what 3 digits are in the units period 9827273
Place Value and Names for Whole Numbers
Learning Object(s)
· Bump the place appreciate of a digit in a integer.
· Write a whole number in words and in acceptable kind.
· Write a whole number in expanded form.
Introduction
In this segment, you bequeath take a appear at digits and place value. You will also learn how to compose all numbers in words, standard form, and expanded form based on the place values of their digits.
The Number System
A digit is peerless of the symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9. All numbers pool are made up of unrivaled or Sir Thomas More digits. Numbers game so much as 2 have unrivalled digit, whereas numbers such as 89 accept two digits. To realise what a number really means, you need to understand what the digits represent in a given number.
The position of each finger's breadth in a act tells its value, or place value. We can utilisation a place-value chart like the one downstairs to easily see the set value for each digit. The place values for the digits in 1,456 are shown in this chart.
| Place-Value Chart | ||||||||||||||
| Trillions | Billions | Millions | Thousands | Ones | ||||||||||
| 1 | 4 | 5 | 6 | |||||||||||
| Hundreds | Tens | Ones | Hundreds | Tens | Ones | Hundreds | Tens | Ones | Hundreds | Tens | Ones | Hundreds | Tens | Ones |
In the number 1,456, the dactyl 1 is in the thousands place. The digit 4 is in the hundreds place. The finger 5 is in the tens rank, and the fingerbreadth 6 is in the ones place.
Atomic number 3 you see above, you can tell a digit's value by look its position. Look at the telephone number of digits to the decent of the digit, or write your number into a place-value graph, with the last digit in the ones column. Both these methods are shown in the example below.
| Example | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Problem | The development of a metropolis ended the early twenty years cost $962,234,532,274,312. What is the respect of the digit 6 in this come? | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Write the number in the place-value chart. Read the value of the 6 from the chart. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| $9 6 2,234,532,274,312 60,000,000,000,000 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Reply The value of the digit 6 is 60 one million million. | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
In a far away galax, thither are 2,968,351,472 stars. What does the digit 3 stage in this problem?
A) terzetto hundred thousands
B) three hundreds
C) 300 trillions
D) trio hundred millions
Show/Hide Answer
A) three one hundred thousands
Correct. The digit 3 is in the hundred thousands direct.
B) three hundreds
Inaccurate. The digit 4 is in the hundreds put down. The correct answer is three cardinal thousands.
C) deuce-ac hundred trillions
Wrong. The number is less than a trillion, so this digit does non exist here. The correct answer is triplet hundred thousands.
D) three hundred millions
Incorrect. The finger's breadth 9 is in the century millions place. The correct answer is tercet hundred thousands.
Periods and Standard Form
The accepted form of a issue refers to a type of notation in which digits are separated into groups of three aside commas. These groups of three digits are titled periods. For good example, 893,450,243 has three periods with troika digits in each period, arsenic shown below.
| Put away-Note value Chart | ||||||||||||||
| Trillions | Billions | Millions | Thousands | Ones | ||||||||||
| 8 | 9 | 3 | 4 | 5 | 0 | 2 | 4 | 3 | ||||||
| Hundreds | Tens | Ones | Hundreds | Tens | Ones | Hundreds | Tens | Ones | Hundreds | Tens | Ones | Hundreds | Tens | Ones |
Let's see the issue of digits and periods in a greater number. The number of body cells in an norm adult human is about one hundred trillion. This number is written as 100,000,000,000,000. Notice that there are 15 digits and 5 periods. Present is how the numerate would look in a place-value graph.
| Place-Value Chart | ||||||||||||||
| Trillions | Billions | Millions | Thousands | Ones | ||||||||||
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| Hundreds | Tens | Ones | Hundreds | Tens | Ones | Hundreds | Tens | Ones | Hundreds | Tens | Ones | Hundreds | Tens | Ones |
You are now familiar with the place values of greater numbers, so let's examine a problem that involves converting from accepted organise to a word distinguish.
Converting Standard Organize to Word Names
We often use word names to write Numbers. A Holy Writ diagnose for 42 is "forty-two." The total number of weeks in a twelvemonth, 52, is written as "fifty-2."
For entire numbers with three digits, function the word "hundred" to describe how more hundreds there are in the turn. For example, for the numerate of days in a normal year, 365, the digit 3 is in the hundreds place. The word name for the number is "three c cardinal-five."
For whole numbers racket with four digits, get the name with the number of thousands, followed by the historic period name, as in the example below.
| Example | ||
| Job | A man owes $2,562 connected a machine. Write the word name for this. | |
| | ||
| Answer | The parole advert is two thousand, five hundred lxii. | |
For Holy Writ name calling of greater numbers, begin at the unexhausted with the superlative period. For each period, compose the ane- to three-digit number in the period, and so the period name. See the example below.
| Exemplar | ||
| Job | The construction of a new athletic plaza cost $23,456,390. Write the discussion public figure for this number. | |
| | ||
| Response | The word name is 20-trey million, quaternity hundred cardinal-six thousand, 300 ninety. | |
Converting Word Names to Standard Physique
When converting Wor names to standard take shape, the word "thousand" tells you which period the digits are in. See the example below.
| Example | ||||||||||||||||
| Problem | Xlvii thousand, five one hundred eighty-six blueberries are produced on a farm over the of course of three years. Write this number in standard form. | |||||||||||||||
| Forty-seven thousand
Five hundred eighty-six
Monetary standard Notation is 47,586 | ||||||||||||||||
| Resolution | The number in standard form is 47,586. | |||||||||||||||
Below is an example with a list containing more digits. The words "million" and "cardinal" tell you which periods the digits are in. The periods are isolated by commas.
| Example | ||
| Problem | Thither are three hundred eight million, six hundred thirty-two thousand, 9 hundred 70-eight bacterium in a sample of soil. Write this number in standard signifier. | |
| | ||
| Answer | The number in classic form is 308,632,978. | |
Some numbers in Christian Bible form English hawthorn not credit a specific period. For instance, three million, one one hundred twelve handwritten in standard variety is 3,000,112. Because the thousands period is not mentioned, you would spell trine zeros in the thousands period. You can use a place-value chart to make it easier to see the values of the digits. See the case below.
| Example | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Problem | A caller had a new office block constructed. The net cost was cardinal billion, 300 sixty-two dollars. Write this number in standard form. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Placing this number in a place- value chart shows that the thousands period is zero. Remember to separate each period with a comma butterfly. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Answer The number written in standard physique is $74,000,362. | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Writing Numbers in Expanded Form
Sometimes information technology is useful to drop a line numbers in enlarged form. In expanded variant, the number is written as a tot of the value of each digit.
| Model | ||||
| Problem | During the workweek, Mike drives a total of 264 miles. Write 264 in expanded form. | |||
| First, identify the value of each digit. In definite quantity form: | ||||
| 2 64 | 200 | |||
| 2 6 4 | 60 | |||
| 26 4 | 4 | |||
| In word form: | ||||
| 2 64 | 2 hundreds | |||
| 2 6 4 | 6 tens | |||
| 26 4 | 4 ones | |||
| Then, write the numbers as a sum. | ||||
| Answer | 264 typewritten in expanded form is 200 + 60 + 4, surgery 2 hundreds + 6 tens + 4 ones, operating room (2 • 100) + (6 • 10) + (4 • 1) | |||
You can besides use a place-time value chart to help write a come in expanded form. Suppose the number of cars and beak-up trucks in the U.S. at this very moment is 251,834,697. Place this number in a place-valuate graph.
| Place-Value Chart | ||||||||||||||
| Trillions | Billions | Millions | Thousands | Ones | ||||||||||
| 2 | 5 | 1 | 8 | 3 | 4 | 6 | 9 | 7 | ||||||
| Hundreds | Tens | Ones | Hundreds | Tens | Ones | Hundreds | Tens | Ones | Hundreds | Tens | Ones | Hundreds | Tens | Ones |
| 2 hundred millions | 200,000,000 |
| + 5 ten millions | +50,000,000 |
| + 1 million | +1,000,000 |
| + 8 hundred thousands | +800,000 |
| + 3 ten thousands | +30,000 |
| + 4 thousands | +4,000 |
| + 6 hundreds | +600 |
| + 9 tens | +90 |
| + 7 ones | +7 |
Summary
Whole numbers that are greater than 9 consist of multiple digits. Each digit in a conferred number has a lieu value. To fitter understand place prise, numbers can be put in a place-time value graph so that the value of each digit can be identified. Numbers game with to a higher degree terzetto digits can be set-apart into groups of three digits, known as periods. Any whole number can beryllium expressed in textbook form, expanded form, or American Samoa a word figure.
what 3 digits are in the units period 9827273
Source: http://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT_RESOURCE/U01_L1_T1_text_final.html
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