Problem 2 - Prealgebra

Question

Write out the name of each number in words. $$0.03$$

Step-by-Step Solution

Answer

Zero point zero three or three hundredths.

Step 1: Understand the Number

The number given is 0.03. This is a decimal number, where the whole number part is 0, and the decimal part is 03.

Step 2: Identify the Decimal Place Values

In the decimal number 0.03, the '0' is in the tenths place and the '3' is in the hundredths place.

Step 3: Convert the Decimal to Words

To write the number 0.03 in words, say 'zero point zero three'. Alternatively, this can also be described as 'three hundredths.'

Key Concepts

Decimal Numbers

Decimal numbers are numbers that include a decimal point. This point separates the whole number part from the fractional part. For example, in the number 0.03, the whole number part is 0.
The portion after the decimal indicates a part of a whole. This is especially useful when you need to represent numbers that aren't whole numbers, like 0.03, which is less than one.
Decimals are crucial in representing values like currency and measurements, where precision is key. Also, decimals are more precise than fractions when written in word form.

Place Value

Place value helps us determine the value of each digit in a number based on its position. In decimals, understanding place value is essential for accuracy.
Each position to the right of the decimal point represents a fraction of a whole number. Moving from the decimal point:

• The first position is the tenths place, which is 1/10th or 0.1 of a whole.
• The second position is the hundredths place, which is 1/100th or 0.01 of a whole.

So, in the number 0.03, the '0' in the tenths place shows there are no tenths, while the '3' in the hundredths place shows there are three hundredths.

Converting Decimals to Words

Converting decimals to words involves expressing the numerical value as spoken language, maintaining the value of the number.
Start by saying the whole number part, followed by the word 'point' to denote the decimal. Then, say each number after the decimal individually, as in 'zero point zero three'.
Alternatively, you can express it in terms of fractions relative to place value. In this manner, 0.03 becomes 'three hundredths,' because the '3' is in the hundredths place of the decimal system.