Question

write the expanded form of 4578.307 using exponents​

Answer 1

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:

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

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