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.

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) 2.4**7** (ii) 11.00**3** (iii) 5.**1**75

**Solution:**

(i) 2.4**7**

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) 5.1**75

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.See more: How Many Ounces In A Key Of Coke, Free Flashcards About Cocaine Weights**

**5th grade Numbers**

**5th Grade mathematics Problems**

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