Question

Write the following mixed fractions in decimal form and read them aloud.
1. 3 9/10
2. 1 4/10
3. 5 3/10
4. 8/10
5. 7/10​

Answer 1

Answer:

Step-by-step explanation:

We will discuss here about the expanded form of decimal fractions.

In expanded form of decimal fractions we will learn how to read and write the decimal numbers.

Decimal numbers can be expressed in expanded form using the place-value chart. Let us consider the number 561.129. Let us expand each of the digits using the place-value chart.

Expanded form of Decimal

So, we can write 561.129 in the expanded form as follows.

 

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

            = 5 hundreds + 6 tens + 1 ones + 1 tenths + 2 hundredths + 9 thousandths

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

Again,

493.2 = 4 hundreds + 9 tens + 3 ones + 2 tenths

        = 400 + 90 + 3 + 2/10

1436.74 = 1 thousands + 4 hundreds + 3 tens + 6 ones + 7 tenths + 4 hundredths

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

Note: When a decimal is missing either in the integral part or decimal part, substitute with 0.  

1. Write in expanded form:

(i) 3479.105

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

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

(ii) 7833.45

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

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

(iii) 21.1097

= 2 tens + 1 ones + 1 tenths + 0 hundredths + 9 thousandths + 7 ten thousandths

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

(iv) 524.1

= 5 hundreds + 2 tens + 4 ones + 1 tenths

= 500 + 20 + 4 + 1/10

(v) 143.011

= 1 hundreds + 4 tens + 3 ones + 0 tenths + 1 hundredths + 1 thousandths

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

(vi) 840.006

= 8 hundreds + 4 tens + 0 ones + 0 tenths + 0 hundredths + 6 thousandths

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

(vii) 64.21

= 6 tens + 4 ones + 2 tenths + 1 hundredths

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

(viii) 4334.334

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

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

2. Write as decimal fractions:

(i) 8 thousands + 8 ones + 3 tenths + 9 hundredths

= 8008.39

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

= 4007.56

(iii) 6 hundreds + 9 tens + 8 tenths + 4 thousandths

= 690.804

(iv) 3 tens + 7 ones + 6 hundredths + 8 thousandths

= 37.068

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

= 451.09

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

= 872.805

(vii) 6 tens + 5 tenths + 8 hundredths

= 60.58

(viii) 9 hundreds + 4 tens + 3 tenths + 4 hundredths

= 940.34

3. Write the following in short 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. Write the place-value of 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 hundredths or 0.07.

(ii) 11.003

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

(iii) 5.175

Place-value of 1 in 5.175 is 1 tenths or 0.1.

Answer 2

Answer:

Step-by-step explanation:

To write the given mixed fraction into decimal form.

1) $3\frac{9}{10}$

2) $1\frac{4}{10}$

3) $5\frac{3}{10}$

4) $\frac{8}{10}$

5) $\frac{7}{10}$

In the above given fraction option (1) , (2) and (3) are in the mixed fraction . And the option (4) and (5) are in the proper fraction .

So,

1) $3\frac{9}{10}$ = $\frac{39}{10}$

        = 3.9

2) $1\frac{4}{10}$ = $\frac{14}{10}$

         = 1.4

3) $5\frac{3}{10}$ = $\frac{53}{10}$

         = 5.3

4) $\frac{8}{10}$ = 0.8

5) $\frac{7}{10}$ = 0.7

Types of fraction -

°Proper fraction

Ex - $\frac{1}{2}, \frac{5}{7}, \frac{4}{9}$

°Improper fraction

Ex - $\frac{5}{3} , \frac{9}{6}, \frac{4}{3}$

THANKS.

#SPJ3.

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