Question

write the expanded form of 4578.307 using powers of 10 * 1​

Answer 1

Given :- write the expanded form of 4578.307 using powers of 10 ?

Solution :-

writing in expanded form we get,

→ 4578.307 = 4000 + 500 + 70 + 8 + 0.3 + 0.00 + 0.007

we can write this as ,

→ 4578.307 = 4 * 1000 + 5 * 100 + 7 * 10 + 8 * 1 + 3 * (1/10) * 0 * (1/100) + 7 * (1/1000)

finally, writing in expanded form using power of 10,

→ 4578.307 = 4 * 10³ + 5 * 10² + 7 * 10¹ + 8 * 10⁰ + 3 * 10^(-1) + 7 * 10^(-3)

Learn more :-

(3) निम्न के स्थानीय मान लिखिये-

(अ)43.24

(स)884.20

(ब) 534.34

(द) 178.34

https://brainly.in/question/37666224

Answer 2

Given:

4578.307

To find:

write the expanded form of 4578.307 using exponents

Solution:

4578.307

Expanding form:

• Multiply each digit with it's place value.

$= > 4 \times 1000 = 4000$

$= > 5 \times 100 = 500$

$= > 7 \times 10 = 70$

$= > 8 \times 1 = 8$

$= > 3 \times \dfrac{1}{10} = \dfrac{3}{10}$

$= > 7 \times \dfrac{1}{1000} = \dfrac{7}{1000}$

Expanding by using exponents:

$4000 + 500 + 70 + 8 + \dfrac{3}{10} + 0 + \dfrac{7}{1000}$

$= > (4 \times {10}^{3} )+ (5 \times {10}^{2} ) + (7 \times {10}^{1} ) + (8) +( 3 \times {10}^{ - 1} ) + (0) + (7 \times {10}^{ - 3} )$

Know More:

expand 243.325 using exponents

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