Sharpen your math skills with this focused quiz on arithmetic operators, covering addition, subtraction, multiplication, division, and order of operations. Designed to help you identify common pitfalls and reinforce a strong understanding of key computational concepts.
If you calculate (8 + 12) + 5, what is the result?
Explanation: First, add the numbers inside the parentheses: 8 plus 12 equals 20. Then, 20 plus 5 equals 25, making 25 the correct answer. Option B, 20, ignores the final addition of 5. Option C, 15, miscalculates the values, and option D, 35, results from adding all numbers without proper grouping. Correctly applying grouping with parentheses is essential for an accurate answer.
When you divide 23 by 4, what is the quotient ignoring the remainder?
Explanation: Dividing 23 by 4 gives 5 full groups (4 times 5 is 20), with a remainder of 3. The question asks only for the whole number quotient, so 5 is correct. Option B, 6, is too high; option C, 8, is unrelated; and option D, 4, confuses divisor with the quotient. Careful distinction between quotient and remainder is important here.
What is the result of 5 + 3 × 2 according to the order of operations?
Explanation: Following the order of operations, multiplication is done before addition. So, 3 multiplied by 2 is 6, then add 5 to get 11. Option A, 16, erroneously adds first; option C, 21, comes from multiplying all numbers together, and option D, 8, adds incorrectly. Remembering the proper sequence is vital for problems like this.
Which of the following equations demonstrates the commutative property of multiplication?
Explanation: The commutative property states that changing the order of multiplication does not change the product, which is illustrated by 7 times 4 equals 4 times 7. Option B describes the distributive property; option C, the associative property, and option D is the identity property. Knowing the properties by definition avoids confusion between similar-sounding terms.
What is the value of 6 minus (-3)?
Explanation: Subtracting a negative number is the same as adding its positive, so 6 minus negative 3 equals 6 plus 3, which is 9. Option B, 3, results from simple subtraction without considering the sign; option C, -9, misapplies the operation; and option D, 0, is incorrect and confuses subtraction. Understanding how negatives interact is key for these calculations.