-1- 10-3-2- 10-2-3- 10-0-1- 10-1-2- 10-2- nbsp-123-121230-121230-211230-21

The correct option is D 1230.21Using a^0=1 and a^ m=1/a^m, (1× 10^3)+(2× 10^2)+(3× 10^0)+(1× 10^ 1)+(2× 10^ 2) =1000+200+3+(1/10)+(2/100) =1000+200+3+0.1+0.02 = ...

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Byju's Answer

Standard VIII

Mathematics

Expanded Form of a Number

(1× 10^3)+(2×...

Question

$(1 \times 10^{3}) + (2 \times 10^{2}) + (3 \times 10^{0}) + (1 \times 10^{- 1}) + (2 \times 10^{- 2})$ =

123.12

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1230.12

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1230.21

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1230.21

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Solution

The correct option is D $1230.21$
Using $a^{0} = 1$ and $a^{- m} = \frac{1}{a^{m}},$
$(1 \times 10^{3}) + (2 \times 10^{2}) + (3 \times 10^{0}) + (1 \times 10^{- 1}) + (2 \times 10^{- 2})$
$= 1000 + 200 + 3 + (\frac{1}{10}) + (\frac{2}{100})$
$= 1000 + 200 + 3 + 0.1 + 0.02$
$= 1203.12$

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Similar questions

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) $8 \times 10^{5} + 6 \times 10^{4} + 4 \times 10^{3} + 2 \times 10^{2} + 9 \times 10^{1} + 6 \times 10^{0}$

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

(1 \times 10^{3}) + (2 \times 10^{2}) + (3 \times 10^{1}) + (4 \times 10^{0}) + (2 \times 10^{- 1}) + (3 \times 10^{- 2})

Find the value of

$(2 \times 10^{4}) + (3 \times 10^{3}) + (1 \times 10^{2}) + (6 \times 10^{1}) + (7 \times 10^{0}) + (4 \times 10^{- 1}) + (2 \times 10^{- 2}) + (8 \times 10^{- 3})$

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

is the expanded form of the number ___.

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(1×103)+(2×102)+(3×100)+(1×10−1)+(2×10−2)=

The correct option is D 1230.21Using a0=1 and a−m=1am, (1×103)+(2×102)+(3×100)+(1×10−1)+(2×10−2) =1000+200+3+(110)+(2100) =1000+200+3+0.1+0.02 =1203.12

$(1 \times 10^{3}) + (2 \times 10^{2}) + (3 \times 10^{0}) + (1 \times 10^{- 1}) + (2 \times 10^{- 2})$ =

The correct option is D $1230.21$
Using $a^{0} = 1$ and $a^{- m} = \frac{1}{a^{m}},$
$(1 \times 10^{3}) + (2 \times 10^{2}) + (3 \times 10^{0}) + (1 \times 10^{- 1}) + (2 \times 10^{- 2})$
$= 1000 + 200 + 3 + (\frac{1}{10}) + (\frac{2}{100})$
$= 1000 + 200 + 3 + 0.1 + 0.02$
$= 1203.12$