In expanded type of decimal fractions we will learn how to readand write the decimal numbers.

You are watching: 9/1000 as a decimal

Decimal numbers deserve to be express in expanded form using theplace-value chart. Permit us think about the number 561.129. Allow us expand each ofthe digits utilizing the place-value chart.


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561.129 = 500 + 60 + 1 + 0.1 + 0.02 + 0.009

             = 5 hundreds + 6 10s + 1 people + 1 one per 10 + 2 percentage percent + 9 thousandths

             = 500 + 60 + 1 + 1/10 + 2/100 + 9/1000

Again,

493.2 = 4 hundreds + 9 10s + 3 ones + 2 tenths

         = 400 + 90 + 3 + 2/10

1436.74 = 1 thousands + 4 hundreds + 3 tens + 6 persons + 7 one per 10 + 4 hundredths

             = 1000 + 400 + 30 + 6 + 7/10 + 4/100

Note: When a decimal is lacking either in the integral component or decimal part, substitute through 0. 

1. Compose in expandedform:

(i) 3479.105

= 3 thousands + 4 hundreds + 7 10s + 9 ones + 1 tenths + 0hundredths+ 5 thousandths

= 3000 + 400 + 70 + 9 + 1/10 + 0/100 + 5/1000

(ii) 7833.45

= 7 thousands + 8 hundreds + 3 tens + 3 people + 4 tenths + 5hundredths

= 7000 + 800 + 30 + 3 + 4/10 + 5/100

(iii) 21.1097

= 2 10s + 1 persons + 1 one per 10 + 0 percentage percent + 9 thousandths+ 7 ten thousandths

= 20 + 1 + 1/10 + 0/100 + 9/1000 + 7/10000

(iv) 524.1

= 5 hundreds + 2 10s + 4 persons + 1 tenths

= 500 + 20 + 4 + 1/10

(v) 143.011

= 1 hundreds + 4 10s + 3 persons + 0 one per 10 + 1 hundredths + 1thousandths

= 100 + 40 + 3 + 0/10 + 1/100 + 1/1000

(vi) 840.006

= 8 hundreds + 4 10s + 0 persons + 0 tenths + 0 percentage percent + 6thousandths

= 800 + 40 + 0 + 0/10 + 0/100 + 6/1000

(vii) 64.21

= 6 tens + 4 ones + 2 one per 10 + 1 hundredths

= 60 + 4 + 2/10 + 1/100

(viii) 4334.334

= 4 thousands + 3 hundreds + 3 tens + 4 persons + 3 tenths + 3 hundredths+ 4 thousandths

= 4000 + 300 + 30 + 4 + 3/10 + 3/100 + 4/1000

2. Compose as decimalfractions:

(i) 8 thousands + 8 persons + 3 one per 10 + 9 hundredths

= 8008.39

(ii) 4000 + 7 + 5/10 + 6/100

= 4007.56

(iii) 6 hundreds + 9 tens + 8 one per 10 + 4 thousandths

= 690.804

(iv) 3 10s + 7 people + 6 percentage percent + 8 thousandths

= 37.068

(v) 400 + 50 + 1 + 9/100

= 451.09

(vi) 800 + 70 + 2 + 8/10 + 5/1000

= 872.805

(vii) 6 10s + 5 one per 10 + 8 hundredths

= 60.58

(viii) 9 hundreds + 4 10s + 3 one per 10 + 4 hundredths

= 940.34

3. Create the complying with in brief form.

(i) 100 + 0.5 + 0.06 + 0.008             (ii)80 + 1 + 0.02 + 0.005

Solution:

(i) 100 + 0.5 + 0.06+ 0.008           

= 100.568            

(ii) 80 + 1 + 0.02 + 0.005

= 81.025

4. Create the place-value the the underlined digits.

(i) 2.47                                (ii) 11.003                           (iii) 5.175

Solution:

(i) 2.47 

Place-value of 7 in 2.47 is 7 percentage percent or 0.07.

(ii) 11.003

Place-value that 3 in 11.003 is 3 thousandths or 0.003.

(iii) 5.175

Place-value of 1 in 5.175 is 1 one per 10 or 0.1.

Practice troubles on Expanded form of Decimal Fractions:

I. Create the given decimals in expanded type by fractionalexpansion.

One example has to be done for you to obtain the idea exactly how to dodecimals in expanded form by spring expansion.

1.73 = 1 + (frac710) + (frac3100)

(i) 23.8

(ii) 60.27

(iii) 119.05

(iv) 276.207

Answers:

(i) 20 + 3 + (frac810)

(ii) 60 + 0 + (frac210) + (frac7100)

(iii) 100 + 10 + 9 + 0 + (frac5100)

(iv) 200 + 70 + 6 + (frac210) + 0 + (frac7100)

II. Write the given decimals in expanded kind by decimalexpansion.

One instance has to be done for you to obtain the idea how to dodecimals in expanded type by decimal expansion.

8.461 = 8 + 0.4 + 0.06 + 0.001

(i) 6.08

(ii) 36.505

(iii) 402.613

(iv) 700.037

Answers:

(i) 6 + 0.0 + 0.08

(ii) 30 + 6 + 0.5 + 0.00 + 0.005

(iii) 400 + 0 + 2 + 0.6 + 0.01 + 0.003

(iv) 700 + 0 + 0 + 0.0 + 0.03 + 0.007

III. Compose the decimal number for the expansions givenbelow.

(i) 10 + 6 + (frac310) + (frac91000)

(ii) 600 + 20 + 7 + (frac110) + (frac3100) + (frac71000)

(iii) 2000 + 8 + (frac310) + (frac9100)

(iv) 400 + 70 + 1 + 0.5 + 0.07 + 0.002

(v) 5000 + 80 + 0 + 0.2 + 0.002

Answers:

(i) 16.309

(ii) 627.137

(iii) 2008.39

(iv) 471.572

(v) 5000 + 80 + 0 + 0.2 + 0.002 5080.202


● Decimal.

Decimal place Value Chart.

Expanded type of Decimal Fractions.

Like Decimal Fractions.

Unlike Decimal Fraction.

Equivalent Decimal Fractions.

Changing unequal to like Decimal Fractions.

Ordering Decimals

Comparison that Decimal Fractions.

Conversion the a Decimal portion into a fractional Number.

Conversion of fractions to decimal Numbers.

Addition the Decimal Fractions.

Problems on addition of Decimal Fractions

Subtraction of Decimal Fractions.

Problems on subtraction of Decimal Fractions

Multiplication that a Decimal Numbers.

Multiplication the a Decimal by a Decimal.

Properties the Multiplication of Decimal Numbers.

Problems ~ above Multiplication the Decimal Fractions

Division of a Decimal through a entirety Number.

Division the Decimal Fractions

Division the Decimal fountain by Multiples.

Division the a Decimal by a Decimal.

Division of a entirety number by a Decimal.

Properties of department of Decimal Numbers

Problems on department of Decimal Fractions

Conversion of fraction to Decimal Fraction.

Simplification in Decimals.

Word difficulties on Decimal.

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