Study for the Praxis Elementary Education Mathmatics test (5003). Engage with flashcards and multiple-choice questions. Each question provides hints and detailed explanations to prepare you to excel on exam day!

Multiple Choice

Convert the decimal 0.125 to a fraction. What is the fraction?

To convert the decimal 0.125 to a fraction, it helps to understand the place value of each digit in the decimal. The digit '1' is in the tenths place, '2' is in the hundredths place, and '5' is in the thousandths place. Therefore, 0.125 is equal to 125 thousandths, which can be written as the fraction 125/1000. Next, we simplify the fraction 125/1000. Both the numerator and the denominator can be divided by their greatest common divisor, which is 125. When we divide both by 125, we get: 125 ÷ 125 = 1 1000 ÷ 125 = 8 This simplification gives us the fraction 1/8. Understanding that a decimal can represent a fraction based on its decimal places and how to reduce the fraction to its simplest form is crucial. The context of this question highlights the importance of recognizing the relationship between decimals and fractions.

To convert the decimal 0.125 to a fraction, it helps to understand the place value of each digit in the decimal. The digit '1' is in the tenths place, '2' is in the hundredths place, and '5' is in the thousandths place. Therefore, 0.125 is equal to 125 thousandths, which can be written as the fraction 125/1000.

Next, we simplify the fraction 125/1000. Both the numerator and the denominator can be divided by their greatest common divisor, which is 125. When we divide both by 125, we get:

125 ÷ 125 = 1

1000 ÷ 125 = 8

This simplification gives us the fraction 1/8.

Understanding that a decimal can represent a fraction based on its decimal places and how to reduce the fraction to its simplest form is crucial. The context of this question highlights the importance of recognizing the relationship between decimals and fractions.