Prepositions with nouns

Prepositions used with sum

Different prepositions with sum express totals, results, summaries, or money amounts.

Quick answer

Common combinations with sum

The most common patterns are sum of for totals, sum to for resulting totals, and in sum for a brief conclusion. About sum and with sum are uncommon except in special contexts.

The sum of the numbers is 40.
The expenses sum to more than $500.
In sum, the project succeeded.

Choose the pattern by meaning

These forms are not interchangeable. Choose the construction by meaning, not by which preposition appears most often.

1
sum of + numbers/items

Expressing a total

Use sum of to talk about a combined total.

The sum of the angles is 180 degrees.
2
sum to + amount

Showing a final total

Use sum to with a verb meaning reach a total.

Their costs sum to $2,000 altogether.
3
in sum

Giving a conclusion

In sum means in short or overall.

In sum, the plan was effective.
4
a sum for + purpose

Talking about money for something

Use for to explain the purpose of a payment or amount.

They donated a large sum for medical research.

See the difference in context

The same subject can take different constructions because each sentence answers a different question.

Construction
Example
Meaning
sum of
The sum of 8 and 2 is 10.
A mathematical or combined total.
sum to
The figures sum to 100.
Add up to a total.
in sum
In sum, we agree with the proposal.
Overall or in conclusion.
about sum
We spoke about the sum involved.
About introduces the topic, not a fixed phrase with sum.
with sum
They left with a large sum of money.
With expresses accompaniment, not a fixed collocation.

Common mistakes

Some combinations appear in real text but do not mean what learners often assume.

Using sum of after a verb

Use sum to when numbers add up.

✕ The numbers sum of 50. ✓ The numbers sum to 50.

Confusing in sum with sum up

In sum is a phrase meaning overall.

✕ In sum the speaker explained the chart. ✓ In sum, the speaker explained the main result clearly.

Using about sum as a fixed expression

About normally introduces a topic.

✕ We discussed about sum. ✓ We discussed the sum.

Leaving out of after sum

Use of before the items being added.

✕ the sum the payments ✓ the sum of the payments

Quick practice

Choose the expression that matches the intended meaning.

1. The two invoices ___ $900.
2. ___, the company made a profit.
3. The ___ the values is 75.

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Frequently asked questions

What is the difference between sum of and sum to?

Sum of is a noun phrase for a total. Sum to is a verb phrase meaning add up to.

Is in sum formal?

Yes. It is common in formal writing and presentations.

Can about be used with sum?

Yes, but only when about introduces a topic, as in talk about the sum.

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