Problem 19 Complete the following table by ... [FREE SOLUTION]

Chapter 2: Problem 19

Complete the following table by writing the value of each expression in the Value column. Expression \(6+3 * 5\) \(12 / 2-4\) \(9+14 * 2-6\) \((6+2) * 3\) \(14 /(11-4)\) \(9+12 *(8-3)\)

Short Answer

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Question: Evaluate the following expressions according to BIDMAS/PEMDAS rule: 1. \(6 + 3 * 5\) 2. \(12 / 2 - 4\) 3. \(9 + 14 * 2 - 6\) 4. \((6 + 2) * 3\) 5. \(14 / (11 - 4)\) 6. \(9 + 12 * (8 - 3)\) Answer: 1. \(6 + 3 * 5 = 21\) 2. \(12 / 2 - 4 = 2\) 3. \(9 + 14 * 2 - 6 = 31\) 4. \((6 + 2) * 3 = 24\) 5. \(14 / (11 - 4) = 2\) 6. \(9 + 12 * (8 - 3)=69\)

Step by step solution

Understanding BIDMAS/PEMDAS

BIDMAS or PEMDAS is an acronym that represents the correct order of operations in mathematics. It stands for Brackets/parentheses (B/P), Indices/Exponents (I/E), Division(Multiplication) (D/M), and Addition/Subtraction (A/S). With this rule, anything in brackets is done first, followed by exponentiation or indices, then division (or multiplication, whichever comes first from left to right), and finally addition (or subtraction, whichever comes first from left to right). Always apply these operations in this sequence to correctly solve mathematical expressions.

Apply BIDMAS/PEMDAS to each expression

Now apply the BIDMAS/PEMDAS rule to each of the given expressions step by step.

Evaluate \(6+3 * 5\)

According to BIDMAS/PEMDAS, multiplication is done before addition. So, first multiply 3 and 5 to get 15, then add 6 to 15 to get 21. So, \(6 + 3 \times 5 = 21\).

Evaluate \(12 / 2-4\)

In this expression, division should be done first, so first divide 12 by 2 to get 6, then subtract 4 from 6 to get 2. Therefore, \(12 / 2 - 4 = 2\).

Evaluate \(9+14 * 2-6\)

Here, multiple operations are involved. First perform the multiplication 14 * 2 to get 28, next add 9 to 28 to get 37, and finally subtract 6 from 37 to get 31. Thus, \(9 +14 \times 2 -6 = 31\).

Evaluate \((6+2) * 3\)

For this expression, the operation inside the bracket should be done first. So first add 6 and 2 to get 8, then multiply this by 3 to get 24. Hence, \((6 + 2) \times 3 = 24\).

Evaluate \(14 /(11-4)\)

Following BIDMAS, the operation inside the bracket should be done first. Subtract 4 from 11 to get 7, then divide 14 by this result to get 2. So, \(14 / (11 - 4) = 2\).

Evaluate \(9+12 *(8-3)\)

In this expression, do the bracket operation first, subtract 3 from 8 to get 5, then multiply this result by 12 to get 60, and finally add 9 to this number to get 69. Therefore, \(9 + 12 \times (8 - 3) = 69\).

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Complete the following table by writing the value of each expression in the Value column. Expression \(6+3 * 5\) \(12 / 2-4\) \(9+14 * 2-6\) \((6+2) * 3\) \(14 /(11-4)\) \(9+12 *(8-3)\)

Short Answer

Step by step solution

Understanding BIDMAS/PEMDAS

Apply BIDMAS/PEMDAS to each expression

Evaluate \(6+3 * 5\)

Evaluate \(12 / 2-4\)

Evaluate \(9+14 * 2-6\)

Evaluate \((6+2) * 3\)

Evaluate \(14 /(11-4)\)

Evaluate \(9+12 *(8-3)\)

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