Question

(4) Find the number from each of the following expanded c) 3 × 104 + 7 × 102 + 5 × 100​

Answer 1

Answer :

• 3 × 10⁴ + 7 × 10² + 5 × 10⁰ = 3075

Given:

• 3 × 10⁴ + 7 × 10² + 5 × 10⁰

Solution:

Method (1) :

⟾ 3 × 10⁴ + 7 × 10² + 5 × 10⁰

⟾ 3 × 10⁴ + 0 × 10² + 0 + 10¹ + 5 ×10⁰

⟾ 30,75

Method (2) :

⟾ 3 × 10⁴ + 7 × 10² + 5 × 10⁰

⟾ 3 × 10000 + 0 × 1000 + 7 × 100 + 0 × 10 + 5 × 1

⟾ 30, 75

Hence 3 × 10⁴ + 7 × 10² + 5 × 10⁰ = 3075

Explaination more :

• In expanded form we write the number by showing that the value of digit
• Expanded form is also a way to breakup the number to show that how much each digit are there in number
• And also show the value of power of 10
• And also way to write numbers by showing the value

Answer 2

$♡ {\underline{ \mathfrak\purple{ Correct \: Question }}}♡$

➜ Find the number from each of the following expanded .

$\small✦ \: \: \small \bf{ 3 \times {10}^{4} + 7 \times {10}^{2} + 5 \times {10}^{0} } ✦ \: \:$

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$♡ {\underline{ \mathfrak\purple{ To \: Find }}}♡$

• $\small \sf \: the\: expanded \: form$

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$♡ {\underline{ \mathfrak\purple{SoluTion }}}♡$

$\small \sf The \: expanded \: form \: is -$

$\small \sf ↬( 3 \times {10}^{4} ) + (7 \times {10}^{2}) +( 5 \times {10}^{0} )$

$\small \sf ↬ (3 \times 10000) + (0 \times 1000) + (7 \times 100) + (0 + 10) + (5 \times 1)$

$\small\sf ↬ 30000 + 0 + 700 + 0 + 5$

$\small \sf ↬ 30,705$

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$♡ {\underline{ \mathfrak\purple{ More \: to \: explore }}}♡$

Exponents:- Exponents are used to express large numbers in shorter form to make them easy to read, understand and compare.

For example ⇏ 7²+2+6

• Here 2 is the exponent .

Expanded form :-

For example ⇏ 258932

$\small \sf ⇏2 \times 100000 + 5 \times 10000 \times 8 \times 1000 + 9 \times 100 + 3 \times 10 + 2 \times 1$

$\small \sf Or \: we \: can \: also \: write \: like \: this-$

$\small \sf ⇏ 2 \times {10}^{5} + 5 \times {10}^{4} + 8 \times {10}^{3} + 9 \times {10}^{2} + 3 \times {10}^{1} + 2 \times 1$

Important point :-

• $\small \sf \: (-1) {}^{odd \: number} =(-1)$

• $\small \sf (-1) {}^{even \: number} =1$

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$\\ \bigstar{ \underline{ \underline \pink{ \sf★@iTzShInNy☆}}} \bigstar$

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