Step: Evaluate Given: (0.2)^3×5 ⇒ (0.2)^3 ⇒ 0.2×0.2×0.2 =2×2×2 =8 ⇒ 8×5 =40 0.2 has 1 decimal place and is multiplied thrice, and 5 has 0 decimal places. So, th ...

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Standard IX

Mathematics

Algebraic Identities

Evaluate :v 0...

Question

Evaluate :
v) $(0.2)^{3} \times 5$

Name: ICSEC - Grade 07 - Mathematics - Decimal Fractions (Decimals) - Q26_5
Uploaded: 2022-07-04T10:36:42+05:30
Description: Step: Evaluate Given: (0.2)^3×5 ⇒ (0.2)^3 ⇒ 0.2×0.2×0.2 =2×2×2 =8 ⇒ 8×5 =40 0.2 has 1 decimal place and is multiplied thrice, and 5 has 0 decimal places. So, th ...

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Solution

Step: Evaluate
Given: $(0.2)^{3} \times 5$
$\Rightarrow (0.2)^{3}$
$\Rightarrow 0.2 \times 0.2 \times 0.2$
$= 2 \times 2 \times 2$
$= 8$
$\Rightarrow 8 \times 5$
$= 40$
$0.2$ has $1$ decimal place and is multiplied thrice, and $5$ has $0$ decimal places. So, their product will have $1 + 1 + 1 + 0 = 3$ decimal places.
$∴ (0.2)^{3} \times 5 = 0.04$

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