Sentence examples for hard numbers from inspiring English sources

"hard numbers" is a correct and usable phrase in written English.
It refers to specific and verifiable numerical data or statistics. You can use "hard numbers" when you want to emphasize the concrete numerical evidence supporting a statement or argument. Example: "While some may argue that the new policy is beneficial, the hard numbers show a decline in profits and customer satisfaction."

Exact(60)

(There are no hard numbers).

Hard numbers tell the story.

Those are the hard numbers.

Japanese doctors like the hard numbers.

Those are hard numbers to overcome.

Of course, these are not hard numbers.

So let's start with the hard numbers.

But elections are won with hard numbers.

Actual votes are fixed, hard numbers.

What does that mean in hard numbers?

"Some hard numbers on science's leadership problems". Nature.

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