Question

Solve the following sums:
1)Find 2/7 of 15 3/4

2) Simplify : 3/2 × 5 1/3

3)Divide: 3 3/7 ÷ 8/21

4)Divide 7.5 by 1.5

5) Write 93.054 in expanded form.

6)Multiply using suitable property: (-25) x 37 x (-4)

7)Find the value using distributive property:

(-35) x 12 + (-35) x 8

8)Find the value: 99 ‒ (-101)​

Answer 1

Answer:

4) 5

Step-by-step explanation:

7.5/1.5

point cut point so, we get,

75/15=5

Answer 2

Question 1 :

➻ Find $\sf\:\frac{2}{7}~of~ 15\frac{3}{4}$

‎

Solution :

$\sf\:\frac{2}{7} of 15\frac{3}{4}$

$\sf\to\:\frac{2}{7} of \frac{60}{4}$

$\sf\to\:\frac{2}{7} \times \frac{60}{4}$

$\sf\to\:\frac{120}{28}$

$\sf\to\:\cancel{\frac{120}{28}}$

$\sf\to\:\frac{30}{7}$

$\small{\underline{\boxed{\mathrm\purple{\to\:4.28}}}}$

‎

‎

Question 2 :

➻ Simplify - $\sf\:\frac{3}{2} \times 5\frac{1}{3}$

‎

Solution :

$\sf\:\frac{3}{2} \times 5\frac{1}{3}$

$\sf\to\:\frac{3}{2} \times \frac{16}{3}$

$\sf\to\:\frac{48}{6}$

$\sf\to\:\cancel{\frac{48}{6}}$

$\small{\underline{\boxed{\mathrm\purple{\to\:8}}}}$

‎

‎

Question 3 :

➻ Divide - $\sf\:3\frac{3}{7} \div \frac{8}{21}$

‎

Solution :

$\sf\:3\frac{3}{7} \div \frac{8}{21}$

$\sf\to\:\frac{24}{7} \div \frac{8}{21}$

$\sf\to\:\frac{24}{7} \times \frac{21}{8}$

$\sf\to\:\frac{24}{7} \times \frac{21}{8}$

$\sf\to\:\frac{504}{56}$

$\sf\to\:\cancel{\frac{504}{56}}$

$\small{\underline{\boxed{\mathrm\purple{\to\:9}}}}$

‎

‎

Question 4 :

➻ Divide - $\sf\:7.5~by~1.5$

‎

Solution :

$\sf\:7.5~by~1.5$

$\sf\to\:\frac{75}{10}~by~\frac{15}{10}$

$\sf\to\:\frac{\frac{75}{10}}{\frac{15}{10}}$

$\sf\to\:\frac{75}{10} \times \frac{10}{15}$

$\sf\to\:\frac{750}{150}$

$\sf\to\:\cancel{\frac{750}{150}}$

$\small{\underline{\boxed{\mathrm\purple{\to\:5}}}}$

‎

‎

Question 5 :

➻ Write 93.054 in expanded form.

‎

Solution :

Expanded form of 93.054 -

$\small{\underline{\boxed{\mathrm\purple{\to\:90+3+0.0+0.05+0.004}}}}$

‎

‎

Question 6 :

➻ Multiply using suitable property : (-25) x 37 x (-4)

‎

Solution :

$\sf\:(-25) x 37 x (-4)$

$\sf\to\:(-925) x (-4)$

As we know that -

• ( - ) × ( - ) = ( + )

$\sf\to\:(925) x (4)$

$\small{\underline{\boxed{\mathrm\purple{\to\:3700}}}}$

‎

‎

Question 7 :

➻ Find the value using distributive property:

$\sf\:(-35) x 12 + (-35) x 8$

‎

Solution :

$\sf\:(-35) x 12 + (-35) x 8$

By distributive property -

• a ( b+c ) = ab + ac

$\sf\to\:(-420) + (-35) x 8$

$\sf\to\:(-420) + (-630)$

$\sf\to\:-420 -630$

$\small{\underline{\boxed{\mathrm\purple{\to\:1050}}}}$

‎

‎

Question 8 :

➻ Find the value : 99 - ( -101 )

‎

Solution :

$\sf\:99 ‒ (-101)$

$\sf\to\:99 + 101)$

$\small{\underline{\boxed{\mathrm\purple{\to\:200}}}}$

‎

═════════════════════

‎