/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 12 For Exercises \(9-16,\) multiply... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 12

For Exercises \(9-16,\) multiply the decimals. $$(0.2)(9)$$

Short Answer

Expert verified
1.8

Step by step solution

01

Set Up the Multiplication

Write the two numbers you need to multiply: \(0.2\text{ and } 9\)
02

Ignore the Decimal for Now

Temporarily ignore the decimal point and consider the numbers as whole numbers. So, multiply 2 by 9.
03

Multiply the Whole Numbers

Calculate the product of 2 and 9: \(2 \times 9 = 18\)
04

Reinsert the Decimal Point

Now, reinsert the decimal point in the product. Since \(0.2\) has one digit after the decimal point, the product \(18\) should have one digit after the decimal point. Thus, the answer is \(1.8\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

decimal multiplication
Multiplying decimals might seem tricky at first, but it's essentially the same as multiplying whole numbers with just a tiny twist. Understanding decimal multiplication is crucial because you'll encounter it frequently in everyday life, such as when dealing with money or measurements.
Let鈥檚 break it down:
arithmetic operations
Arithmetic operations are the basic building blocks of math, and multiplication is one of them. When multiplying decimals, you perform the operation as if they're whole numbers first.
The important part is placing the decimal point correctly in your final answer. For instance, multiplying 0.2 and 9 might confuse you because of the decimal, but by following clear steps, it becomes straightforward.
First, multiply ignoring the decimal point (2 times 9 equals 18). Then, adjust for the decimals appropriately.
basic math skills
Strong basic math skills lay the foundation for understanding more complex concepts. When it comes to decimal multiplication, the essential skills include:
  • Ignoring the decimals initially
  • Performing multiplication of whole numbers
  • Placing the decimal correctly in the final product
Practicing these steps will help you build confidence and accuracy in solving problems involving decimals.
problem-solving steps
To solve multiplication problems with decimals, follow these simple steps:
  • Step 1: Set up the numbers you're multiplying (e.g., 0.2 and 9).
  • Step 2: Ignore the decimal points temporarily and multiply the numbers as if they were whole (e.g., 2 times 9).
  • Step 3: Calculate the product (2 times 9 equals 18).
  • Step 4: Count the total number of decimal places in the numbers you鈥檙e multiplying (here, one place in 0.2).
  • Step 5: Reinsert the decimal point in the product, ensuring it has the correct number of decimal places (1.8).
Following this methodical approach helps ensure accuracy and simplifies the process of dealing with decimal multiplication.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

For Exercises \(59-66,\) simplify the expressions. $$(-2.4)^{2}$$

Round the number to the indicated place value. $$\begin{array}{|l|l|l|l|l|l|} \hline & \text { Number } & \text { Hundreds } & \text { Tens } & \text { Tenths } & \text { Hundredths } & \text { Thousandths } \\ \hline& 971.0948 & & & & & \\ \hline & {} & & & & & \\ \hline & {} & & & & & \\ \hline \end{array}$$

Jennifer earns \(\$ 720.00\) per week. Alex earns \(\frac{3}{4}\) of what Jennifer earns per week. a. How much does Alex earn per week? b. If they both work 40 hr per week, how much do they each make per hour?

Perform the indicated operations. Round the answer to the nearest hundredth when necessary. $$\left(\frac{2}{7}\right)(5.1)\left(\frac{1}{10}\right)$$

For Exercises \(83-88\) simplify by $$(78.2-60.2) \div \frac{9}{13}$$
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.