Examples with solutions for Decimal Fractions' Meaning: Word writing above 1

Exercise #1

Determine the place value of 5.1

Step-by-Step Solution

To determine the place value of the digits in the decimal number 5.1, follow these steps:

  • Step 1: Identify the digit to the left of the decimal point. In 5.1, it is the digit '5', which is in the 'ones' place. This means it represents five ones or simply 55.
  • Step 2: Identify the digit to the right of the decimal point. In 5.1, it is the digit '1', which is in the 'tenths' place. This means it represents one-tenth or 110\frac{1}{10}.
  • Step 3: Combine these interpretations to express the number in words.

The number 5.1 can be written as "five ones and one tenth".

Therefore, the place value interpretation for 5.1 is "five ones and one tenth".

Answer

Five ones and one tenth

Exercise #2

Determine the place value of 6.005

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the place value of each digit in the number 6.005.
  • Step 2: Associate each digit with its corresponding place value.
  • Step 3: Match our findings with the provided answer choices.

Let's work through each step:

Step 1: The number 6.005 can be broken down as follows:
- The digit 6 is in the ones place.
- The digit 0 is in the tenths place.
- The digit 0 is in the hundredths place.
- The digit 5 is in the thousandths place.

Step 2: Converting our understanding to words, the number reads as "six ones and five thousandths."

Step 3: Comparing to answer choices, the correct description of the place values of 6.005 is "six ones and five thousandths." This matches choice 1.

Therefore, the solution to the problem is six ones and five thousandths.

Answer

Six ones and five thousandths

Exercise #3

Determine the place value of 7.02

Step-by-Step Solution

To solve this problem, we need to analyze the decimal number 7.027.02 and determine the place values of its digits:

  • First, observe the digit before the decimal point, which is 77. This digit is in the 'ones' place, representing seven units or ones.
  • After the decimal point, the digit 00 is in the tenths place, which contributes zero tenths to the number.
  • The next digit, 22, is in the hundredths place. Therefore, it represents two hundredths.

By breaking down the number 7.027.02, we can express it as:

  • Seven ones
  • Zero tenths
  • Two hundredths

Thus, correctly identifying the place values gives us: seven ones and two hundredths.

Therefore, the correct answer is: Seven ones and two hundredths.

Answer

Seven ones and two hundredths