NCERT MCQ Solutions for Class 7 Maths Ganita Prakash Chapter 2 Arithmetic Expressions

The value of an arithmetic expression is found by performing the indicated operation. Here, 13 plus 2 equals 15. Therefore, the value of 13 + 2 is 15 which is the number the expression evaluates to.

In arithmetic expressions without brackets, multiplication is done before addition. Therefore, in 30 + 5 × 4, we first evaluate 5 × 4 which is 20 and then add 30 to get 50.

The expression 6 × 2 equals 12. All other options do not evaluate to 12. Expressions like 3 × 4 or 24 ÷ 2 also yield 12 as value. So 6 × 2 is a valid option here.

The phrase “five times twenty-five” refers to multiplication. So the correct expression is 5 × 25. Multiplication is commonly used to represent repeated addition or total quantity for equal parts.

According to order of operations, evaluate the bracket first. 15 + 56 = 71. Then subtract from 100. So, 100 – 71 = 29. Hence, the value of the expression is 29.

When removing brackets preceded by a minus sign, we change the sign of each term inside. So 200 – (40 + 3) becomes 200 – 40 – 3 which is 157.

Though 1023 is greater than 1022, the second expression adds 3 more. So overall, 1022 + 128 is greater than 1023 + 125. Joy has two more marbles than Raja.

113 – 25 = 88, and 112 – 24 = 88. But both lost one more or less than the other, balancing the value to the same amount. Hence, they are equal.

According to distributive property, multiplying a number with a sum is equal to multiplying the number with each term. So, 2 × (43 + 24) = 2 × 43 + 2 × 24.

Twice of a total is represented by multiplying 2 with the entire sum. So, we use brackets to show grouping: 2 × (43 + 24). This ensures correct evaluation of the expression.

The commutative property states that changing the order of terms in addition does not affect the result. Therefore, 10 + 2 is equal to 2 + 10 by this property.

First evaluate the bracket: 14 – 6 = 8. Then multiply by 10. So, (14 – 6) × 10 = 8 × 10 = 80. This uses the order of operations correctly.

When removing brackets preceded by a minus sign, the signs of the terms inside change. 500 – (250 – 100) becomes 500 – 250 + 100 which gives the same value.

By distributive property, 5 × (4 + 3) = 5 × 4 + 5 × 3. The multiplication is distributed across the addition inside the bracket to yield the same result.

Terms in an expression are separated by a + sign. Subtraction is converted into addition of the inverse for term identification. For example, 13 – 2 + 6 has terms 13, –2 and 6.

Brackets are evaluated first. Inside the brackets, 3 + 2 is done first giving 5, then multiplied by 6 to get 30. So the correct first step is 3 + 2.

5 × 2 = 10, then add 3. So the expression equals 13. It represents three more than 5 times 2. Hence, 10 + 3 is the same as 5 × 2 + 3.

83 – 14 can be written as 83 + (–14). So, the terms are 83 and –14. We convert subtraction into addition of the inverse to identify terms correctly.

Cost of 4 dosas = 4 × 23 = ₹92. Add ₹5 as tip. Total = ₹97. So the expression 4 × 23 + 5 describes the situation correctly and yields the total.

(4 + 3) × 5 means total of 4 and 3 rows, each with 5 children. So total is 7 × 5 = 35. It combines both groups first, then multiplies by the number in each row.