/*! 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 52 Find the product of 8 and the su... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 52

Find the product of 8 and the sum of 0.03 and 0.002.

Short Answer

Expert verified
The product is 0.256.

Step by step solution

01

Identify the Values

We need to find the product of 8 with the sum of 0.03 and 0.002. So, the values we have are 8, 0.03, and 0.002.
02

Calculate the Sum

First, calculate the sum of 0.03 and 0.002. Add these two numbers: \[ 0.03 + 0.002 = 0.032 \]
03

Multiply to Find the Product

Next, multiply 8 by the sum we calculated in Step 2:\[ 8 \times 0.032 = 0.256 \]

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
Adding decimals involves aligning the decimal points and ensuring that each digit is in its correct place value. When we perform addition on decimals, it is similar to whole number addition but with careful attention to the decimal point.
  • First, write the numbers you want to add one under the other, aligning the decimal points.
  • Fill in any empty places with zeros, if necessary, so each column has the same number of digits.
  • Start adding from the rightmost column and move to the left.
  • Remember to carry over extra values just like in whole number addition.
In our example, you add 0.03 to 0.002:
  • Align the decimal points: 0.03
    + 0.002
  • Add zeros where needed: 0.030
    + 0.002
  • Add the digits: 0.030 + 0.002 = 0.032.
Understand that the decimal point remains directly under the other decimal points, making the addition easier and clearer.
Basic Arithmetic Operations
In mathematics, arithmetic operations include addition, subtraction, multiplication, and division. These operations are the foundation of basic math.
  • Addition: This operation helps you combine quantities, essentially finding the total or sum of numbers.
  • Multiplication: This acts as repeated addition. For example, multiplying 2 by 3 (2 x 3) is like adding 2 three times (2 + 2 + 2).
In our exercise, we apply both addition and multiplication:
  • First, we add 0.03 and 0.002.
  • Then, multiply the result by 8 to find the final product.
Understanding how these operations interact is crucial to problem-solving and everyday math tasks.
Problem-Solving with Decimals
Decimals are numbers that have a decimal point, which separates the whole number part from the fractional part. When solving problems with decimals, the key is to maintain accuracy with both the placement of the decimal point and the operation performed.
  • Identify the problem: Understand exactly what you need to solve. In our case, find the product of 8 and the sum of two decimals, 0.03 and 0.002.
  • Perform accurate operations: For decimals, ensure alignment of decimal points in addition, and carry out division or multiplication meticulously.
  • Check for accuracy: After computations, re-evaluate your decimal placements and results to confirm they're sensible and accurate.
In our example:
  • You successfully summed 0.03 and 0.002 to get 0.032.
  • Then, accurately multiplied this sum by 8 to find the product, 0.256.
By following these simple steps, dealing with decimal numbers becomes straightforward and less daunting, ensuring you solve problems with confidence.

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 the sum of 827 and 25

Carry out cach of the following divisions only so far as needed to round the results to the nearest hundredth. $$0 . 0 5 9 \longdiv { 0 . 6 9 }$$

Place the correct inequality symbol, \(<\) or \(>\) between each pair of numbers. $$\frac{1}{12} \quad \frac{1}{13}$$

Suppose a telephone company charges \(\$ 0.41\) for the first minute and then \(\$ 0.32\) for each additional minute for a long-distance call. If a long- distance call costs \(\$ 2.33,\) how many minutes was the call?

The problems below review material we covered in Section 4.9 Graph each equation. $$y=x-3$$
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Mechanics 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.