How many zeroes are there in 10 4 - 10 3 - 10 2 - 10-

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Mathematics

Division Algorithm for a Polynomial

How many zero...

Question

How many zeroes are there in $10^{4} \times 10^{3} \times 10^{2} \times 10$ ?

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Solution

There are $4$ zeroes in $10^{4}, 3$ in $10^{3}, 2$ in $10^{2}$ and $1$ in $10$
$∴$ Total $= 4 + 3 + 2 + 1 = 10$
Hence, the answer is $10.$

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Similar questions

How many zeros are there in 10⁴ × 10³ × 10² × 10?

How many significant figures are there in the product:

$(2.156 \times 10^{1}) \times (4.567891 \times 10^{2}) \times (5.1102 \times 10^{3})$

$(\frac{1}{10}) + {(\frac{1}{10})}^{2} + {(\frac{1}{10})}^{3} + {(\frac{1}{10})}^{4} =$ ?

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

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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How many zeroes are there in 104×103×102×10?

There are 4 zeroes in 104,3 in 103,2 in 102 and 1 in 10∴ Total =4+3+2+1=10Hence, the answer is 10.

How many zeroes are there in $10^{4} \times 10^{3} \times 10^{2} \times 10$ ?

There are $4$ zeroes in $10^{4}, 3$ in $10^{3}, 2$ in $10^{2}$ and $1$ in $10$
$∴$ Total $= 4 + 3 + 2 + 1 = 10$
Hence, the answer is $10.$