What is the expanded form of this number?

509.307


(5×100)+(9×1)+(3×110)+(7×11,000)


(5×100)+(9×10)+(3×110)+(7×11,000)


(5×100)+(9×10)+(3×1100)+(7×11,000)


(5×100)+(9×1)+(3×1100)+(7×11,000)

Respuesta :

The answer is the first one

Expanded form of 509.307 is equals to (5×100)+(9×1) +(3× [tex]\frac{1}{10}[/tex]) + (7× [tex]\frac{1}{1000}[/tex] ).

What is expanded form?

" Expanded form of any number is to split a number as per its place value of each digit."

According to the question,

Write place value of each digit of 509.307

Place value of 5 = 5 × 100

Place value of 0 = 0 × 10

Place value of 9 = 9 × 1

Place value of 3 = 3 ×(1 / 10)

Place value of 0 = 0 × ( 1/100)

Place value of 7 = 7 ×(1/ 1000)

Therefore,

Expanded form of 509.307

= (5×100)+(0 × 10)+ (9×1) +(3× [tex]\frac{1}{10}[/tex])+(0 × [tex]\frac{1}{100}[/tex]) + ( 7× [tex]\frac{1}{1000}[/tex] ).

= (5×100)+(9×1) +(3× [tex]\frac{1}{10}[/tex]) + ( 7× [tex]\frac{1}{1000}[/tex] ).

Hence, expanded form of 509.307 is equals to (5×100)+(9×1) +(3× [tex]\frac{1}{10}[/tex]) + ( 7× [tex]\frac{1}{1000}[/tex] ).

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