Q3 of 124 Page 21

Represent the following numbers in scientific notation.
(0.003)⁷(0.0002)⁵ ÷ ( 0.001)³

In scientific notation,

0.003 = (3.0)×(10) ^{- 3}

0.0002 = (2.0)×(10) ^{- 4}

0.001 = (1.0)×(10) ^{- 3}

∴

⇒

= 6.9984×10 ^{- 28}

∴ (0.003)⁷(0.0002)⁵ ÷ (0.001)³ in scientific notation is 6.9984×10 - 28

Represent the following numbers in scientific notation.

(1500)³(0.0001)²

Represent the following numbers in scientific notation.

(16000)³ ÷ (200)⁴

Represent the following numbers in scientific notation.

(11000)³ (0.003)² ÷ (30000)

State whether each of the following statements is true or false.

(i) log₅125 = 3

(ii)

(iii) log₄(6 + 3) = log₄6 + log₄3

(v)

(vi) log_aM - N = log_aMlog_aN

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.(0.003)7(0.0002)5 ÷ ( 0.001)3