/*! 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 55 Write each whole number in expan... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 55

Write each whole number in expanded form. $$39,680,000$$

Short Answer

Expert verified
39,680,000 in expanded form is 30,000,000 + 9,000,000 + 600,000 + 80,000.

Step by step solution

01

Understanding the Place Value

We start by identifying the place value of each digit in the number 39,680,000. From left to right, the number consists of 3 (ten millions), 9 (millions), 6 (hundred thousands), 8 (ten thousands). The remaining digits are zeros and should be represented accordingly.
02

Writing Each Place Value

Next, we express each digit according to its place value: \(3 \times 10,000,000\), \(9 \times 1,000,000\), \(6 \times 100,000\), \(8 \times 10,000\). The other digits are zeros and do not need separate components in the expanded form.
03

Forming the Expanded Form

Now we combine these products into a sum: \(3 \times 10,000,000 + 9 \times 1,000,000 + 6 \times 100,000 + 8 \times 10,000\). By simplifying, the expanded form is \(30,000,000 + 9,000,000 + 600,000 + 80,000\).

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.

Place Value
Understanding place value is essential when working with numbers, especially with numbers as large as 39,680,000. Place value tells us the value of each digit based on its position in a number. For instance, in the number 39,680,000, the digit '3' is in the ten millions place, meaning it represents 30,000,000.
Each position in a number has a different value:
  • The first position from the right is the ones place
  • The second position is the tens place
  • The third position is the hundreds place
  • And it continues upwards with thousands, ten thousands, hundred thousands, and so forth
Knowing the place value allows us to understand the actual worth of each digit within a number.
Whole Numbers
Whole numbers are numbers without fractions or decimals; they represent complete units. Commonly, these numbers include zero and all positive integers. Whole numbers are fundamental in various mathematical operations and form the basis for place value operations.
Whole numbers can be as simple as 0 or 1, or very large, like 39,680,000. They are integral in everyday counting and arithmetic because they describe complete, undivided quantities. Key characteristics of whole numbers include:
  • Non-negative values
  • No fractional or decimal parts
  • Infinite, starting from zero
Working with whole numbers is straightforward, especially when performing arithmetic operations such as addition and subtraction.
Writing Numbers in Expanded Form
Writing numbers in expanded form involves breaking down a whole number into the sum of its individual place values. It's like pinpointing how each digit contributes to the overall value of the number. For the number 39,680,000, we dissect it based on the place value of each digit.
To write it in expanded form:
  • First, identify the place value of each digit: 3 is in the ten millions place, 9 is in the millions, 6 is in the hundred thousands, and 8 is in the ten thousands.
  • Next, express each digit multiplied by its place value: \(3 \times 10,000,000\), \(9 \times 1,000,000\), \(6 \times 100,000\), and \(8 \times 10,000\).
  • Finally, add these values together to write the expanded form: \(30,000,000 + 9,000,000 + 600,000 + 80,000\).
Using expanded form helps in understanding how large numbers are structured and clarifies the contribution of each digit to the total number.

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

Identify each answer as correct or incorrect. Use addition to check. If the answer is incorrect, write the correct answer. $$ \begin{array}{r} 478 \\ -89 \\ \hline 389 \end{array} $$

Write each phrase as a variable expression. Use \(x\) to represent "a number." The product of a number and 7

Check to see whether each number written in standard form matches the number written in words. If not, correct the number in words.How large is a quadrillion? To get an idea, if one quadrillion dollars were divided among the population of the United States, we would each receive over 9 million dollars. Look up "quadrillion" (in the American system) and write this number in standard form.

Check each addition below. If it is incorrect, find the correct answer. $$ \begin{array}{r} 773 \\ 659 \\ +481 \\ \hline 1913 \end{array} $$

Find \(86 \div 10\) using the process of repeated subtraction.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

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.