Question

Hlo friend plz help me​

Answer 1

Answer:

Simplify :

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - \overline{8 - 2 } \bigg)\bigg\} \bigg]}}}}$

Simplifying vinculum bar

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - \overline{8 - 2 } \bigg)\bigg\} \bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - 6\bigg)\bigg\} \bigg]}}}}$

Simplifying parentheses brackets

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - 6\bigg)\bigg\} \bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div 4\bigg\} \bigg]}}}}$

Simplifying curly brackets

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div 4\bigg\} \bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{ \dfrac{16}{4} \bigg\} \bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{ \cancel{\dfrac{16}{4}} \bigg\} \bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \times 4\bigg]}}}}$

Simplifying square brackets

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \times 4\bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + 32}}}}$

According to BODMAS rule simplifying devision

${:\implies{\small{\sf{18 \div 16 + 32}}}}$

${:\implies{\small{\sf{ \dfrac{18}{16} + 32}}}}$

${:\implies{\small{\sf{{\cancel{\dfrac{18}{16}} + 32}}}}}$

${:\implies{\small{\sf{ 1.125 + 32}}}}$

Now, according to BODMAS rule simplifying addition

${:\implies{\small{\sf{ 1.125 + 32}}}}$

${:\implies{\small{\sf{33.125}}}}$

${:\implies{\underline{\boxed{\pmb{\sf{Answer = 33.125}}}}}}$

∴ The answer is 33.125.

$\begin{gathered}\end{gathered}$

Learn More :

☼ BODMAS :

↝ BODMAS rule is an acronym used to remember the order of operations to be followed while solving expressions in mathematics.

It stands for :-

• ↠ B - Brackets,
• ↠ O - Order of powers or roots,
• ↠ D - Division,
• ↠ M - Multiplication 
• ↠ A - Addition
• ↠ S - Subtraction.

↝ It means that expressions having multiple operators need to be simplified from left to right in this order only.

☼ BODMAS RULE :

↝ First, we solve brackets, then powers or roots, then division or multiplication (whatever comes first from the left side of the expression), and then at last subtraction or addition.

• ↠ Addition (+)
• ↠ Subtraction (-)
• ↠ Multiplication (×)
• ↠ Division (÷)
• ↠ Brackets ( )

☼ EXPONENT :

↝ The exponent of a number says how many times to use the number in a multiplication.

☼ LAW OF EXPONENT :

The important laws of exponents are given below:

• ↠ ${\rm{{a}^{m} \times {a}^{n} = {a}^{m + n}}}$
• ↠ ${\rm{{a}^{m}/{a}^{n} = {a}^{m - n}}}$
• ↠ ${\rm{({a}^{m})^{n} = {a}^{mn}}}$
• ↠ ${\rm{{a}^{n}/{b}^{n} = ({a/b})^{n} }}$
• ↠ ${\rm{{a}^{0} = 1}}$
• ↠ ${\rm{{a}^{ - m} = {1/a}^{m}}}$
• ↠ ${\rm{{a}^{\frac{1}{n} } = \sqrt[n]{a}}}$

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