Question

can anyone please answer the above questions please answer all the questions please... don't spam it will be reported please answer the above questions please with the proper answer​

Answer 1

Answer:

1. (i) 564×10^-13

(ii) 21×10^-10

2. (i) 352000

(ii) 0.000754

3. 162

4. (i) Answer is in the picture above.

(ii) 3×10^17>4×10^14

5. 3^2>2^3

Step-by-step explanation:

HOPE IT IS HELPFUL.

Answer 2

Write the following numbers in standard form;

(i) 0.0000000000564

${\sf{:\implies5.64 \times {10}^{ - 11} }}$

(ii) 0.0000000021

${\sf{:\implies2.1 \times {10}^{ - 9} }}$

express the following numbers in usual

1) 3.52 × 10⁵

${\sf{:\implies352000 }}$

2) 7.54 × 10-⁴

${\sf{:\implies0.000754}}$

simplify :-

${\sf{:\implies \dfrac{12 ^{4} \times {9}^{3} \times 4 }{ {6}^{3} \times {8}^{2} \times 27 } }}$

${\sf{:\implies \dfrac{2 ^{4} \times 2 ^{4} \times {3}^{4} \times {3}^{3} \times {3}^{3} \times {2}^{2} }{ {2}^{3} \times{2}^{3} \times{2}^{2} \times {2}^{2} \times{2}^{2} \times{3}^{3} } }}$

${\sf{:\implies \dfrac{2 ^{4 + 4 + 2} \times {3}^{4 + 3 + 3} }{ {2}^{3 + 2 + 2 + 2} \times{3}^{3 + 3} } }}$

${\sf{:\implies \dfrac{2 ^{10} \times {3}^{10} }{ {2}^{9} \times{3}^{6} } }}$

${\sf{:\implies{2 ^{10} - {2}^{9} \times {3}^{10} - {3}^{6} }}}$

${\sf{:\implies{2 ^{10 - 9} \times {3}^{10 - 6} }}}$

${\sf{:\implies{2 \times {3}^{4} }}}$

${\sf{:\implies{2 \times 81 }}}$

${\sf{:\implies{162 }}}$

Compare the following numbers :

1) 2.7 × 10¹² and 1.5 × 10⁸

• 2.7 × 10¹²

${\sf{:\implies2700000000000 }}$

• 1.5 × 10⁸

${\sf{:\implies150000000 }}$

now ,

${\sf{:\implies2700000000000 > 150000000 }}$

${\sf{:\implies2.7 \times {10}^{12} > 1.5 \times {10}^{8} }}$

2) 4 × 10¹⁴ and 3 × 10¹⁷

• 4 × 10¹⁴

${\sf{:\implies400000000000000 }}$

• 3 × 10¹⁷

${\sf{:\implies300000000000000000 }}$

now ,

${\sf{:\implies300000000000000000 > 400000000000000 }}$

${\sf{:\implies4 \times {10}^{14} > 3 \times {10}^{17} }}$

which one is greater 2³ or 3²

• 2³

${\sf{:\implies2 \times 2 \times 2 }}$

${\sf{:\implies8 }}$

• 3²

${\sf{:\implies3 \times 3 }}$

${\sf{:\implies9 }}$