Find, whether the given division forms a terminating decimal or a non-terminating decimal: v. $23 \div 0.7$

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Solution

Step: Perform long division and
identify the type of decimal

Given: $23 \div 0.7$

$\Rightarrow 23 \div 0.7 = \frac{23 \times 10}{0.7 \times 10} = \frac{230}{7}$

$\Rightarrow 23 \div 0.7 = \frac{23 \times 10}{0.7 \times 10} = \frac{230}{7} = 32.8571 \dots$

$∴$ It is a non-terminating decimal.

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Farrukhsiyar's Measures

Standard X History

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Find, whether the given division forms a terminating decimal or a non-terminating decimal: v. 23÷0.7

Step: Perform long division and identify the type of decimal Given: 23÷0.7 ⇒23÷0.7=23×100.7×10=2307 ⇒23÷0.7=23×100.7×10=2307=32.8571… ∴ It is a non-terminating decimal.

Find, whether the given division forms a terminating decimal or a non-terminating decimal: v. $23 \div 0.7$

Step: Perform long division and
identify the type of decimal

Given: $23 \div 0.7$

$\Rightarrow 23 \div 0.7 = \frac{23 \times 10}{0.7 \times 10} = \frac{230}{7}$

$\Rightarrow 23 \div 0.7 = \frac{23 \times 10}{0.7 \times 10} = \frac{230}{7} = 32.8571 \dots$

$∴$ It is a non-terminating decimal.