Q: Find the sum :\$280.69 + 25.2 + 38\$

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

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: (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.

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\$

Q: Find the sum : \$0.75 + 10.425 + 2\$

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

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

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

Q: Express as \$kg\$ using decimals.\$3750\ g\$

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

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\$.

Question 1

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 2

find the sum of 0.007+8.5+30.08

Accepted Answer

$\textbf{Step -1:&#10;Convert all the given decimals into like decimals.}$&#10;&#10;                 $\text{Among }).007,8.5\text{ and }30.08,$&#10;&#10;                 $0.007\text{ has maximum decimal places,&#10;i.e. }3.$&#10;&#10;                 $\text{Write }8.5\text{ and }30.08\text{&#10;also to three decimal places.}$&#10;&#10;                 $\therefore 8.5=8.500$&#10;&#10;                 $\text{and }30.08=30.080$&#10;&#10;$\textbf{Step -2: Add&#10;them.}$&#10;&#10;                 $\text{Now, simply add the three decimal&#10;numbers from right to left }$&#10;&#10;                 $\text{and place a decimal point after&#10;three places from right.}$&#10;&#10;                 $0.007+8.500+30.080=38.587$&#10;&#10;$\textbf{Hence, 0.007+8.5+30.08=38.587}$

Question 3

(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 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$$\therefore \textbf{Option B is correct.}$

Question 7

Express as $kg$ using decimals.$3750\ g$

Accepted Answer

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

Question 8

Find the value of:$9.756-6.28$

Accepted Answer

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

Question 9

$ 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$\therefore \textbf{Option (C) is correct}$

Question 10

Express 100 g in kg, using decimals.

Accepted Answer

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, $100\ g=0.1\ kg$.

Revise with Concepts

Decimals: Revision

Learn with Videos

Quick Summary With Stories

Comparing Decimals

Using Decimal Numbers to Combine Units

Find the sum : $280.69 + 25.2 + 38$

find the sum of 0.007+8.5+30.08

(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 : $0.75 + 10.425 + 2$

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

$15.8 - 6.73$ is equal to

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

Find the value of:
$9.756 - 6.28$

$0.07 + 0.008$ is equal to

Express 100 g in kg, using decimals.

Revise with Concepts

Decimals: Revision

Learn with Videos

Quick Summary With Stories

Comparing Decimals

Using Decimal Numbers to Combine Units

Find the sum :280.69+25.2+38

find the sum of 0.007+8.5+30.08

(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 : 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

Express as kg using decimals. 3750 g

Find the value of: 9.756−6.28

0.07+0.008 is equal to

Express 100 g in kg, using decimals.

Find the sum : $280.69 + 25.2 + 38$

(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 : $0.75 + 10.425 + 2$

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

$15.8 - 6.73$ is equal to

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

Find the value of:
$9.756 - 6.28$

$0.07 + 0.008$ is equal to