Express 3- 102 - 2 - 101 - 9- 100 - 2 - 10-1 - 5 - 10-2 as a numeral-

For any non zero integer a, nbsp;we have nbsp;a^0=1 a^ m=1/a^m (3× 10^2) + (2 × 10^1) + (9× 10^0) + (2 × 10^ 1) + (5 × 10^ 2) = (3× 100)+(2× 10)+(9× ...

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Byju's Answer

Standard VII

Mathematics

Expanding a Rational Number Using Powers

Express 3× 10...

Question

Express $(3 \times 10^{2}) + (2 \times 10^{1}) + (9 \times 10^{0}) + (2 \times 10^{- 1}) + (5 \times 10^{- 2})$ as a numeral.

329.25

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32.925

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3.2925

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3292.5

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Solution

The correct option is A
329.25

For any non-zero integer $a$ , we have

$a^{0} = 1$

$a^{- m} = \frac{1}{a^{m}}$

$(3 \times 10^{2}) + (2 \times 10^{1}) + (9 \times 10^{0}) + (2 \times 10^{- 1}) + (5 \times 10^{- 2})$
$= (3 \times 100) + (2 \times 10) + (9 \times 1) + (2 \times \frac{1}{10}) + (5 \times \frac{1}{100})$
$= 300 + 20 + 9 + 0.2 + 0.05$
$= 329.25$

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Similar questions

Express $(3 \times 10^{2}) + (2 \times 10^{1}) + (9 \times 10^{0}) + (2 \times 10^{- 1}) + (5 \times 10^{- 2})$ as a numeral.

(3 \times 10^{2}) + (2 \times 10^{1}) + (9 \times 10^{0})

expressed in numeral form is .

Q. 3

\times

10^{2}

+ 2

\times

10^{1}

+ 9

\times

10^{0}

+ 2

\times

10^{- 1}

+ 5

\times

10^{- 2}

can be expressed as

Write the numeral whose expanded form is given below:
(i) $6 \times 10^{4} + 3 \times 10^{3} + 0 \times 10^{2} + 7 \times 10^{1} + 8 \times 10^{0}$
(ii) $9 \times 10^{6} + 7 \times 10^{5} + 0 \times 10^{4} + 3 \times 10^{3} + 4 \times 10^{2} + 6 \times 10^{1} + 2 \times 10^{0}$
(iii) $8 \times 10^{5} + 6 \times 10^{4} + 4 \times 10^{3} + 2 \times 10^{2} + 9 \times 10^{1} + 6 \times 10^{0}$

5 \times 10^{2} + 6 \times 10^{1} + 9 \times 10^{0} + 2 \times 10^{- 1} + 2 \times 10^{- 2} =

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Express (3×102)+(2×101)+(9×100)+(2×10−1)+(5×10−2) as a numeral.

The correct option is A 329.25 For any non-zero integer a, we have a0=1 a−m=1am (3×102)+(2×101)+(9×100)+(2×10−1)+(5×10−2) =(3×100)+(2×10)+(9×1)+(2×110)+(5×1100) =300+20+9+0.2+0.05 =329.25

Express $(3 \times 10^{2}) + (2 \times 10^{1}) + (9 \times 10^{0}) + (2 \times 10^{- 1}) + (5 \times 10^{- 2})$ as a numeral.