Select The Best Answer For The Question.4. $7.2 \times 12 \times 0.23 =$ ? Round To The Nearest Hundredth.A. 19.43 B. 19.87 C. 19.88 D. 19.44

Mar 1, 2025 by ADMIN 147 views

Mastering Multiplication: A Step-by-Step Guide to Solving the Question $7.2 \times 12 \times 0.23 =$ ?

In mathematics, multiplication is a fundamental operation that is used to find the product of two or more numbers. When it comes to solving multiplication problems, it's essential to follow the correct order of operations to ensure accuracy. In this article, we will guide you through the process of solving the question $7.2 \times 12 \times 0.23 =$ ?, and we will also provide you with the correct answer and explanation.

Understanding the Order of Operations

Before we dive into solving the question, it's crucial to understand the order of operations. The order of operations is a set of rules that dictates the order in which mathematical operations should be performed when there are multiple operations in an expression. The order of operations is often remembered using the acronym PEMDAS, which stands for:

Parentheses: Evaluate expressions inside parentheses first.
Exponents: Evaluate any exponential expressions next.
Multiplication and Division: Evaluate any multiplication and division operations from left to right.
Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

Solving the Question

Now that we have a good understanding of the order of operations, let's solve the question $7.2 \times 12 \times 0.23 =$ ?. To solve this question, we will follow the order of operations and perform the multiplication operations from left to right.

Step 1: Multiply 7.2 and 12

First, we will multiply 7.2 and 12.

$7.2 \times 12 = 86.4$

Step 2: Multiply 86.4 and 0.23

Next, we will multiply 86.4 and 0.23.

$86.4 \times 0.23 = 19.872$

Rounding to the Nearest Hundredth

Finally, we need to round the result to the nearest hundredth. To do this, we will look at the thousandth place, which is 2 in this case. Since the thousandth place is less than 5, we will round down to 19.87.

In conclusion, the correct answer to the question $7.2 \times 12 \times 0.23 =$ ? is B. 19.87. We followed the order of operations and performed the multiplication operations from left to right to arrive at the correct answer. Remember to always follow the order of operations when solving multiplication problems to ensure accuracy.

Additional Tips and Tricks

Here are some additional tips and tricks to help you master multiplication:

Use the commutative property of multiplication: The commutative property of multiplication states that the order of the factors does not change the product. For example, $a \times b = b \times a$ .
Use the associative property of multiplication: The associative property of multiplication states that the order in which we multiply factors does not change the product. For example, $(a \times b) \times c = a \times (b \times c)$ .
Use mental math: Mental math is the ability to perform mathematical calculations in your head. Practice mental math by performing simple multiplication operations, such as $2 \times 3$ or $5 \times 6$ .
Use real-world examples: Use real-world examples to practice multiplication. For example, if you have 3 groups of 4 pencils, how many pencils do you have in total?

In conclusion, mastering multiplication requires practice, patience, and persistence. By following the order of operations and using the tips and tricks provided in this article, you will be well on your way to becoming a multiplication master. Remember to always follow the order of operations and to use real-world examples to practice multiplication. With practice and dedication, you will become proficient in multiplication and be able to solve even the most challenging multiplication problems.
Mastering Multiplication: A Q&A Guide to Solving Multiplication Problems

In our previous article, we provided a step-by-step guide to solving the question $7.2 \times 12 \times 0.23 =$ ?. We also provided additional tips and tricks to help you master multiplication. In this article, we will answer some of the most frequently asked questions about multiplication, and provide you with even more tips and tricks to help you become a multiplication master.

Q: What is the order of operations?

A: The order of operations is a set of rules that dictates the order in which mathematical operations should be performed when there are multiple operations in an expression. The order of operations is often remembered using the acronym PEMDAS, which stands for:

Parentheses: Evaluate expressions inside parentheses first.
Exponents: Evaluate any exponential expressions next.
Multiplication and Division: Evaluate any multiplication and division operations from left to right.
Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

Q: How do I multiply two or more numbers?

A: To multiply two or more numbers, you can follow these steps:

Multiply the first two numbers.
Multiply the result by the third number.
Continue multiplying the result by each subsequent number.

For example, to multiply 7.2, 12, and 0.23, you would follow these steps:

Multiply 7.2 and 12: $7.2 \times 12 = 86.4$
Multiply 86.4 and 0.23: $86.4 \times 0.23 = 19.872$

Q: What is the commutative property of multiplication?

A: The commutative property of multiplication states that the order of the factors does not change the product. For example, $a \times b = b \times a$ .

Q: What is the associative property of multiplication?

A: The associative property of multiplication states that the order in which we multiply factors does not change the product. For example, $(a \times b) \times c = a \times (b \times c)$ .

Q: How can I practice multiplication?

A: There are many ways to practice multiplication, including:

Using flashcards to practice multiplication facts.
Playing multiplication games, such as "Multiplication War" or "Multiplication Bingo".
Using real-world examples to practice multiplication, such as calculating the cost of items at a store.
Using mental math to practice multiplication, such as calculating the product of two numbers in your head.

Q: What are some common multiplication mistakes?

A: Some common multiplication mistakes include:

Forgetting to multiply numbers in the correct order.
Forgetting to multiply numbers by zero.
Forgetting to multiply numbers by negative numbers.
Forgetting to round numbers to the correct decimal place.

Additional Tips and Tricks

Here are some additional tips and tricks to help you master multiplication:

Use the distributive property of multiplication: The distributive property of multiplication states that a single operation can be distributed over multiple operations. For example, $a(b + c) = ab + ac$ .
Use the factoring property of multiplication: The factoring property of multiplication states that a product can be factored into its prime factors. For example, $6 \times 8 = 48 = 2^4 \times 3$ .
Use the inverse property of multiplication: The inverse property of multiplication states that the product of a number and its reciprocal is equal to 1. For example, $a \times \frac{1}{a} = 1$ .
Use the identity property of multiplication: The identity property of multiplication states that the product of a number and 1 is equal to the number itself. For example, $a \times 1 = a$ .