diff --git a/src/expression/embeddedDocs/function/arithmetic/ceil.js b/src/expression/embeddedDocs/function/arithmetic/ceil.js
index ae6afb8f52..ef29722167 100644
--- a/src/expression/embeddedDocs/function/arithmetic/ceil.js
+++ b/src/expression/embeddedDocs/function/arithmetic/ceil.js
@@ -2,14 +2,19 @@ export const ceilDocs = {
   name: 'ceil',
   category: 'Arithmetic',
   syntax: [
-    'ceil(x)'
+    'ceil(x)',
+    'ceil(x, n)',
+    'ceil(unit, valuelessUnit)',
+    'ceil(unit, n, valuelessUnit)'
   ],
   description:
       'Round a value towards plus infinity. If x is complex, both real and imaginary part are rounded towards plus infinity.',
   examples: [
     'ceil(3.2)',
     'ceil(3.8)',
-    'ceil(-4.2)'
+    'ceil(-4.2)',
+    'ceil(3.241cm, cm)',
+    'ceil(3.241cm, 2, cm)'
   ],
   seealso: ['floor', 'fix', 'round']
 }
diff --git a/src/expression/embeddedDocs/function/arithmetic/fix.js b/src/expression/embeddedDocs/function/arithmetic/fix.js
index eb6302104e..e324fa9c6e 100644
--- a/src/expression/embeddedDocs/function/arithmetic/fix.js
+++ b/src/expression/embeddedDocs/function/arithmetic/fix.js
@@ -2,7 +2,10 @@ export const fixDocs = {
   name: 'fix',
   category: 'Arithmetic',
   syntax: [
-    'fix(x)'
+    'fix(x)',
+    'fix(x, n)',
+    'fix(unit, valuelessUnit)',
+    'fix(unit, n, valuelessUnit)'
   ],
   description:
       'Round a value towards zero. If x is complex, both real and imaginary part are rounded towards zero.',
@@ -10,7 +13,9 @@ export const fixDocs = {
     'fix(3.2)',
     'fix(3.8)',
     'fix(-4.2)',
-    'fix(-4.8)'
+    'fix(-4.8)',
+    'fix(3.241cm, cm)',
+    'fix(3.241cm, 2, cm)'
   ],
   seealso: ['ceil', 'floor', 'round']
 }
diff --git a/src/expression/embeddedDocs/function/arithmetic/floor.js b/src/expression/embeddedDocs/function/arithmetic/floor.js
index af78e187e7..ce6c55f22e 100644
--- a/src/expression/embeddedDocs/function/arithmetic/floor.js
+++ b/src/expression/embeddedDocs/function/arithmetic/floor.js
@@ -2,14 +2,19 @@ export const floorDocs = {
   name: 'floor',
   category: 'Arithmetic',
   syntax: [
-    'floor(x)'
+    'floor(x)',
+    'floor(x, n)',
+    'floor(unit, valuelessUnit)',
+    'floor(unit, n, valuelessUnit)'
   ],
   description:
       'Round a value towards minus infinity.If x is complex, both real and imaginary part are rounded towards minus infinity.',
   examples: [
     'floor(3.2)',
     'floor(3.8)',
-    'floor(-4.2)'
+    'floor(-4.2)',
+    'floor(3.241cm, cm)',
+    'floor(3.241cm, 2, cm)'
   ],
   seealso: ['ceil', 'fix', 'round']
 }
diff --git a/src/function/arithmetic/ceil.js b/src/function/arithmetic/ceil.js
index 4d4c7a0ea1..48828a94ed 100644
--- a/src/function/arithmetic/ceil.js
+++ b/src/function/arithmetic/ceil.js
@@ -67,6 +67,12 @@ export const createCeil = /* #__PURE__ */ factory(name, dependencies, ({ typed,
    *    math.ceil(c)                 // returns Complex 4 - 2i
    *    math.ceil(c, 1)              // returns Complex 3.3 - 2.7i
    *
+   *    const unit = math.unit('3.241 cm')
+   *    const cm = math.unit('cm')
+   *    const mm = math.unit('mm')
+   *    math.ceil(unit, 1, cm)      // returns Unit 3.3 cm
+   *    math.ceil(unit, 1, mm)      // returns Unit 32.5 mm
+   *
    *    math.ceil([3.2, 3.8, -4.7])  // returns Array [4, 4, -4]
    *    math.ceil([3.21, 3.82, -4.71], 1)  // returns Array [3.3, 3.9, -4.7]
    *
@@ -122,6 +128,24 @@ export const createCeil = /* #__PURE__ */ factory(name, dependencies, ({ typed,
       return x.ceil(n.toNumber())
     },
 
+    'Unit, number, Unit': typed.referToSelf(self => function (x, n, unit) {
+      const valueless = x.toNumeric(unit)
+      return unit.multiply(self(valueless, n))
+    }),
+
+    'Unit, BigNumber, Unit': typed.referToSelf(self => (x, n, unit) => self(x, n.toNumber(), unit)),
+
+    'Unit, Unit': typed.referToSelf(self => (x, unit) => self(x, 0, unit)),
+
+    'Array | Matrix, number, Unit': typed.referToSelf(self => (x, n, unit) => {
+      // deep map collection, skip zeros since ceil(0) = 0
+      return deepMap(x, (value) => self(value, n, unit), true)
+    }),
+
+    'Array | Matrix, BigNumber, Unit': typed.referToSelf(self => (x, n, unit) => self(x, n.toNumber(), unit)),
+
+    'Array | Matrix, Unit': typed.referToSelf(self => (x, unit) => self(x, 0, unit)),
+
     'Array | Matrix': typed.referToSelf(self => (x) => {
       // deep map collection, skip zeros since ceil(0) = 0
       return deepMap(x, self, true)
diff --git a/src/function/arithmetic/fix.js b/src/function/arithmetic/fix.js
index f0e8a39aaa..b1c0f60d9d 100644
--- a/src/function/arithmetic/fix.js
+++ b/src/function/arithmetic/fix.js
@@ -50,6 +50,12 @@ export const createFix = /* #__PURE__ */ factory(name, dependencies, ({ typed, C
    *    math.fix(c)                  // returns Complex 3 - 2i
    *    math.fix(c, 1)               // returns Complex 3.2 -2.7i
    *
+   *    const unit = math.unit('3.241 cm')
+   *    const cm = math.unit('cm')
+   *    const mm = math.unit('mm')
+   *    math.fix(unit, 1, cm)      // returns Unit 3.2 cm
+   *    math.fix(unit, 1, mm)      // returns Unit 32.4 mm
+   *
    *    math.fix([3.2, 3.8, -4.7])      // returns Array [3, 3, -4]
    *    math.fix([3.2, 3.8, -4.7], 1)   // returns Array [3.2, 3.8, -4.7]
    *
@@ -103,6 +109,24 @@ export const createFix = /* #__PURE__ */ factory(name, dependencies, ({ typed, C
       return x.s < 0 ? ceil(x, n) : floor(x, n)
     },
 
+    'Unit, number, Unit': typed.referToSelf(self => function (x, n, unit) {
+      const valueless = x.toNumeric(unit)
+      return unit.multiply(self(valueless, n))
+    }),
+
+    'Unit, BigNumber, Unit': typed.referToSelf(self => (x, n, unit) => self(x, n.toNumber(), unit)),
+
+    'Unit, Unit': typed.referToSelf(self => (x, unit) => self(x, 0, unit)),
+
+    'Array | Matrix, number, Unit': typed.referToSelf(self => (x, n, unit) => {
+      // deep map collection, skip zeros since round(0) = 0
+      return deepMap(x, (value) => self(value, n, unit), true)
+    }),
+
+    'Array | Matrix, BigNumber, Unit': typed.referToSelf(self => (x, n, unit) => self(x, n.toNumber(), unit)),
+
+    'Array | Matrix, Unit': typed.referToSelf(self => (x, unit) => self(x, 0, unit)),
+
     'Array | Matrix': typed.referToSelf(self => (x) => {
       // deep map collection, skip zeros since fix(0) = 0
       return deepMap(x, self, true)
diff --git a/src/function/arithmetic/floor.js b/src/function/arithmetic/floor.js
index 4129d5561b..08fa7715a5 100644
--- a/src/function/arithmetic/floor.js
+++ b/src/function/arithmetic/floor.js
@@ -66,6 +66,12 @@ export const createFloor = /* #__PURE__ */ factory(name, dependencies, ({ typed,
    *    math.floor(c)                 // returns Complex 3 - 3i
    *    math.floor(c, 1)              // returns Complex 3.2 -2.8i
    *
+   *    const unit = math.unit('3.241 cm')
+   *    const cm = math.unit('cm')
+   *    const mm = math.unit('mm')
+   *    math.floor(unit, 1, cm)      // returns Unit 3.2 cm
+   *    math.floor(unit, 1, mm)      // returns Unit 32.4 mm
+   *
    *    math.floor([3.2, 3.8, -4.7])       // returns Array [3, 3, -5]
    *    math.floor([3.21, 3.82, -4.71], 1)  // returns Array [3.2, 3.8, -4.8]
    *
@@ -125,6 +131,24 @@ export const createFloor = /* #__PURE__ */ factory(name, dependencies, ({ typed,
       return x.floor(n.toNumber())
     },
 
+    'Unit, number, Unit': typed.referToSelf(self => function (x, n, unit) {
+      const valueless = x.toNumeric(unit)
+      return unit.multiply(self(valueless, n))
+    }),
+
+    'Unit, BigNumber, Unit': typed.referToSelf(self => (x, n, unit) => self(x, n.toNumber(), unit)),
+
+    'Unit, Unit': typed.referToSelf(self => (x, unit) => self(x, 0, unit)),
+
+    'Array | Matrix, number, Unit': typed.referToSelf(self => (x, n, unit) => {
+      // deep map collection, skip zeros since floor(0) = 0
+      return deepMap(x, (value) => self(value, n, unit), true)
+    }),
+
+    'Array | Matrix, BigNumber, Unit': typed.referToSelf(self => (x, n, unit) => self(x, n.toNumber(), unit)),
+
+    'Array | Matrix, Unit': typed.referToSelf(self => (x, unit) => self(x, 0, unit)),
+
     'Array | Matrix': typed.referToSelf(self => (x) => {
       // deep map collection, skip zeros since floor(0) = 0
       return deepMap(x, self, true)
diff --git a/test/typescript-tests/testTypes.ts b/test/typescript-tests/testTypes.ts
index 735ac1148b..95b1730149 100644
--- a/test/typescript-tests/testTypes.ts
+++ b/test/typescript-tests/testTypes.ts
@@ -649,6 +649,9 @@ Chaining examples
   expectTypeOf(math.chain([1]).ceil()).toMatchTypeOf<
     MathJsChain<MathCollection>
   >()
+  expectTypeOf(
+    math.chain(math.unit('5.2cm')).ceil(math.unit('cm'))
+  ).toMatchTypeOf<MathJsChain<Unit>>()
 
   // fix
   expectTypeOf(math.chain(1).fix()).toMatchTypeOf<
@@ -657,6 +660,9 @@ Chaining examples
   expectTypeOf(math.chain([1]).fix()).toMatchTypeOf<
     MathJsChain<MathCollection>
   >()
+  expectTypeOf(
+    math.chain(math.unit('5.2cm')).fix(math.unit('cm'))
+  ).toMatchTypeOf<MathJsChain<Unit>>()
 
   // floor
   expectTypeOf(math.chain(1).floor()).toMatchTypeOf<
@@ -665,6 +671,9 @@ Chaining examples
   expectTypeOf(math.chain([1]).floor()).toMatchTypeOf<
     MathJsChain<MathCollection>
   >()
+  expectTypeOf(
+    math.chain(math.unit('5.2cm')).floor(math.unit('cm'))
+  ).toMatchTypeOf<MathJsChain<Unit>>()
 
   // round
   expectTypeOf(math.chain(1).round()).toMatchTypeOf<
diff --git a/test/unit-tests/function/arithmetic/ceil.test.js b/test/unit-tests/function/arithmetic/ceil.test.js
index e4a40508a2..b9315d29cd 100644
--- a/test/unit-tests/function/arithmetic/ceil.test.js
+++ b/test/unit-tests/function/arithmetic/ceil.test.js
@@ -148,6 +148,34 @@ describe('ceil', function () {
     assert.deepStrictEqual(ceil(bignumber(-799999.9999999999)), bignumber(-800000))
   })
 
+  it('should ceil units', function () {
+    assert.deepStrictEqual(ceil(unit('5.01 inch'), unit('inch')), unit('6 inch'))
+    assert.deepStrictEqual(ceil(unit('3.12345 cm'), 3, unit('cm')), unit('3.124 cm'))
+    assert.deepStrictEqual(ceil(unit('3.12345 cm'), unit('cm')), unit('4 cm'))
+    assert.deepStrictEqual(ceil(unit('2 inch'), unit('cm')), unit('6 cm'))
+    assert.deepStrictEqual(ceil(unit('2 inch'), 1, unit('cm')), unit('5.1 cm'))
+
+    // bignumber values
+    assert.deepStrictEqual(ceil(unit('3.12345 cm'), bignumber(2), unit('cm')), unit('3.13 cm'))
+    assert.deepStrictEqual(ceil(unit(bignumber('2'), 'inch'), unit('cm')), unit(bignumber('6'), 'cm'))
+    assert.deepStrictEqual(ceil(unit(bignumber('2'), 'inch'), bignumber(1), unit('cm')), unit(bignumber('5.1'), 'cm'))
+
+    // first argument is a collection
+    assert.deepStrictEqual(ceil([unit('2 inch'), unit('3 inch')], unit('cm')), [unit('6 cm'), unit('8 cm')])
+    assert.deepStrictEqual(ceil(matrix([unit('2 inch'), unit('3 inch')]), unit('cm')), matrix([unit('6 cm'), unit('8 cm')]))
+  })
+
+  it('should throw an error if used with a unit without valueless unit', function () {
+    assert.throws(function () { ceil(unit('5cm')) }, TypeError, 'Function ceil(unit) not supported')
+    assert.throws(function () { ceil(unit('5cm'), 2) }, TypeError, 'Function ceil(unit) not supported')
+    assert.throws(function () { ceil(unit('5cm'), bignumber(2)) }, TypeError, 'Function ceil(unit) not supported')
+  })
+
+  it('should throw an error if used with a unit with a second unit that is not valueless', function () {
+    assert.throws(function () { ceil(unit('2 inch'), 1, unit('10 cm')) }, Error)
+    assert.throws(function () { ceil(unit('2 inch'), unit('10 cm')) }, Error)
+  })
+
   it('should throw an error for units', function () {
     assert.throws(function () { ceil(unit('5cm')) }, TypeError, 'Function ceil(unit) not supported')
   })
diff --git a/test/unit-tests/function/arithmetic/fix.test.js b/test/unit-tests/function/arithmetic/fix.test.js
index 821123cc6b..74cf373a34 100644
--- a/test/unit-tests/function/arithmetic/fix.test.js
+++ b/test/unit-tests/function/arithmetic/fix.test.js
@@ -173,6 +173,39 @@ describe('fix', function () {
     assert.strictEqual(fix(-799999.9999999999, 3), -800000)
   })
 
+  it('should fix units', function () {
+    assert.deepStrictEqual(fix(unit('5.99 inch'), unit('inch')), unit('5 inch'))
+    assert.deepStrictEqual(fix(unit('3.12345 cm'), 3, unit('cm')), unit('3.123 cm'))
+    assert.deepStrictEqual(fix(unit('3.12345 cm'), unit('cm')), unit('3 cm'))
+    assert.deepStrictEqual(fix(unit('2 inch'), unit('cm')), unit('5 cm'))
+    assert.deepStrictEqual(fix(unit('2 inch'), 1, unit('cm')), unit('5 cm'))
+    assert.deepStrictEqual(fix(unit('-1.9 inch'), unit('cm')), unit('-4 cm'))
+
+    // bignumber values
+    assert.deepStrictEqual(fix(unit('3.12345 cm'), bignumber(2), unit('cm')), unit('3.12 cm'))
+    assert.deepStrictEqual(fix(unit(bignumber('2'), 'inch'), unit('cm')), unit(bignumber('5'), 'cm'))
+    assert.deepStrictEqual(fix(unit(bignumber('2'), 'inch'), bignumber(1), unit('cm')), unit(bignumber('5.0'), 'cm'))
+
+    // first argument is a collection
+    assert.deepStrictEqual(fix([unit('2 inch'), unit('3 inch')], unit('cm')), [unit('5 cm'), unit('7 cm')])
+    assert.deepStrictEqual(fix(matrix([unit('2 inch'), unit('3 inch')]), unit('cm')), matrix([unit('5 cm'), unit('7 cm')]))
+  })
+
+  it('should throw an error if used with a unit without valueless unit', function () {
+    assert.throws(function () { fix(unit('5cm')) }, TypeError, 'Function fix(unit) not supported')
+    assert.throws(function () { fix(unit('5cm'), 2) }, TypeError, 'Function fix(unit) not supported')
+    assert.throws(function () { fix(unit('5cm'), bignumber(2)) }, TypeError, 'Function fix(unit) not supported')
+  })
+
+  it('should throw an error if used with a unit with a second unit that is not valueless', function () {
+    assert.throws(function () { fix(unit('2 inch'), 1, unit('10 cm')) }, Error)
+    assert.throws(function () { fix(unit('2 inch'), unit('10 cm')) }, Error)
+  })
+
+  it('should throw an error with a unit', function () {
+    assert.throws(function () { fix(unit('5cm')) }, TypeError, 'Function fix(unit) not supported')
+  })
+
   it('should throw an error on unit as parameter', function () {
     // unit
     assert.throws(function () { fix(unit('5cm')) }, TypeError, 'Function fix(unit) not supported')
diff --git a/test/unit-tests/function/arithmetic/floor.test.js b/test/unit-tests/function/arithmetic/floor.test.js
index 36ec8763fa..a8acc77f8b 100644
--- a/test/unit-tests/function/arithmetic/floor.test.js
+++ b/test/unit-tests/function/arithmetic/floor.test.js
@@ -12,7 +12,7 @@ const i = math.i
 const sparse = math.sparse
 
 describe('floor', function () {
-  it('should round booleans correctly', function () {
+  it('should floor booleans correctly', function () {
     assert.strictEqual(floor(true), 1)
     assert.strictEqual(floor(false), 0)
   })
@@ -148,6 +148,34 @@ describe('floor', function () {
     assert.deepStrictEqual(floor(bignumber(-30000.000000000004)), bignumber(-30000))
   })
 
+  it('should floor units', function () {
+    assert.deepStrictEqual(floor(unit('5.99 inch'), unit('inch')), unit('5 inch'))
+    assert.deepStrictEqual(floor(unit('3.12345 cm'), 3, unit('cm')), unit('3.123 cm'))
+    assert.deepStrictEqual(floor(unit('3.12345 cm'), unit('cm')), unit('3 cm'))
+    assert.deepStrictEqual(floor(unit('2 inch'), unit('cm')), unit('5 cm'))
+    assert.deepStrictEqual(floor(unit('2 inch'), 1, unit('cm')), unit('5 cm'))
+
+    // bignumber values
+    assert.deepStrictEqual(floor(unit('3.12345 cm'), bignumber(2), unit('cm')), unit('3.12 cm'))
+    assert.deepStrictEqual(floor(unit(bignumber('2'), 'inch'), unit('cm')), unit(bignumber('5'), 'cm'))
+    assert.deepStrictEqual(floor(unit(bignumber('2'), 'inch'), bignumber(1), unit('cm')), unit(bignumber('5.0'), 'cm'))
+
+    // first argument is a collection
+    assert.deepStrictEqual(floor([unit('2 inch'), unit('3 inch')], unit('cm')), [unit('5 cm'), unit('7 cm')])
+    assert.deepStrictEqual(floor(matrix([unit('2 inch'), unit('3 inch')]), unit('cm')), matrix([unit('5 cm'), unit('7 cm')]))
+  })
+
+  it('should throw an error if used with a unit without valueless unit', function () {
+    assert.throws(function () { floor(unit('5cm')) }, TypeError, 'Function floor(unit) not supported')
+    assert.throws(function () { floor(unit('5cm'), 2) }, TypeError, 'Function floor(unit) not supported')
+    assert.throws(function () { floor(unit('5cm'), bignumber(2)) }, TypeError, 'Function floor(unit) not supported')
+  })
+
+  it('should throw an error if used with a unit with a second unit that is not valueless', function () {
+    assert.throws(function () { floor(unit('2 inch'), 1, unit('10 cm')) }, Error)
+    assert.throws(function () { floor(unit('2 inch'), unit('10 cm')) }, Error)
+  })
+
   it('should throw an error with a unit', function () {
     assert.throws(function () { floor(unit('5cm')) }, TypeError, 'Function floor(unit) not supported')
   })
@@ -226,9 +254,9 @@ describe('floor', function () {
   })
 
   it('should throw an error if requested number of decimals is incorrect', function () {
-    assert.throws(function () { floor(2.5, 1.5) }, Error, 'Number of decimals in function round must be an integer')
-    assert.throws(function () { floor(2.5, -2) }, Error, ' Number of decimals in function round must be in the range of 0-15')
-    assert.throws(function () { floor(2.5, Infinity) }, Error, ' Number of decimals in function round must be in the range of 0-15')
+    assert.throws(function () { floor(2.5, 1.5) }, Error, 'Number of decimals in function floor must be an integer')
+    assert.throws(function () { floor(2.5, -2) }, Error, ' Number of decimals in function floor must be in the range of 0-15')
+    assert.throws(function () { floor(2.5, Infinity) }, Error, ' Number of decimals in function floor must be in the range of 0-15')
   })
 
   it('should LaTeX floor', function () {
diff --git a/types/index.d.ts b/types/index.d.ts
index 16f4d16192..feb9d5cbe0 100644
--- a/types/index.d.ts
+++ b/types/index.d.ts
@@ -4995,6 +4995,25 @@ export interface MathJsChain<TValue> {
     this: MathJsChain<T>,
     n?: number | BigNumber | MathCollection
   ): MathJsChain<T>
+  ceil<U extends MathCollection>(
+    this: MathJsChain<MathNumericType | U>,
+    n: U
+  ): MathJsChain<U>
+  ceil(this: MathJsChain<Unit>, unit: Unit): MathJsChain<Unit>
+  ceil<U extends MathCollection>(
+    this: MathJsChain<U>,
+    unit: Unit
+  ): MathJsChain<U>
+  ceil(
+    this: MathJsChain<Unit>,
+    n: number | BigNumber,
+    unit: Unit
+  ): MathJsChain<Unit>
+  ceil<U extends MathCollection>(
+    this: MathJsChain<U>,
+    n: number | BigNumber,
+    unit: Unit
+  ): MathJsChain<U>
 
   /**
    * Round a value towards zero. For matrices, the function is evaluated
@@ -5005,6 +5024,25 @@ export interface MathJsChain<TValue> {
     this: MathJsChain<T>,
     n?: number | BigNumber | MathCollection
   ): MathJsChain<T>
+  fix<U extends MathCollection>(
+    this: MathJsChain<MathNumericType | U>,
+    n: U
+  ): MathJsChain<U>
+  fix(this: MathJsChain<Unit>, unit: Unit): MathJsChain<Unit>
+  fix<U extends MathCollection>(
+    this: MathJsChain<U>,
+    unit: Unit
+  ): MathJsChain<U>
+  fix(
+    this: MathJsChain<Unit>,
+    n: number | BigNumber,
+    unit: Unit
+  ): MathJsChain<Unit>
+  fix<U extends MathCollection>(
+    this: MathJsChain<U>,
+    n: number | BigNumber,
+    unit: Unit
+  ): MathJsChain<U>
 
   /**
    * Round a value towards minus infinity. For matrices, the function is
@@ -5015,6 +5053,25 @@ export interface MathJsChain<TValue> {
     this: MathJsChain<T>,
     n?: number | BigNumber | MathCollection
   ): MathJsChain<T>
+  floor<U extends MathCollection>(
+    this: MathJsChain<MathNumericType | U>,
+    n: U
+  ): MathJsChain<U>
+  floor(this: MathJsChain<Unit>, unit: Unit): MathJsChain<Unit>
+  floor<U extends MathCollection>(
+    this: MathJsChain<U>,
+    unit: Unit
+  ): MathJsChain<U>
+  floor(
+    this: MathJsChain<Unit>,
+    n: number | BigNumber,
+    unit: Unit
+  ): MathJsChain<Unit>
+  floor<U extends MathCollection>(
+    this: MathJsChain<U>,
+    n: number | BigNumber,
+    unit: Unit
+  ): MathJsChain<U>
 
   /**
    * Round a value towards the nearest integer. For matrices, the function