Q: find the sum of 0.007+8.5+30.08

\textbf{Step -1: Convert all the given decimals into like decimals.} \text{Among }).007,8.5\text{ and }30.08, 0.007\text{ has maximum decimal places, i.e. }3. \text{Write }8.5\text{ and }30.08\text{ also to three decimal places.} \therefore 8.5=8.500 \text{and }30.08=30.080 \textbf{Step -2: Add them.} \text{Now, simply add the three decimal numbers from right to left } \text{and place a decimal point after three places from right.} 0.007+8.500+30.080=38.587 \textbf{Hence, 0.007+8.5+30.08=38.587}

Q: Express 100 g in kg, using decimals.

Given weight is 100\ g .We know that, 1000\ g=1\ kg \therefore \ 1\ g=\dfrac{1}{1000}\ kg .Now, 100\ g=100\times 1\ g =100\times \dfrac{1}{1000}\ kg =\dfrac{1}{10}=0.1\ kg .Hence, 100\ g=0.1\ kg .

Q: Find the value of: 9.756-6.28

{\textbf{Step - 1: Convert this numbers into fraction }} \text{Given numbers are 9.756 and 6.28} {\text{9}}{\text{.756 = }}\dfrac{{9756}}{{1000}} {\text{6}}{\text{.28 = }}\dfrac{{628}}{{100}} {\textbf{Step - 2: Perform the subtraction between two numbers}} 9.756 - 6.28 =\dfrac{{9756}}{{1000}} - \dfrac{{628}}{{100}} = \dfrac{{9756}}{{1000}} - \dfrac{{628 \times 10}}{{100 \times 10}} = \dfrac{{9756}}{{1000}} - \dfrac{{6280}}{{1000}} = \dfrac{{9756 - 6280}}{{1000}} = \dfrac{{3476}}{{1000}} = 3.476 {\textbf{ So the value of }}\mathbf{9.756 - 6.28 = 3.476}

Question 1

(a) The length of Ramesh's notebook is  9  cm  5  mm. What will be its length in cm? (b) The length of a young gram plant is  65  mm. Express its length in cm.

Accepted Answer

We know, 10\ mm=1\ cm\implies 1\ mm=0.1\ cm a) Length of ramesh notebook  = 9\ cm \,  5\ mm Length of ramesh notebook  =9 + 0.5 = 9.5\ cm b) Length of a young gram  = 65\ mm Length of a young gram  = 6.5\ cm

Question 2

Find the sum : 280.69 + 25.2 + 38

Accepted Answer

280.95 + 25.2 + 38    280.69      25.20 \underline {+\ 38.00}    {343.89}

Question 3

find the sum of 0.007+8.5+30.08

Accepted Answer

extbf{Step -1:
Convert all the given decimals into like decimals.}

ext{Among }).007,8.5	ext{ and }30.08,

0.007	ext{ has maximum decimal places,
i.e. }3.

ext{Write }8.5	ext{ and }30.08	ext{
also to three decimal places.}

herefore 8.5=8.500

ext{and }30.08=30.080

extbf{Step -2: Add
them.}

ext{Now, simply add the three decimal
numbers from right to left }

ext{and place a decimal point after
three places from right.}

0.007+8.500+30.080=38.587

extbf{Hence, 0.007+8.5+30.08=38.587}

Question 4

Find the sum :  0.75 + 10.425 + 2

Accepted Answer

0.750     10.425 \underline {+\ 2.000}    {13.175}

Question 5

Find the sum in each of the following: 25.65 +9.005 + 3.7

Accepted Answer

25.650       9.005 \underline {+\ 3.700}    {38.355}

Question 6

15.8-6.73   is equal to

Accepted Answer

To subtract two decimals, convert 15.8 into like decimals with 2 decimal places, 15.8 =15.80 Now, subtracting decimals we get, 15.80 - 6.73 = 9.07 	herefore 	extbf{Option B is correct.}

Question 7

0.07 + 0.008   is equal to

Accepted Answer

To add two decimals, we need to convert 0.07 to 3 decimal places,0.07 = 0.070Now adding both the like decimals  0.070 and 0.008, we get 	herefore 	extbf{Option (C) is correct}

Question 8

Express as  kg  using decimals. 3750\ g

Accepted Answer

As  1000g=1\ kg   \implies 1g=\dfrac{1}{1000}\ kg . 3750\ g =3750	imes 1g =3750	imes \dfrac{1}{1000}\ kg =\dfrac{3750}{1000}\ kg =3.750\ kg

Question 9

Express 100 g in kg, using decimals.

Accepted Answer

Given weight is  100\ g .We know that,  1000\ g=1\ kg 	herefore \ 1\ g=\dfrac{1}{1000}\ kg .Now,  100\ g=100	imes 1\ g            =100	imes \dfrac{1}{1000}\ kg            =\dfrac{1}{10}=0.1\ kg .Hence,  100\ g=0.1\ kg .

Question 10

Find the value of: 9.756-6.28

Accepted Answer

{	extbf{Step  -  1:
Convert this numbers into fraction  }}                       	ext{Given numbers are 9.756 and 6.28}

{	ext{9}}{	ext{.756 = }}\dfrac{{9756}}{{1000}}

{	ext{6}}{	ext{.28 = }}\dfrac{{628}}{{100}}

{	extbf{Step  -  2:
Perform the subtraction between two numbers}}

9.756 - 6.28

=\dfrac{{9756}}{{1000}} - \dfrac{{628}}{{100}}

= \dfrac{{9756}}{{1000}}
- \dfrac{{628 	imes 10}}{{100 	imes 10}}

= \dfrac{{9756}}{{1000}}
- \dfrac{{6280}}{{1000}}

= \dfrac{{9756 -
6280}}{{1000}}

= \dfrac{{3476}}{{1000}}

= 3.476

{	extbf{ So the value of }}\mathbf{9.756 - 6.28 = 3.476}

Revise with Concepts

Decimals: Revision

Learn with Videos

Quick Summary With Stories

Comparing Decimals

Using Decimal Numbers to Combine Units

Important Questions

(a) The length of Ramesh's notebook is $9$ cm $5$ mm. What will be its length in cm?
(b) The length of a young gram plant is $65$ mm. Express its length in cm.

Find the sum : $280.69 + 25.2 + 38$

find the sum of 0.007+8.5+30.08

Find the sum : $0.75 + 10.425 + 2$

Find the sum in each of the following:
$25.65 + 9.005 + 3.7$

$15.8 - 6.73$ is equal to

$0.07 + 0.008$ is equal to

Express as $k g$ using decimals.
$3750 g$

Express 100 g in kg, using decimals.

Find the value of:
$9.756 - 6.28$

Revise with Concepts

Decimals: Revision

Learn with Videos

Quick Summary With Stories

Comparing Decimals

Using Decimal Numbers to Combine Units

Important Questions

(a) The length of Ramesh's notebook is 9 cm 5 mm. What will be its length in cm? (b) The length of a young gram plant is 65 mm. Express its length in cm.

Find the sum :280.69+25.2+38

find the sum of 0.007+8.5+30.08

Find the sum : 0.75+10.425+2

Find the sum in each of the following: 25.65+9.005+3.7

15.8−6.73 is equal to

0.07+0.008 is equal to

Express as kg using decimals. 3750 g

Express 100 g in kg, using decimals.

Find the value of: 9.756−6.28

(a) The length of Ramesh's notebook is $9$ cm $5$ mm. What will be its length in cm?
(b) The length of a young gram plant is $65$ mm. Express its length in cm.

Find the sum : $280.69 + 25.2 + 38$

Find the sum : $0.75 + 10.425 + 2$

Find the sum in each of the following:
$25.65 + 9.005 + 3.7$

$15.8 - 6.73$ is equal to

$0.07 + 0.008$ is equal to

Express as $k g$ using decimals.
$3750 g$

Find the value of:
$9.756 - 6.28$