Write each decimal as a fraction. (Do not write in lowest terms.) 0.087

Verified step by step guidance

1. Step 1: Identify the decimal number. In this case, the decimal is 0.087.
2. Step 2: Determine the place value of the last digit in the decimal. Here, the last digit 7 is in the thousandths place.
3. Step 3: Write the decimal as a fraction with the denominator as a power of 10. Since the last digit is in the thousandths place, the denominator will be 1000.
4. Step 4: Write the fraction as 87/1000, where 87 is the numerator and 1000 is the denominator.
5. Step 5: Ensure the fraction is not simplified, as the problem specifies not to write in lowest terms.

Key Concepts

Decimal Representation

Decimals are a way of expressing numbers that are not whole, using a decimal point to separate the whole number part from the fractional part. For example, in the decimal 0.087, the '0' represents the whole number part, while '087' represents the fractional part. Understanding how decimals work is essential for converting them into fractions.

Fractions

A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (the top number) and a denominator (the bottom number). To convert a decimal to a fraction, one can express the decimal as a fraction with a denominator that is a power of ten, depending on the number of decimal places. For instance, 0.087 can be written as 87/1000.

Conversion Process

The conversion process from decimal to fraction involves identifying the place value of the last digit in the decimal. For example, in 0.087, the last digit '7' is in the thousandths place, indicating that the fraction will have a denominator of 1000. This process is crucial for accurately representing decimals as fractions without simplifying them.