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Lesechka [4]
3 years ago
14

20 points , will mark brainiest :)

Mathematics
2 answers:
tester [92]3 years ago
7 0

Answer:

1) 5417.412

2) 401.13

Step-by-step explanation:

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

$ 5 \times 10^3 = 5000 $\\ $  4 \times 10^2 = 400 $ \\ $   1 \times 10^1 = 10 $\\$  7 \times 10^0 = 7 \times 1 = 7 $\\$  4 \times \frac{1}{10^1} = 0.4 $\\$ 1 \times \frac{1}{10^2} = 0.01 $\\ $  2  \times \frac{1}{10^3} = 0.02 $ \\

Combining we have: $ 5000 + 400 + 10 + 7 + 0.4 + 0.01 + 0.002 = $ 5417.412.

2) $ 4 \times 10^2 + 1 \times 1\frac{1}{10^1} + 3 \times \frac{1}{10^2} $

$ 4 \times 10^2 = 400 $\\$ 1 \times 1\frac{1}{10^1} = 1 \times \frac{11}{10} = 1 \times 1.1 = 1.1 $\\$ 3 \times \frac{1}{10^2} = 0.03 $

Combining we have: 400 + 1.1 + 0.03 = 401.13.

Hence, we have the answers.

son4ous [18]3 years ago
5 0

Answer:

A) The sum of given digits is 5417.412

B ) The sum of given digits is 401.103  

Step-by-step explanation:

Given sum of numbers as :

A ) 5 × 10³ + 4 × 10² + 1 × 10^{1} + 7 × 10^{0} + 4 × \frac{1} {10^{1}} + 1 × \frac{1}{10^{2}} + 2 × \frac{1}{10^{3}}

Or , 5000 + 400 + 10 + 7 × 1 + 0.4 + 0.01 + 0.002

or, ( 5400 + 10 + 7 ) + ( 0.4 + 0.01 + 0.002 )

Or, 5417 + 0.412

Or, 5417.412

Hence The sum of given digits is 5417.412

B ) 4 × 10² + 1 × ( 1 \frac{1} {10^{1}} ) + 3 × \frac{1}{10^{3}}

Or, 400 + 1 × (\frac{10+1}{10} ) + 0.003

Or, 400 + \frac{11}{10} + 0.003

Or, 400 + 1.1 + 0.003

Or, 401.103

Hence The sum of given digits is 401.103  

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