Syracuse (8-0) has won 28 straight home games, the longest streak in the nation, and 50 straight nonconference games in the regular season. Monmouth (5-5), which had won four of five, is 0-42 against teams from the Big East.
Carter-Williams, who also had five steals and four blocks, has reached double digits in assists five times and his 83 assists are 29 more than he had his entire freshman season.
His total for the game was the third-highest in school history, behind
Brandon Triche had 18 points and eight of the Orange's 30 assists, Trevor Cooney had a career-high 15 points as he went 5 of 9 from behind the arc, and James Southerland finished with 14.
Rakeem Christmas added 11 points and four blocks, and freshman Dajuan Coleman had 11 points and a season-high 14 rebounds as Syracuse dominated the glass 63-38, including 25-12 on the offensive glass.
Ed Waite, who had a career-high 23 points at Binghamton on Monday, led the Hawks with 10 points and Gary Cox had nine. Andrew Nicholas, Monmouth's leading scorer at 15.7 points per game, finished with five.
Syracuse overcame a slow start—the Orange hit only 8 of their first
The Hawks' small lineup figured to be a problem and was. Monmouth's tallest starter was the 6-foot-6 Nicholas, the same as Orange point guard Carter-Williams, but the Hawks were game and hung tough at the outset.
Monmouth shrugged off the Orange's 2-3 zone and early press and led 13-12 on the 6-foot-5 Cox's dunk over the 6-9 Christmas at 13:07.
But after Max DiLeo's free throw tied the game at 19, the Orange took off, dominating inside and hitting six from beyond the arc.
Triche's 3-pointer and another by Carter-Williams sent Syracuse on a 30-6 run as the Orange outscored the Hawks 38-9 to close the half.
Syracuse had eight blocks in the half and they took a toll. Carter-Williams and Fair registered consecutive blocks on the same possession and Southerland converted a three-point play at the other end for a 35-21 lead with 6:07 left.
After Cooney made his second 3 of the period, he tried again the next time down the court and threw up an air ball. No problem. Fair snared the rebound and put it in.
Less than two minutes later, Christmas blocked Ed Waite's shot at the rim and Cooney hit another 3 to boost the lead to 47-25.
Coleman scored six straight points and Triche's driving layup gave Syracuse a 57-28 lead at the break.
The onslaught continued at the start of the second half. Syracuse scored the first 13 points, giving them 21 in a row and 51 in a span of 11:26.
The Hawks allowed three opponents to score 100 points last season, a first for the program. Syracuse was the first to do it this season.
Monmouth played the game without head coach King Rice. In his second season, the former standout at Binghamton High School in southern New York was suspended for one game for his actions and comments critical of the officials after a game with Navy.
Rice, who was ejected with less than two minutes to play in the Hawks' 85-66 loss on Wednesday night, was replaced by assistant Rick Callahan, who was born in Syracuse and started his career as a graduate assistant in 1980 under Orange coach Jim Boeheim.