WordGarden.iononnegative
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Meanings
Adjective
equal to or greater than zero
Beyond the definition
Imagine you're counting steps forward. You can take one step, two steps, three… those are all positive numbers! But what if you stay put? That's zero. A nonnegative number includes both the steps forward and staying still—it simply means there's no backward movement (no negative values).
This idea is especially important in math and computer science. When dealing with quantities like distance, age, or population, these things can't be less than zero. You wouldn't say you traveled -5 miles, or that someone is -2 years old! So, "nonnegative" tells us we're only considering values that are either positive or zero. Think of it as a rule: "Only allow numbers that aren't negative."
"Nonnegative" describes any number that is greater than or equal to zero. It's a term frequently used in mathematics, statistics, and computer science to define the acceptable range of values for certain variables or parameters. While it might sound complex, the concept itself is quite straightforward: it simply excludes negative numbers.
Think about measuring length. Length can be 5 inches, 10 centimeters, or even exactly zero. But a length of -3 inches doesn't make sense in the real world. So length is often defined as a nonnegative quantity. Similarly, you might define the number of items in a basket as nonnegative: you can have one item, ten items, or no items, but not negative two items.
In mathematical contexts, "nonnegative" is crucial for defining domains and ranges of functions, solving equations, and establishing constraints in optimization problems. For example, when graphing an inequality like , you're specifying that only nonnegative values of x are allowed.
The term "nonnegative" isn't usually used in everyday conversation, but it's a fundamental concept for anyone working with numbers and quantities where negative values aren't meaningful or permissible. It's about setting boundaries—ensuring everything stays on the positive side (or at zero!).
Examples
- 1
Data entry
Enter a nonnegative number in the box.
- 2
Integer values
The answer must be a nonnegative integer, such as 0, 1, or 2.
- 3
Account balance
The app checks that the account balance is nonnegative before it saves the record.
- 4
Formula rule
In this formula, distance must be nonnegative.
More examplesFewer examples
- 5
Math property
The square of any real number is always nonnegative.
See also
Similar
- zero or positive
- not negative
- greater than or equal to zero
Shades of meaning
Contrast
Used with (collocations)
- nonnegative number
- nonnegative integer
- nonnegative real
- nonnegative solution
Word family
- nonnegativity
Explore
- inequality
- positive semidefinite
Forms and spellings
1 form open this card.
Main spelling
- nonnegativeadjective