# Comparing Numerical Expressions With Parentheses Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to **Comparing Numerical Expressions With Parentheses**. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using **Show Answer** button. You can use **Next Quiz** button to check new set of questions in the quiz.

Q 1 - Compare the following expressions using the symbols <, >, =

(28 | - | 4) | ÷ | 3 | 2 | + | (6 | - | 2) |

### Answer : B

### Explanation

**Step 1:**

We first simplify the first expression.

28 − 4 = 24

So (28 − 4) ÷ 3 = 24 ÷ 3 = 8

**Step 2:**

Next we simplify the second expression

6 − 2 = 4

So 2 + (6 − 2) = 2 + 4 = 6

**Step 3:**

Since 8 > 6, the correct comparison is

(28 − 4) ÷ 3 > 2 + (6 − 2)

Q 2 - Compare the following expressions using the symbols <, >, =

(23 | + | 5) | ÷ | 7 | 5 | + | (5 | - | 4) |

### Answer : A

### Explanation

**Step 1:**

We first simplify the first expression.

23 + 5 = 28

So (23 + 5) ÷ 7 = 28 ÷ 7 = 4

**Step 2:**

Next we simplify the second expression

5 − 4 = 1

So 5 + (5 − 4) = 5 + 1 = 6

**Step 3:**

Since 4 < 6, the correct comparison is

(23 + 5) ÷ 7 < 5 + (5 − 4)

Q 3 - Compare the following expressions using the symbols <, >, =

(8 | + | 4) | ÷ | 3 | 2 | + | (5 | - | 3) |

### Answer : C

### Explanation

**Step 1:**

We first simplify the first expression.

8 + 4 = 12

So (8 + 4) ÷ 3 = 12 ÷ 3 = 4

**Step 2:**

Next we simplify the second expression

5 − 3 = 2

So 2 + (5 − 3) = 2 + 2 = 4

**Step 3:**

Since 4 = 4, the correct comparison is

(8 + 4) ÷ 3 = 2 + (5 − 3)

Q 4 - Compare the following expressions using the symbols <, >, =

(25 | - | 1) | ÷ | 8 | 11 | - | 3 | × | (1 | + | 2) |

### Answer : D

### Explanation

**Step 1:**

We first simplify the first expression.

25 − 1 = 24

So (25 − 1) ÷ 8 = 24 ÷ 8 = 3

**Step 2:**

Next we simplify the second expression

1 + 2 = 3

So 11 − 3(1 + 2) = 11 − 9 = 2

**Step 3:**

Since 3 > 2, the correct comparison is

(25 − 1) ÷ 8 > 11 − 3(1 + 2)

Q 5 - Compare the following expressions using the symbols <, >, =

(6 | + | 0) | ÷ | 3 | 10 | - | 6 | × | (0 | + | 1) |

### Answer : A

### Explanation

**Step 1:**

We first simplify the first expression.

6 + 0 = 6

So (6 + 0) ÷ 3 = 6 ÷ 3 = 2

**Step 2:**

Next we simplify the second expression

0 + 1 = 1

So 10 − 6(0 + 1) = 10 − 6 = 4

**Step 3:**

Since 2 < 4, the correct comparison is

(6 + 0) ÷ 3 < 10 − 6(0 + 1)

Q 6 - Compare the following expressions using the symbols <, >, =

(17 | + | 10) | ÷ | 9 | 19 | - | 6 | × | (1 | + | 2) |

### Answer : B

### Explanation

**Step 1:**

We first simplify the first expression.

17 + 10 = 27

So (17 + 10) ÷ 9 = 27 ÷ 9 = 3

**Step 2:**

Next we simplify the second expression

1 + 2 = 3

So 19 − 6(1 + 2) = 19 − 18 = 1

**Step 3:**

Since 3 > 1, the correct comparison is

(17 + 10) ÷ 9 > 19 − 6(1 + 2)

Q 7 - Compare the following expressions using the symbols <, >, =

(8 | - | 4) | ÷ | 2 | 1 | + | (4 | - | 2) |

### Answer : D

### Explanation

**Step 1:**

We first simplify the first expression.

8 − 4 = 4

So (8 − 4) ÷ 2 = 4 ÷ 2 = 2

**Step 2:**

Next we simplify the second expression

4 − 2 = 2

So 1 + (4 − 2) = 1 + 2 = 3

**Step 3:**

Since 2 < 3, the correct comparison is

(8 − 4) ÷ 2 < 1 + (4 − 2)

Q 8 - Compare the following expressions using the symbols <, >, =

(16 | + | 9) | ÷ | 5 | 2 | + | (5 | - | 2) |

### Answer : B

### Explanation

**Step 1:**

We first simplify the first expression.

16 + 9 = 25

So (16 + 9) ÷ 5 = 25 ÷ 5 = 5

**Step 2:**

Next we simplify the second expression

5 − 2 = 3

So 2 + (5 − 2) = 2 + 3 = 5

**Step 3:**

Since 5 = 5, the correct comparison is

(16 + 9) ÷ 5 = 2 + (5 − 2)

Q 9 - Compare the following expressions using the symbols <, >, =

(19 | - | 1) | ÷ | 3 | 23 | - | 6 | × | (1 | + | 2) |

### Answer : C

### Explanation

**Step 1:**

We first simplify the first expression.

19 − 1 = 18

So 19 − 1 ÷ 3 = 18 ÷ 3 = 6

**Step 2:**

Next we simplify the second expression

1 + 2 = 3

So 23 − 6(1 + 2) = 23 − 18 = 5

**Step 3:**

Since 6 > 5, the correct comparison is

19 − 1 ÷ 3 > 23 − 6(1 + 2)

Q 10 - Compare the following expressions using the symbols <, >, =

(18 | − | 2) | ÷ | 4 | 3 | + | (4 | + | 2) |

### Answer : A

### Explanation

**Step 1:**

We first simplify the first expression.

18 − 2 = 16

So (18 − 2) ÷ 4 = 16 ÷ 4 = 4

**Step 2:**

Next we simplify the second expression

4 + 2 = 6

So 3 + (4 + 2) = 3 + 6 = 9

**Step 3:**

Since 4 < 9, the correct comparison is

(18 − 2) ÷ 4 < 3 + (4 + 2)