Which expression is equivalent to 5.4 x 0.18
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5.4 can be written as 54/10
0.18 can be written as 18/100
So, 5.4 x 0.18 = 54/10 * 18/100
= By, distributive property,
= (54 * 18) * (1/10 * 1/100)
Answer is (A)
The expression equivalent to 5.4 x 0.18 is [tex](54 \times 18) \times (\frac{1}{10} \times \frac{1}{100})[/tex]
Option A is correct
The given expression is:
5.4 x 0.18
Convert 5.4 to fraction
[tex]\frac{5.4}{1}[/tex]
Multiply the numerator and denominator by 10
[tex]\frac{5.4}{1} \times \frac{10}{10} = \frac{54}{10}[/tex]
Convert 0.18 to fraction by multiplying the numerator and denominator by 100
[tex]\frac{0.18}{1} \times \frac{100}{100} \\\frac{18}{100}[/tex]
Therefore, 5.4 x 0.18 can be written in fraction form as:
[tex]\frac{54}{10} \times \frac{18}{100}[/tex]
Separate the numerators and the denominators as shown below
[tex](54 \times 18) \times (\frac{1}{10} \times \frac{1}{100})[/tex]
The expression equivalent to 5.4 x 0.18 is [tex](54 \times 18) \times (\frac{1}{10} \times \frac{1}{100})[/tex]
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