Question

2405.093 in expanded form

Answer 1

Step-by-step explanation:

 2,405.093 =

 2,000  

+     400  

+          0  

+               5  

+               0.0

+             0.09

+                  0.003

2,000+400+0+5+0.0+0.09+0.003=2,405.093

Answer 2

To expand : decimal number $2405.093$

Solution :

• We know that , in the given decimal number place values of numbers are:

         Place value of $2$ = thousand  

          Place value of $4$ = hundred  

         Place value of $0$ = tens

         Place value of $5$ = units

         Place value of $0$ = tenths

         Place value of $9$ = hundredths

         Place value of $3$ = thousands  

• Therefore , to expand decimal number  we multiply given digits by their place value .
• $2405.093$

        $= 2\times 1000 + 4\times 100 + 0 \times 10 + 5\times 1 + 0\times (\frac{1}{10}) + 9 \times (\frac{1}{10} )^{2} + 3 \times (\frac{1}{10}) ^{3}$

       $= 2000 + 400+ 0 + 5 + 0.0 + 0.09 + 0.003$

Hence, expansion of $2405.093$ is $2000 + 400+ 0 + 5 + 0.0 + 0.09 + 0.003$ .