Test: Arithmetic Expressions - Class 7 MCQ

To calculate the value of 4 × 100 + 1 × 20 + 1 × 10 + 2 × 1:

• First, calculate each part:
• 4 × 100 = 400
• 1 × 20 = 20
• 1 × 10 = 10
• 2 × 1 = 2

Now, add them all together:

• 400 + 20 + 10 + 2 = 432

The final value is 432.

To calculate Tamanna's total spending for lunch each week:

• She spends ₹25 each weekday.
• There are 5 weekdays (Monday to Friday).
• The arithmetic expression for her total spending is:

₹25 × 5

This simplifies to:

₹125 for the week.

In the expression -4 + 6, if you swap the terms, the  expression will be 6 - 4.

Calculating this gives:

• 6 - 4 = 2

Therefore, the  value is 2.

Swapping the terms does not change the value because addition is commutative — the order of numbers doesn't affect the result.

The expression 7 (6 × 5² + 3) involves various operations. To determine which operation is performed first, we follow the order of operations, commonly remembered by the acronym BODMAS.

In the expression:

• First, solve the exponent: 5² equals 25.
• Then, calculate inside the parentheses: 6 × 25 + 3.

Therefore, the first operation performed is exponentiation.

The expression 100 - (15 + 56) needs to be simplified. Here’s how to solve it:

• First, calculate the sum inside the parentheses: 15 + 56 = 71.
• Next, subtract this result from 100: 100 - 71 = 29.

Therefore, the answer is 29.

In the expression 30 + 5 × 4, the order of operations dictates which operation to perform first. This order is often remembered by the acronym BODMAS , Addition and Subtraction (from left to right)).

• Multiplication is performed before addition.
• Therefore, calculate 5 × 4 first, which equals 20.
• Then, add the result to 30: 30 + 20 equals 50.

In summary, the correct operation to perform first is Multiplication.

We are looking for an expression whose result is exactly 12.
Let’s evaluate each:

• A: 15 + 3 = 18 ❌

• B: 15 − 3 = 12 ✅

• C: 3 × 6 = 18 ❌

• D: 11 ÷ 2 = 5.5 ❌

So, only Option B gives the correct value.

To rewrite the expression 83 - 14 and identify its terms:

• The expression can be written as 83 and (-14).
• This clearly shows the two terms involved in the operation.
• Thus, the expression becomes 83 + (-14) for clarity.

Therefore, the correct representation is 83 + (-14).

To calculate the value of 30 + 5 × (4 ÷ 2), follow these steps:

• Start with the division: 4 ÷ 2 = 2
• Next, perform the multiplication: 5 × 2 = 10
• Finally, add this result from 30: 30 + 10 = 40

To evaluate the expression 6 × 5 + 3:

• First, calculate 6 × 5, which equals 30.
• Next, add 3 to 30.
• The final result is 33.

Step 1: Solve inside the brackets first
4 + 3 = 7

So now the expression is:
7 × 2 − 5

Step 2: Do the multiplication
7 × 2 = 14

Now the expression is:
14 − 5

Step 3: Do the subtraction
14 − 5 = 9

Parentheses indicate the order of operations in an expression. They help clarify which parts of the expression should be calculated first. This is crucial because it can significantly change the result. Here are some key points:

• Expressions inside parentheses are evaluated first.
• If no parentheses are present, operations are performed according to standard rules (e.g., multiplication before addition).
• Using parentheses can help avoid ambiguity in complex calculations.

In summary, parentheses play a vital role in determining the outcome of mathematical expressions.

The commutative property of addition states that the sum does not change when the order of the addends is switched. This means:

• If you add 2 + 3, it equals 5.
• If you switch the order and add 3 + 2, it still equals 5.

Therefore, the correct statement is that the sum remains the same regardless of the order of the addends.

The terms in the expression 12 - 7 are:

• 12
• -7

Thus, the correct answer is 12 and -7.

To calculate the total cost for 4 friends ordering dosas at ₹23 each and leaving a tip of ₹5, follow these steps:

• Cost of dosas: 4 friends × ₹23 = ₹92
• Tip: ₹5
• Total cost: ₹92 + ₹5 = ₹97

Thus, the total cost is ₹97.