diff --git a/packages/expect/src/__tests__/__snapshots__/matchers.test.js.snap b/packages/expect/src/__tests__/__snapshots__/matchers.test.js.snap
index 317a443c203c..f8de99c20a17 100644
--- a/packages/expect/src/__tests__/__snapshots__/matchers.test.js.snap
+++ b/packages/expect/src/__tests__/__snapshots__/matchers.test.js.snap
@@ -1818,6 +1818,13 @@ Expected: <green>\\"abc\\"</>
 Received: <red>\\"abc\\"</>"
 `;
 
+exports[`.toEqual() {pass: false} expect("abc").not.toEqual({"0": "a", "1": "b", "2": "c"}) 1`] = `
+"<dim>expect(</><red>received</><dim>).</>not<dim>.toEqual(</><green>expected</><dim>)</>
+
+Expected: <green>{\\"0\\": \\"a\\", \\"1\\": \\"b\\", \\"2\\": \\"c\\"}</>
+Received: <red>\\"abc\\"</>"
+`;
+
 exports[`.toEqual() {pass: false} expect("abcd").not.toEqual(StringContaining "bc") 1`] = `
 "<dim>expect(</><red>received</><dim>).</>not<dim>.toEqual(</><green>expected</><dim>)</>
 
@@ -1931,6 +1938,13 @@ Expected: <green>Any<Function></>
 Received: <red>[Function anonymous]</>"
 `;
 
+exports[`.toEqual() {pass: false} expect({"0": "a", "1": "b", "2": "c"}).not.toEqual("abc") 1`] = `
+"<dim>expect(</><red>received</><dim>).</>not<dim>.toEqual(</><green>expected</><dim>)</>
+
+Expected: <green>\\"abc\\"</>
+Received: <red>{\\"0\\": \\"a\\", \\"1\\": \\"b\\", \\"2\\": \\"c\\"}</>"
+`;
+
 exports[`.toEqual() {pass: false} expect({"a": 1, "b": [Function b], "c": true}).not.toEqual({"a": 1, "b": Any<Function>, "c": Anything}) 1`] = `
 "<dim>expect(</><red>received</><dim>).</>not<dim>.toEqual(</><green>expected</><dim>)</>
 
@@ -2006,6 +2020,20 @@ Expected: <green>{}</>
 Received: <red>{}</>"
 `;
 
+exports[`.toEqual() {pass: false} expect({}).not.toEqual(0) 1`] = `
+"<dim>expect(</><red>received</><dim>).</>not<dim>.toEqual(</><green>expected</><dim>)</>
+
+Expected: <green>0</>
+Received: <red>{}</>"
+`;
+
+exports[`.toEqual() {pass: false} expect(0).not.toEqual({}) 1`] = `
+"<dim>expect(</><red>received</><dim>).</>not<dim>.toEqual(</><green>expected</><dim>)</>
+
+Expected: <green>{}</>
+Received: <red>0</>"
+`;
+
 exports[`.toEqual() {pass: false} expect(0).toEqual(-0) 1`] = `
 "<dim>expect(</><red>received</><dim>).toEqual(</><green>expected</><dim>)</>
 
@@ -2408,6 +2436,13 @@ Expected: <green>Map {2 => [\\"two\\"], 1 => [\\"one\\"]}</>
 Received: <red>Map {1 => [\\"one\\"], 2 => [\\"two\\"]}</>"
 `;
 
+exports[`.toEqual() {pass: false} expect(NaN).not.toEqual(NaN) 1`] = `
+"<dim>expect(</><red>received</><dim>).</>not<dim>.toEqual(</><green>expected</><dim>)</>
+
+Expected: <green>NaN</>
+Received: <red>NaN</>"
+`;
+
 exports[`.toEqual() {pass: false} expect(Set {[1], [2], [3], [3]}).not.toEqual(Set {[3], [3], [2], [1]}) 1`] = `
 "<dim>expect(</><red>received</><dim>).</>not<dim>.toEqual(</><green>expected</><dim>)</>
 
diff --git a/packages/expect/src/__tests__/matchers.test.js b/packages/expect/src/__tests__/matchers.test.js
index ae4abd9406fd..6879d5b1bccb 100644
--- a/packages/expect/src/__tests__/matchers.test.js
+++ b/packages/expect/src/__tests__/matchers.test.js
@@ -428,7 +428,16 @@ describe('.toEqual()', () => {
   [
     [true, true],
     [1, 1],
+    [NaN, NaN],
+    // eslint-disable-next-line no-new-wrappers
+    [0, new Number(0)],
+    // eslint-disable-next-line no-new-wrappers
+    [new Number(0), 0],
     ['abc', 'abc'],
+    // eslint-disable-next-line no-new-wrappers
+    [new String('abc'), 'abc'],
+    // eslint-disable-next-line no-new-wrappers
+    ['abc', new String('abc')],
     [[1], [1]],
     [[1, 2], [1, 2]],
     [Immutable.List([1]), Immutable.List([1])],