these results. Finally, it is concluded that the property of commutativity of addition does not mean that performing that operation in various situations involves the same level of cognitive effort.

Frontiers in PsychologyVol. 16
Eötvös Loránd University (HU), Tongji University (CN), University of Electronic Science and Technology of China (CN), Norwegian University of Science and Technology (NO), University of Education Weingarten (DE)
Openalex Percentile: Top 80%
Cognitive and developmental aspects of mathematical skills
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Number order in addition affects cognitive effort: evidence from mental arithmetic tasks — Omid Khatin‐Zadeh, Danyal Farsani, et al. · Frontiers in Psychology (2025) | TGRS Research Map | TGRS