/*! 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 19 Give the place value of the 5 in... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 19

Give the place value of the 5 in each of the following numbers. $$4,569,000$$

Short Answer

Expert verified
The place value of 5 in 4,569,000 is 500,000.

Step by step solution

01

Identify the Position

First, locate the digit 5 within the number 4,569,000. The number is 4,569,000, where 5 falls directly after the comma following the thousands place.
02

Determine the Place Value

Next, determine the place value significance of the position that 5 occupies in the number. In 4,569,000, the 5 is in the hundred thousands place.
03

Place Value Conversion

Knowing that the 5 is in the hundred thousands place, its place value is 5 multiplied by 100,000. This gives a place value of 500,000.

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.

Understanding Number Positions
When working with large numbers, it is crucial to recognize the position of each digit. The position of a digit determines its value in the overall number.
We often hear terms like units, tens, hundreds, thousands, and so on. These descriptors tell us where a digit sits within a numerical hierarchy. For a number like 4,569,000, each digit has a specific position and associated name.
  • The rightmost digit is in the 'ones' position,
  • Next to it, moving left, is the 'tens' position,
  • Then comes the 'hundreds', 'thousands', 'ten thousands', and so forth,
Understanding these positions helps in determining the digit's role and contribution to the number.
Thus, knowing 'number positions' is like knowing the lanes on a track: it helps guide you around the number's framework.
Getting to Know the Hundred Thousands Place
The 'hundred thousands place' is a specific position in a large number, usually identifiable in numbers with at least seven digits. Finding it can initially seem overwhelming, but it becomes simple once you know how.
In a number like 4,569,000, you start counting places from the right.
  • Move past the ones, tens, hundreds, thousands...
  • Stop when you reach the sixth digit from the right.
  • The sixth position is labeled the hundred thousands place.
In our example, the digit in this place is 5, meaning it holds significant value because of its high positional power.
Each step up in place value denotes a tenfold increase in value, so this place is ten times more valuable than the ten thousands place.
Converting Numerical Values
Once you identify the specific place a digit occupies, you might wonder how to express its value. This process is known as numerical value conversion, which helps in understanding the number's magnitude.
Consider the number 4,569,000 again. In this context, numerical value conversion involves calculating the contribution of the digit 5, which is in the hundred thousands place.
  • To convert the digit's position into its value, multiply it by its positional value.
  • Since 5 is in the hundred thousands place, you multiply it by 100,000.
  • This gives 5 \(\times\) 100,000 = 500,000.
This calculation gives us a clearer view of how digits contribute to the overall value of the number.
So, think of numerical value conversion like converting a currency: it brings clarity to what you've got and its worth in the number landscape.

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 mode and the range for each set of numbers. [Example 20] $$11,27,18,11,72,11$$

Add each of the following. (All problems involve carrying in at least one column. $$\begin{array}{l} 21 \\ 43 \\ 65 \\ 87 \\ \hline \end{array}$$

The application problems that follow may involve more than merely division. Some may require addition, subtraction, or multiplication, whereas others may use a combination of two or more operations. Filling Glasses How many 32 - ounce bottles of Coke will be needed to fill sixteen 6-ounce glasses?

Add each of the following. (All problems involve carrying in at least one column. $$\begin{array}{r} 49 \\ 16 \\ \hline \end{array}$$

Find a solution for each equation. $$n+8=13$$
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

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.