Question

Q2 Solve the following
a. 16 ÷ 2 = ------- and 62 * ½ = --------
b. 18 ÷ ½ = ------- and 19 * 2 = ---------
c. 27 ÷ 5/3 = ------- and 45 * 3/5 = --------

Answer 1

a. 16/2=8 and 62×1/2=31
b. 18÷1/2=18×2=36 and=19×2=38
c. 27÷5/3=27×3/5=16.2 and 45×3/5=27

Answer 2

Answer:

a. 16/2 = 8 and 62×1/2 = 31

b. 18 ÷ 1/2 = 36 and 19×2 = 38

c. 27 ÷ 5/3 = 45 and 45×3/5 = 27

Step-by-step explanation:

Given:

a. 16 ÷ 2 = ------- and 62 × 1/2 = --------

b. 18 ÷ 1/2 = ------- and 19 × 2 = --------

c. 27 ÷ 5/3 = -------- and 45 × 3/5 = --------

To find:

the values of the given function

a. 16 ÷ 2 = ------- and 62 × 1/2 = --------

Step 1

Let, 16 ÷ 2

Divide the numbers 16 ÷ 2 = 8

Step 2

Follow the PEMDAS order of operations

Multiply and divide (left to right)

$&62 \times 1=62$

$&=62 / 2$

$&62 / 2=31$

$&=31$

then 62×1/2 = 31

16 ÷ 2 = 8 and 62 × 1/2 = 31

b. b. 18 ÷ 1/2 = ------- and 19 × 2 = --------

Step 3

Let, 18 ÷ 1/2

Convert element to fraction:

$\quad 18=\frac{18}{1}$

$=\frac{18}{1} \div \frac{1}{2}$

Apply the fraction rule:

$\frac{a}{b} \div \frac{c}{d}=\frac{a}{b} \times \frac{d}{c}$

$=\frac{18}{1} \times \frac{2}{1}$

Apply rule $\frac{a}{1}=a$

$=18 \times 2$

Multiply the numbers:

$18 \times 2=36$

$=36$

Step 4

Let 19 × 2 = --------

Multiply the numbers:

19 × 2 = 38

18 ÷ 1/2 = 36 and 19 × 2 = 38

c. 27 ÷ 5/3 = -------- and 45 × 3/5 = --------

Step 5

Let 27 ÷ 5/3

Convert element to fraction:

$\quad 27=\frac{27}{1}$

$=\frac{27}{1} \cdot \frac{5}{3}$

Apply the fraction rule: $\frac{a}{b} \cdot \frac{c}{d}=\frac{a \cdot c}{b \cdot d}$

$=\frac{27 \cdot 5}{1 \cdot 3}$

Multiply the numbers:

$1-3=3$

$=\frac{27 \cdot 5}{3}$

Divide the numbers:

$\frac{27}{3}=9$

Multiply the numbers:

$9 \cdot 5=45$

Step 6

45 × 3/5 = --------

Convert element to fraction:

$\quad 45=\frac{45}{1}$

$=\frac{45}{1} \times \frac{3}{5}$

Apply the fraction rule:

$\frac{a}{b} \times \frac{c}{d}=\frac{a \times c}{b \times d}$

$=\frac{45 \times 3}{1 \times 5}$

Multiply the numbers:

$1 \times 5=5$

$=\frac{45 \times 3}{5}$

Divide the numbers:

$\frac{45}{5}=9$

$=9 \times 3$

Multiply the numbers:

$9 \times 3=27$

27 ÷ 5/3 = 45 and 45 × 3/5 = 27

Therefore,

a. 16/2 = 8 and 62×1/2 = 31

b. 18 ÷ 1/2 = 36 and 19×2 = 38

c. 27 ÷ 5/3 = 45 and 45×3/5 = 27

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