How to Convert Decimal 0.1 to a Ratio

$Math Problem$

Mathematics Grade 6

Question Content

Convert 0.1 to a ratio

Correct Answer

1:10

Detailed Solution Steps

1
Step 1: Rewrite the decimal 0.1 as a fraction. 0.1 is equal to 1/10 since the 1 is in the tenths place.
2
Step 2: Convert the fraction to a ratio. The numerator becomes the first term and the denominator becomes the second term, so 1/10 = 1:10.

Knowledge Points Involved

Decimal to Fraction Conversion

Decimals can be converted to fractions by using the place value of the last digit. For a decimal with one decimal place, the denominator is 10; two decimal places use denominator 100, etc. This is used to transform decimal values into fractional form for further operations like ratio conversion.

Fraction to Ratio Conversion

A fraction a/b can be directly converted to the ratio a:b, where a is the antecedent (first term) and b is the consequent (second term) of the ratio. This works because ratios represent the same proportional relationship as fractions.

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