Problem 8 Write the repeated addition as m... [FREE SOLUTION]

91影视

Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

1 Edition

Chapter 1: Problem 8

Write the repeated addition as multiplication and simplify. $$2+2+2+2+2+2+2+2+2$$

Short Answer

Expert verified

2 * 9 = 18

Step by step solution

Identify the Number Being Added

Notice that the number being added repeatedly is 2.

Count the Number of Additions

Count how many times the number 2 is being added. In this case, it is added 9 times.

Express as Multiplication

Replace the repeated addition with a multiplication expression. Since 2 is added 9 times, the expression becomes: \[ 2 \times 9 \]

Simplify the Multiplication

Simplify the multiplication expression: \[ 2 \times 9 = 18 \]

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.

Repeated Addition

Repeated addition is a way of combining equal groups of a number. Instead of adding the same number over and over, we can use multiplication. For example, if you have a sequence like 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2, you are repeatedly adding the number 2.

When you see repeated addition, take note of which number is being added and how many times it鈥檚 being added. This helps in converting it to multiplication. So in our example, 2 is being added 9 times.

Multiplication

Multiplication is a mathematical operation where a number is added to itself a specified number of times. It is indicated by the multiplication sign $ \times $.

In the repeated addition example of 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2, we can express this as a multiplication problem: $ 2 \times 9 $. Here, 2 is the number being multiplied and 9 is the number of times it is being multiplied.

To convert repeated addition to multiplication:

Identify the number being added repeatedly.
Determine the number of times this number is added.
Write the multiplication expression.

So, $ 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 $ becomes $ 2 \times 9 $.

Simplification

Simplification in math means making an expression easier to understand or solve. Once you have the multiplication expression, simplifying it means finding the final product.

In our example, after converting the repeated addition to $ 2 \times 9 $, we simplify it by performing the multiplication:
$ 2 \times 9 = 18 $.
Here鈥檚 a quick checklist to simplify multiplication expressions:

Ensure you have written the correct multiplication expression.
Perform the multiplication operation.
Double-check your work to confirm the answer is correct.

So, we start with 2 being added 9 times, convert it to the multiplication $ 2 \times 9 $, and simplify to get 18.

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

Write the repeated addition as multiplication and simplify. $$2+2+2+2+2+2+2+2+2$$

Short Answer

Step by step solution

Identify the Number Being Added

Count the Number of Additions

Express as Multiplication

Simplify the Multiplication

Key Concepts

Repeated Addition

Multiplication

Simplification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Decision Maths

Mechanics Maths

Calculus

Statistics

Probability and Statistics

Study anywhere. Anytime. Across all devices.