Solution:

324000000

= 324 × 106

= 3.24 × 102× 106

= 3.24 × 102+6

= 3.24 × 108

Solution:

45000000

= 45×106

= 4.5×101×106

= 4.5×101+6

= 4.5×107

Solution:

45

= 4.5×10

= 4.5×101

Solution:

101000

=1.01×100000

=1.01×105

Solution:

0.00671

= \(\frac{6.71}{100000}\)

= \(\frac{6.71×100}{10^5}\)

= 6.71×102-5

=6.71×10-3

Solution:

0.0000435

= \(\frac{0.0000435×10000000}{10000000}\)

= \(\frac{435}{10^7}\)

Solution:

0.0000435

= \(\frac{0.0000435×10000000}{10000000}\)

= \(\frac{435}{10^7}\)

Solution:

= 2.4×105

= 240000

Solution:

= 3.2×104+2.3×104

= (3.2+2.3)×104

= 5.5×104

Solution:

299792458

= 2.99792458 × 100000000

= 2.99792458 × 108 m/s

Solution:

3.2 × 104 + 2.3 × 104

= ( 3.2 + 2.3 )× 104

= 5.5× 104

Solution:

5.7× 101×-4-1

= 57× 10-4-1

= 57× 10-5

= \(\frac{57}{10^5}\)

= \(\frac{57}{100000}\)

= 0.00057

Solution:

2.6×1000 + 3.4×100

=2600 +340

= 2940

= 294×101

= 2.94×102×101

= 2.94× 103

Solution:

8.3×100 - 2.4×100

= 830-240

= 590

= 59×101

= 5.9×102

Solution:

72,000,000,000,000,000,000,000 kg.

= 72 × 1018kg

= 7.2×101×1018 kg

= 7.2×1019 kg

Solution:

9.70 × 106 + 8.3× 105

= 9.70× 106 + 0.83× 106

= (9.70 + 0.83)× 106

= 10.53×106

= \(\frac{10.53}{10}\)× 10× 106

= 1.053×101+6

= 1.053×107

Solution:

1.2× 105

= \(\frac{1.2}{10}\) × 10× 105

= 0.12× 106

Now,

( 1.2× 105) + (5.35× 106 )

= ( 0.12× 106) + (5.35× 106)

= (0.12 + 5.35)× 106

= 5.47× 106

Solution:

7.00× 10-6

= \(\frac{7.00}{10}\)× 101×10-6

= 0.70× 101-6

= 0.70× 10-5

Now,

8.41× 10-5 - 0.70× 10-5

= 8.41× 10-5 - 0.70× 10-5

= (8.41 - 0.70)× 10-5

= 7.71× 10-5

Solution:

\(\frac{1.20× 10^{-8}}{3.0×10^{-3}}\)

= \(\frac{1.20}{3}\)\(\times\)10-8 + 3

= 0.40\(\times\)10-5

= \(\frac{40}{100}\)\(\times\) 10-5

= \(\frac {4.0 \times 10^1 \times 10^{-5}}{10^2}\)

=\(\frac{4.0\times10^{1-5}}{10^2}\)

= 4.0 \(\times\)10-4-2

= 4.0\(\times\)10-6

Solution:

2.4× 10-3

= \(\frac{2.4}{10}\)× 10× 10-3 = 0.24× 10-2

Now,

6.91× 10-2 + 0.24× 10-3

= 6.91× 10-2 + 0.24× 10-2

=(6.91 + 0.24 )× 10-2

= 7.15× 10-2

Solution:

4.9 \(\times\)104

= \(\frac{4.9}{10}\)\(\times\)101\(\times\)104

= 0.49 \(\times\)101+4

= 0.49\(\times\)105

Now,

1.33\(\times\)105 - 4.9 \(\times\)104

= 1.33 \(\times\)105 - 0.49\(\times\)105

= (1.33 - 0.49) \(\times\)105

= 0.84 \(\times\)105

= \(\frac{8.4}{10}\)\(\times\)105

= 8.4\(\times\)104