Question

multiplicative inverse of -13

Answer 1

ᴍᴜʟᴛɪᴩʟɪᴄᴀᴛɪᴠᴇ ɪɴᴠᴇʀꜱᴇ. ɪꜰ ᴀ ʀᴇᴀʟ ɴᴜᴍʙᴇʀ (x) ɪꜱ ᴍᴜʟᴛɪᴩʟɪᴇᴅ ᴛᴏ ᴀɴy ʀᴇᴀʟ ɴᴜᴍʙᴇʀꜱ , ᴛʜᴇɴ ᴛʜᴇ ᴩʀᴏᴅᴜᴄᴛ yɪᴇʟᴅ ᴛᴏ ᴏɴᴇ ɪꜱ ᴋɴᴏᴡɴ ᴀꜱ ᴍᴜʟᴛɪᴩʟɪᴄᴀᴛɪᴠᴇ ɪɴᴠᴇʀꜱᴇ. ᴛʜᴀᴛ ɪꜱ, ᴛʜᴇᴍᴜʟᴛɪᴩʟɪᴄᴀᴛɪᴠᴇ ɪɴᴠᴇʀꜱᴇ ᴏꜰ x ɪꜱ . ꜱᴏ, ᴀɴᴍᴜʟᴛɪᴩʟɪᴄᴀᴛɪᴠᴇ ɪɴᴠᴇʀꜱᴇ ᴏꜰ ᴀ ɴᴜᴍʙᴇʀ ɪꜱ ᴅᴇꜰɪɴᴇᴅ ᴀꜱ ᴛʜᴇ ʀᴇᴄɪᴩʀᴏᴄᴀʟ ᴏꜰ ᴀ ɢɪᴠᴇɴ ɴᴜᴍʙᴇʀ.

Answer 2

$multipicative \: inverse \:o f \: - 13 \\ = \frac{ - 1}{13} \\ as \\ - 13 \times \frac{ - 1}{13} = 1$