Problem 66 Perform the indicated operations... [FREE SOLUTION]

91影视

Chapter 6: Problem 66

Perform the indicated operations Find 0.2 of the sum of 0.194 and 1.07

Short Answer

Expert verified

0.2528

Step by step solution

Find the Sum

First, calculate the sum of the given numbers. We need to add 0.194 and 1.07 together. \[ 0.194 + 1.07 = 1.264 \]

Multiply by 0.2

Now, take the sum obtained in Step 1 and multiply it by 0.2 to find 0.2 of the sum.\[ 0.2 imes 1.264 = 0.2528 \]

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.

Addition of Decimals

When adding decimals, it's vital to line up the decimal points. This ensures each digit is in the correct place value. Let's explore how to add 0.194 and 1.07.

First, write the numbers one under another, aligning the decimal points: \[ \begin{array}{c} \ \, \mathbf{0.194} \ +\mathbf{1.070} \end{array} \]
Proceed by adding digits from right to left, just like whole numbers.
The tenths column already aligns well: 4 plus 0 equals 4, 9 plus 7 gives 16 (write down 6 and carry over 1). Place the 1 above the next column.

Don鈥檛 forget the carry!
Adding the last digits including the carryover gives 12 (remember to adjust the final decimal point). So we have a sum of 1.264.

Arithmetic Operations

Arithmetic operations are basic math operations that allow us to manipulate numbers. These include addition, subtraction, multiplication, and division. In this exercise:

The first operation is addition, combining 0.194 and 1.07 to get 1.264.
Next, we use multiplication to find part of the result: multiplying the sum by 0.2.

When multiplying decimals, consider the total number of decimal places in both numbers.
For example: 0.2 has one decimal place and 1.264 has three, giving a total of four decimal places in the product.
You proceed by multiplying as usual and then placing the decimal in the answer. Here, we multiply to find 0.2 of 1.264, which equals 0.2528.

Mathematical Problem Solving

Solving mathematical problems often involves several steps with different operations. Breaking the problem into smaller, manageable parts can make it easier. Here鈥檚 how we approached solving this problem:

Step 1: Addition was used to simplify the problem by combining numbers first, getting 1.264.
Step 2: We then used multiplication to determine what a fraction (0.2) of the sum amounted to.

Identifying what mathematical operation applies at each step is key.
Remember:

Choose the right operation based on the problem.
Use organized steps to avoid confusion.
Check your results by verifying operations and calculations.

Understanding and applying the correct arithmetic operation can simplify all sorts of math problem solving.

One App. One Place for Learning.

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

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Perform the indicated operations Find 0.2 of the sum of 0.194 and 1.07

Short Answer

Step by step solution

Find the Sum

Multiply by 0.2

Key Concepts

Addition of Decimals

Arithmetic Operations

Mathematical Problem Solving

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

Discrete Mathematics

Pure Maths

Decision Maths

Calculus

Study anywhere. Anytime. Across all devices.