/*! 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 9 Multiply as indicated. 9\. \(3... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 9

Multiply as indicated. 9\. \(3.5 \times 10\)

Short Answer

Expert verified
35

Step by step solution

01

Understand the Operation

The problem requires multiplication: you need to multiply 3.5 by 10.
02

Set Up the Multiplication

Write down the expression as presented: \(3.5 \times 10\)
03

Perform the Multiplication

Multiply 3.5 by 10 directly: \(3.5 \times 10 = 35\)

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.

Basic Arithmetic
Basic arithmetic forms the foundation of most mathematical calculations and includes operations like addition, subtraction, multiplication, and division. Understanding these operations is essential before diving into more complex topics. Arithmetic deals with numbers, and the relationships between them.
For this particular exercise, we focus on multiplication, one of the core arithmetic operations. Multiplication combines repeated addition of the same number. For example, multiplying 3 by 4 means adding 3, four times (3 + 3 + 3 + 3). This is a simple yet powerful operation that students must grasp thoroughly to succeed in math.
Decimal Multiplication
Decimal numbers are numbers that contain a decimal point, such as 3.5 or 7.82. When multiplying decimals, the process follows the same principles as multiplying whole numbers, but with an important additional step related to the decimal point.
In this exercise, we have to multiply 3.5 by 10.
Steps to follow:
  • Ignore the decimal point and multiply the numbers as if they were whole numbers: 35 times 10 equals 350.
  • Count the total number of decimal places in the original numbers. Here, 3.5 has one decimal place.
  • Place the decimal point in the product so that it has the same number of decimal places as the total count. So, in 350, the decimal point would move one place to the left, giving us 35.0 or simply 35.
The result of multiplying 3.5 by 10 is, therefore, 35.
Step-by-Step Solution
Breaking down the multiplication problem step-by-step helps in understanding and ensures accuracy. Let's walk through the example step-by-step:
  • Step 1: Understand the Operation: The problem is asking us to multiply two numbers, 3.5 and 10.
  • Step 2: Set Up the Multiplication: Write down the numbers to be multiplied: 3.5 and 10.
  • Step 3: Perform the Multiplication: First, multiply the whole numbers ignoring the decimal point (35 times 10 equals 350). Then, reintroduce the decimal point to the product based on the total decimal places (1 decimal place from 3.5).
Therefore, the final answer is 35.
Following these steps ensures that even more complex decimal multiplications can be tackled efficiently and accurately.

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

Find two consecutive odd integers such that 59 more than the lesser is four times the greater.

In one day, a store sold \(\frac{2}{3}\) as many DVDs as Blu-ray discs. The total number of DVDs and Blu-ray discs sold that day was \(280 .\) How many DVDs were sold?

The value of a "Mint State-63" (uncirculated) 1950 Jefferson nickel minted at Denver is twice the value of a 1945 nickel in similar condition minted at Phil- adelphia. Together, the total value of the two coins is \(\$ 24.00 .\) What is the value of each coin? (Data from Yeoman, R., A Guide Book of United States Coins.)

A medication contains \(9 \mathrm{mg}\) of active ingredients for every \(1 \mathrm{mg}\) of inert ingredients. How much of each kind of ingredient would be contained in a single 250 -mg caplet?

To see the connection between the solution of an equation and the solutions of the corresponding inequalities. Solve the following equation, and graph the solution set on a number line. \(3 x+2=14\)
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

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.