President Trump used a rally in Michigan to mark what he claimed had been “the most successful first 100 days of any administration in the history of our country, according to many, many people”.

He highlighted his efforts to tackle illegal immigration, to bring back jobs to the US and end what he called “the inflation nightmare”.

BBC Verify has looked into some of the main claims from his speech.

Trump said “gasoline prices are down by a lot” since he took office.

On 29 April, the average price for a gallon of “regular” gas – or petrol – across the US was $3.16 (£2.36), according to data from the American Automobile Association (AAA).

That is slightly up from the $3.125 (£2.33) recorded by the AAA on the day Trump entered the White House.

In his speech, he added that gas prices had “just hit $1.98 in a lot of states”.

This is a claim he has made several times but we cannot find evidence of prices this low.

As of 29 April, no state had an average gas price lower than $2.67 (£1.99), according to the AAA.

The US president also spoke about the cost of eggs – a concern for many US consumers due to an ongoing bird flu outbreak – and said: “Since I took office, the cost of eggs is down 87%.”

This claim is false.

The average national price for consumers of a dozen large Grade A eggs when Trump entered office in January was about $4.95 (£3.70).

This rose to a record high of around $6.23 (£4.65) per dozen in March – according to the latest available figures.

The White House has pointed to wholesale egg prices as evidence of improvement.

Wholesale prices have gone down since Trump took office – but by about 52% – from $6.55 (£4.89) for a dozen large white eggs in January to $3.15 (£2.34) in the past week, according to the US Department of Agriculture.

Trump spoke at length about his efforts to tackle illegal immigration – a key campaign issue in last year’s election.

He said: “For two months in a row, we have set all time records for the lowest number of illegal border crossings ever recorded.”

This claim is backed up by the latest monthly figures on “encounters” of illegal migrants recorded by officials at the US-Mexico border.

In March, there were 7,181 encounters of migrants there and in February there were 8,346.

These are the the lowest numbers since these monthly records began in 2000.

By comparison, there were about 140,000 encounters at this border in each of those months last year under President Biden.

His term saw record numbers of border crossings which then fell towards the end of his presidency.

The Migration Policy Institute think tank has studied monthly averages of annual figures available before 2000 and says this year’s illegal border crossings are the lowest since the late 1960s, rather than the lowest for “all time”.

President Trump praised Elon Musk’s work at the Department of Government Efficiency (Doge) saying: “They’ve saved over $150bn on waste, fraud and abuse”.

Doge, an advisory body, publishes a running total of its estimated savings on its website – it was $160bn the last time the site was updated on 20 April.

However, less than 40% of this figure is broken down into individual savings – which include cancelling government contracts, grants and leases.

Analysis by BBC Verify found only about half of these itemised savings had a link to a document or other form of evidence.

Doge says it is working to upload all receipts in a “digestible and transparent manner”.

Federal contract experts we spoke to also raised questions about Doge’s biggest claimed savings and said some had been overstated.

Trump said: “In three months we have created 350,000 jobs.”

This claim is backed up by official figures.

During Trump’s first two full months in office up until March (the latest available data) 345,000 jobs have been added, according to the US Bureau of Labor Statistics.

However, over the same period last year 468,000 jobs were added under President Biden.

Trump also said: “For the first time in recent memory, job gains for native-born Americans now exceed job gains for foreign workers.”

It is true that during President Trump’s first two full months in office more jobs have been created for native-born workers than foreign-born workers.

This also happened between February and April last year under President Biden.

Additional reporting by Gerry Georgieva and Tom Edgington