/*! 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 20 Multiply as indicated. 20\. } ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 20

Multiply as indicated. 20\. } 1.2 \times 100

Short Answer

Expert verified
120

Step by step solution

01

- Understand the multiplication problem

Identify the numbers to be multiplied: 1.2 and 100.
02

- Convert to a simpler multiplication

Recognize that multiplying by 100 is the same as shifting the decimal point two places to the right.
03

- Perform the multiplication

Shift the decimal point in 1.2 two places to the right. This gives you 120.

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, but with the right approach, it's quite manageable. When we multiply decimals, what we're really doing is multiplying two numbers without decimals first, and then placing the decimal in the correct position in the result.

Imagine multiplying 1.2 by 100 as if you're multiplying 12 by 1,000. This is easier because both numbers are whole numbers now. Once you get the product, which is 12,000, you'll place the decimal point back in the correct spot.

Essentially, the step-by-step number-crunching doesn't change much from standard whole number multiplication. The key difference lies in where the decimal point ends up at the end.
Shifting Decimal Points
An important trick to understand when multiplying by powers of 10 is the concept of 'shifting decimal points'.

For example, when you multiply a number by 10, you simply move the decimal one place to the right.

For 1.2:
  • 1.2 multiplied by 10 becomes 12.0 because the decimal point moves one place to the right.
  • 1.2 multiplied by 100, on the other hand, means moving the decimal two places to the right. So, 1.2 becomes 120.
Notice how this method simplifies the process!

Instead of multiplying through long methods, you just shift the decimal to quickly get the correct answer.
Basic Arithmetic Operations
It's important to recall that multiplying numbers, whether they're whole numbers or decimals, is one of the basic arithmetic operations.

Here's a quick recap:
  • When multiplying two numbers, the order doesn't matter (commutative property). So, 1.2 times 100 is the same as 100 times 1.2.
  • Multiplication of decimals follows the same rules as whole numbers, but with careful placement of the decimal point.
  • After multiplying, count the total number of decimal places in the factors to place the decimal correctly in the product.
By practicing these principles regularly, you'll gain a solid understanding and ease with all basic arithmetic operations, including multiplying decimals.

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

Simple interest 1 in dollars is calculated using the formula \(\boldsymbol{I}=\boldsymbol{p r t}, \quad\) where p represents the principal, or amount, in dollars that is invested or borrowed, r represents the annual interest rate, expressed as a decimal, and \(t\) represents time, in years. In each exercise, find the value of the remaining variable in the simple interest formula. $$ I=\$ 33, r=2 \%, t=3 \mathrm{yr} $$

Solve each inequality. Graph the solution set, and write it using interval notation. \(6 x+3+x<2+4 x+4\)

A company that produces DVDs has found that revenue from sales of DVDs is \(\$ 5\) per DVD, less sales costs of \(\$ 100 .\) Production costs are \(\$ 125,\) plus \(\$ 4\) per \(D V D .\) Profit \((P)\) is given by revenue \((R)\) less cost \((C),\) so the company must find the production level \(x\) that makes \(P>0, \quad\) that is, \(\quad R-C>0 . \quad P=R-C\). Write an expression for production costs \(C\) in terms of \(x\).

Find the least common denominator (LCD) for the fractions in each list. 4\. \(\frac{3}{5}, \frac{1}{2}\)

Find the least common denominator (LCD) for the fractions in each list. 2\. \(\frac{7}{10}, \frac{1}{5}\)
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision 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.