Q3 of 124 Page 21

Represent the following numbers in scientific notation.
(1500)³(0.0001)²

In scientific notation,

1500 = (1.5×10³) and 0.0001 = (1.0×10 ^{- 4})

∴(1500)³×(0.0001)² = (1.5×10³)³×(1.0×10 ^{- 4})²

= (1.5)³×(10³)³×(1.0)²×(10 ^{- 4})²

= 3.375 ×(10)⁹×1×(10) ^{- 8}

= 3.375×(10)¹

∴ (1500)³×(0.0001)² in scientific notation is 3.375×10¹

Write the following numbers in decimal form.

1.432 × 10^-9

Represent the following numbers in scientific notation.

(1000)² × (20)⁶

Represent the following numbers in scientific notation.

(16000)³ ÷ (200)⁴

Represent the following numbers in scientific notation.

(0.003)⁷(0.0002)⁵ ÷ ( 0.001)³

Questions · 124

2. Scientific notations of real numbers and logarithms

1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10

Represent the following numbers in scientific notation.(1500)3(0.0001)2