in the negative
Synonym discussion
Sense: idiom/1
'In the negative' is a fixed formal phrase used mainly in official contexts such as business letters, legal replies, and committee decisions. 'Say no' is the most neutral and widely understood alternative, appropriate in both casual and semi-formal situations. 'Refuse' focuses on the act of rejecting rather than the wording of the reply, and it often suggests a stronger will or determination behind the decision. 'Turn down' is informal and commonly used for offers, invitations, or requests — for example: 'She turned down the job offer because the salary was too low.' In everyday speech, native speakers rarely say 'in the negative'; instead they use one of the other three options depending on the level of formality needed.
Etymology
The word 'negative' comes from Latin 'negare' meaning 'to deny'. The fixed phrase 'in the negative' (meaning 'with a reply of no') became established in English legal and parliamentary language during the 1500s as the counterpart to 'in the affirmative' (meaning 'with a reply of yes'). It has remained in use ever since in formal registers.