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Standard VIII

Mathematics

Place Value and Expanded Form of a Number

Which of the ...

Question

Which of the following represents the correct expanded form of the number 2345?

2 x

10^{3}

+ 3 x

10^{2}

+ 4 x

10^{1}

+ 5 x

10^{0}

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2 x

10^{4}

+ 3 x

10^{3}

+ 4 x

10^{2}

+ 5 x

10^{0}

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2 x

10^{4}

+ 4 x

10^{3}

+ 3 x

10^{2}

+ 5 x

10^{0}

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5 x

10^{3}

+ 4 x

10^{2}

+ 3 x

10^{1}

+ 2 x

10^{0}

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Solution

The correct option is A 2 x $10^{3}$ + 3 x $10^{2}$ + 4 x $10^{1}$ + 5 x $10^{0}$
The expanded form of 2345 is
2 x 1000 + 3 x 100 + 4 x 10 + 5 x 1
= 2 x $10^{3}$ + 3 x $10^{2}$ + 4 x $10^{1}$ + 5 x $10^{0}$

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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

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. Solve:

\frac{5 x - 4}{6} = 4 x + 1 - \frac{3 x + 10}{2}

Q. Solve the following quadratic equations by factorization:

\frac{x - 2}{x - 3} + \frac{x - 4}{x - 5} = \frac{10}{3}; x \neq 3, 5

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

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Which of the following represents the correct expanded form of the number 2345?

The correct option is A 2 x 103 + 3 x 102 + 4 x 101 + 5 x 100The expanded form of 2345 is 2 x 1000 + 3 x 100 + 4 x 10 + 5 x 1 = 2 x 103 + 3 x 102 + 4 x 101 + 5 x 100

The correct option is A 2 x $10^{3}$ + 3 x $10^{2}$ + 4 x $10^{1}$ + 5 x $10^{0}$
The expanded form of 2345 is
2 x 1000 + 3 x 100 + 4 x 10 + 5 x 1
= 2 x $10^{3}$ + 3 x $10^{2}$ + 4 x $10^{1}$ + 5 x $10^{0}$