Problem 25 Multiply. $$ \begin{array}{r... [FREE SOLUTION]

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Basic College Mathematics

Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson

$Math Studyset 91影视 Explanations$ Math

13 Edition

Chapter 4: Problem 25

Multiply. $$ \begin{array}{r} 374 \\ \times \quad 2.4 \\ \hline \end{array} $$

Short Answer

Expert verified

897.6

Step by step solution

Multiply without the decimal

First, disregard the decimal point in 2.4, and treat it as 24. Now, multiply 374 by 24 as if they are whole numbers.

Multiply each digit

Start by multiplying 374 by 4: \[ 374 \times 4 = 1496 \]. Next, multiply 374 by 20 (since 24 = 20 + 4): \[ 374 \times 20 = 7480 \].

Add the results

Now, add the two products together: \[ 1496 + 7480 = 8976 \].

Adjust for the decimal

Since 2.4 has one decimal place, place the decimal point in the product (8976) to have one decimal place: \[ 897.6 \].

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Decimal Multiplication

Multiplying decimals can be confusing, but it becomes simpler when you break it down into steps.
To multiply decimals, first ignore the decimal points and perform the multiplication as if you're dealing with whole numbers.
After you get the product, count the total number of decimal places in the factors.
Finally, place the decimal point in the product so that it has the same number of decimal places as the sum of those in the original numbers.

Arithmetic Operations

In decimal multiplication, the key arithmetic operations include multiplication and addition.
Here's a quick rundown of the steps for the given exercise:

First, multiply each digit, just as you would with whole numbers.
Combine intermediate products using addition.

As seen in the solution:

Multiply 374 by 4 to get 1496.
Multiply 374 by 20 (since 2.4 can be split into 2 + 0.4) to get 7480.

Finally, add up the results: 1496 + 7480 = 8976.
Remember to adjust the decimal in your final step!

Step-by-Step Math Problems

Solving math problems step-by-step is crucial for understanding and accuracy.
Breaking down the process into smaller, manageable steps eliminates confusion and prevents errors.
For our specific exercise:

Step 1: Disregard the decimal point and multiply as whole numbers: 374 脳 24.
Step 2: Multiply each part separately (374 脳 4 and 374 脳 20).
Step 3: Sum the intermediate products (1496 + 7480).
Step 4: Account for the decimal point.

This systematic approach not only makes problems easier to tackle but also helps reinforce core mathematical concepts.

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91影视

Multiply. $$ \begin{array}{r} 374 \\ \times \quad 2.4 \\ \hline \end{array} $$

Short Answer

Step by step solution

Multiply without the decimal

Multiply each digit

Add the results

Adjust for the decimal

Key Concepts

Decimal Multiplication

Arithmetic Operations

Step-by-Step Math Problems

One App. One Place for Learning.

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