TWENTY THREE HUNDREDTHS AS A DECIMAL

In the critical lesson, friend were presented to decimal numbers. Decimal places readjust by a element of 10. For example, let"s look at the number "3247.8956" below.

You are watching: Twenty three hundredths as a decimal

A decimal number deserve to have a whole-number part and a fountain part.

Mixed Number	- Expanded kind -	Decimal Form
	= (5 x 10) + ( 7 x 1)	+ (4 x  ) + (9 x  )	= 57.49
	- whole-number part -	- fractional part -

In this lesson, you will learn how to read and write decimals. You might use our Place Value and Decimals Chart (PDF) as a visual reference for the examples presented in this lesson.

Example 1: create each mixed number together a decimal.

Mixed Number	Decimal
	52.3000
	973.4100
	31.2670
	1842.0056

Example 2: write each expression as a blended number and as a decimal.

phrase	mixed number	decimal
five and also three tenths		5.300000
forty-nine and also one hundredth		49.010000
two hundreds sixteen and two hundreds thirty-one thousandths		216.231000
nine thousand, ten and three hundred fifty-nine ten-thousandths		9,010.035900
seventy-six thousand, fifty-three and forty-seven hundred-thousandths		76,053.000470
two hundred twenty-nine thousand and eighty-one millionths		229,000.000081

Look at the blended numbers in the instances above. You will an alert that the denominator of the fractional part is a variable of 10, making it is simple to convert to a decimal. Let"s look in ~ some examples in i m sorry the denominator is not a element of 10.

Example 3: Write each blended number together a decimal.

Analysis: A fraction bar tells us to divide. In bespeak to do this, we must convert or change the fractional part of each blended number to decimal digits. Us will execute this by separating the numerator of each portion by that is denominator.

Mixed Number	Fractional Part	Decimal
		6.9000
		9.7200
		167.1250
		149.5625

Alternate Method: It need to be provided that some of the fractions above could have been convert to decimal using equivalent fractions. Because that example:

Example 4: When asked to write two hundred thousandths as a decimal, three students gave three different answers as shown below. I beg your pardon student had the exactly answer?

Student 1: 200,000.

Student 2: 0.200

Student 3: 0.00002

Analysis: Let"s usage our location value chart to aid us analysis this problem.

	PLACE VALUE and DECIMALS
Student 1		2	0	0	0	0	0	.
Student 2							0	.	2	0	0
Student 3							0	.	0	0	0	0	2

Let"s look at the expanded kind of every decimal to aid us discover the correct answer.

Student	Number	Fraction	Expanded Form	Phrase
1	200,000.00000		2 x 100,000	two hundred thousand
2	0.20000			two hundred thousandths
3	0.00002			two hundred-thousandths

Answer: Thus, two hundred thousandths is 0.200, so college student 2 had the exactly answer.

As you can see, decimal are called by the place of the critical digit. An alert that in instance 4, the answer given by student 3 was 2 hundred-thousandths. This phrase has actually a hyphen in it. The hyphen is critical piece of information that helps united state read and also write decimals. Let"s look in ~ some more examples.

Example 5: Write each phrase as a decimal.

phrase	analysis	fraction	decimal
three hundred ten thousandths	310 thousandths		0.310
three hundred ten-thousandths	300 ten-thousandths		0.0300

Example 6: compose each expression as a decimal.

phrase	analysis	fraction	decimal
eight hundreds thousandths	800 thousandths		0.800
eight hundred-thousandths	8 hundred-thousandths		0.00008

Example 7: compose each phrase as a decimal.

phrase	analysis	fraction	decimal
seven hundreds millionths	700 millionths		0.000700
seven hundred-millionths	7 hundred-millionths		0.00000007

In instances 5 through 7, us were inquiry to write phrases as decimals. Several of the indigenous in the phrase indicate the place-value positions, and other words in the phrase suggest the digits to be used. Currently let"s look in ~ some instances in which we compose these type of decimals using words.

Example 8: write each decimal utilizing words.

Example 9: write each decimal making use of words.

Example 10:

Write the adhering to decimal utilizing words. Roll your mouse over each digit because that help.

one million, seven hundred twenty-nine thousand, four hundred five and also eight thousand, 3 hundred sixty-five millionths

Summary: You learned how to read and write decimals in this lesson. When writing a blended number as a decimal, the fractional part must be convert to decimal digits. Decimals are named by the place of the critical digit. The hyphen is an essential indicator when reading and also writing decimals. As soon as writing a expression as a decimal, some of the words show the place-value positions, and other words indicate the digits to it is in used.

Exercises

In practice 1 and 2, click once in response BOX and type in your answer; then click ENTER. After friend click ENTER, a blog post will show up in the outcomes BOX to suggest whether her answer is correct or incorrect. To start over, click CLEAR.

price BOX:    results BOX:

price BOX:    outcomes BOX: