4 - 103-2 - 102-0 - 101-2 - 100-1 - 10-1-2 - 10-2 is the expanded form of the number

The correct option is D 4202.12nbsp;(4×10^3)+(2×10^2)+(0×10^1) +(2×10^0) +(1×10^ 1)+(2× 10^ 2) =4000+200+0+(2× 1)+(1×1/10)+(2×1/100) (∵ a^0=1) =4000+200+0+2+0 ...

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Byju's Answer

Standard VIII

Mathematics

Expanded Form of a Number

4 × 103+2 × 1...

Question

$(4 \times 10^{3}) + (2 \times 10^{2}) + (0 \times 10^{1}) + (2 \times 10^{0}) + (1 \times 10^{- 1}) + (2 \times 10^{- 2})$ is the expanded form of the number ___.

4202.12

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4220.12

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4202.02

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4202.21

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Solution

The correct option is A $4202.12$
$(4 \times 10^{3}) + (2 \times 10^{2}) + (0 \times 10^{1}) + (2 \times 10^{0}) + (1 \times 10^{- 1}) + (2 \times 10^{- 2})$
$= 4000 + 200 + 0 + (2 \times 1) + (1 \times \frac{1}{10}) + (2 \times \frac{1}{100}) (∵ a^{0} = 1)$
$= 4000 + 200 + 0 + 2 + 0.1 + 0.02$
$= 4202.12$

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Similar questions

Find the number from each of the following expanded forms:

(a) 8 × 10⁴ + 6 × 10³ + 0 × 10² + 4 × 10¹ + 5 × 10⁰

(b) 4 × 10⁵+ 5 × 10³+ 3 × 10²+ 2 × 10⁰

(d) 9 × 10⁵ + 2 × 10² + 3 × 10¹

Q. Expanded form of 282.42=

2 \times 10^{2} + 8 \times 10^{1} + 2 \times 10^{0} +

+ 2 \times 10^{- 2}

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

Q. Expanded form of

243.7 = (2 \times 10^{2}) + (4 \times 10^{1}) +

(7 \times 10^{- 1}

)

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

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(4×103)+(2×102)+(0×101)+(2×100)+(1×10−1)+(2×10−2) is the expanded form of the number ___.

The correct option is A 4202.12(4×103)+(2×102)+(0×101)+(2×100)+(1×10−1)+(2×10−2) =4000+200+0+(2×1)+(1×110)+(2×1100) (∵a0=1) =4000+200+0+2+0.1+0.02 =4202.12

$(4 \times 10^{3}) + (2 \times 10^{2}) + (0 \times 10^{1}) + (2 \times 10^{0}) + (1 \times 10^{- 1}) + (2 \times 10^{- 2})$ is the expanded form of the number ___.