Chapter 1: Q26. (page 63)

Evaluate each expression if $a = 4, b = 3$ and $c = 9$ .
$(a^{2} + 2 b c) \div 7$

Short Answer

Expert verified

The value of the given expression is $10$ .

Step by step solution

Step 1. Method of applying order of operations.

Evaluate expressions inside grouping symbols.
Evaluate all powers.
Multiply and/or divide in order from left to right.
Add or subtract in order from left to right.

Step 2. Putting the values of given variables in the expression.

$(a^{2} + 2 b c) \div 7 = (4^{2} + 2 \cdot 3 \cdot 9) \div 7 [since a = 4, b = 3, c = 9]$

Step 3. Solving bracket.

$(4^{2} + 2 \cdot 3 \cdot 9) \div 7 = (16 + 2 \cdot 3 \cdot 9) \div 7 [Evaluating power] = (16 + 54) \div 7 [Performing multiplication] = 70 \div 7 [Performing addition]$

Step 4. Simplifying the expression.

$70 \div 7 = 10 [Performing division]$

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Evaluate each expression if $a = 4, b = 3$ and $c = 9$ .
$(a^{2} + 2 b c) \div 7$

Short Answer

Step by step solution

Step 1. Method of applying order of operations.

Step 2. Putting the values of given variables in the expression.

Step 3. Solving bracket.

Step 4. Simplifying the expression.

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Evaluate each expression if a=4,b=3and c=9.a2+2bc÷7

Short Answer

Step by step solution

Step 1. Method of applying order of operations.

Step 2. Putting the values of given variables in the expression.

Step 3. Solving bracket.

Step 4. Simplifying the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Probability and Statistics

Calculus

Statistics

Mechanics Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Evaluate each expression if $a = 4, b = 3$ and $c = 9$ .
$(a^{2} + 2 b c) \div 7$