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Chapter 6: Problem 10

Write each decimal using digits. Two and one hundred seventy-seven thousandths.

Short Answer

Expert verified
2.177

Step by step solution

01

Identify the whole number part

The whole number part of the given decimal is "Two". In numerical digits, this is represented as "2".
02

Identify the decimal fraction

The decimal fraction given is "one hundred seventy-seven thousandths." This is represented as "0.177" where 177 are the digits after the decimal point in the thousandths place.
03

Combine both parts into a decimal

Combine the whole number and the decimal fraction to form the full decimal number. So, "Two and one hundred seventy-seven thousandths" is written as 2.177.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Whole Numbers
Whole numbers are the basic and simplest set of numbers we use in everyday life. They include all natural numbers starting from zero and go on infinitely. They do not include any fractions or decimals.

These are the numbers you use for counting, such as 0, 1, 2, 3, etc. Whole numbers are straightforward to understand because they involve no fractions or decimals that can complicate the counting. In the example given, the whole number is "Two," which is written as 2.

Whole numbers serve as the foundation when combining with other number types, like decimals, to express numbers more precisely.
Decimal Fractions
Decimal fractions are a way of expressing parts of a whole number, using powers of ten. They allow us to represent numbers between the whole numbers we count with. Decimal fractions have digits after the decimal point, where each digit represents a fractional part of ten.

In the example, the decimal fraction "one hundred seventy-seven thousandths" is represented by the digits 177 after the decimal point, written as 0.177. This indicates that we have 177 parts out of a thousand, where each part is one-thousandth of a whole.
  • "1" is in the tenths place, or one out of ten.
  • "7" is in the hundredths place, or seven out of one hundred.
  • "7" is in the thousandths place, or seven out of one thousand.
Decimal fractions are incredibly useful for precise measurements and comparisons in both math and real-world situations.
Place Value
Place value is a fundamental concept in understanding both whole numbers and decimal fractions. It determines the value of a digit based on its position in the number.

In whole numbers, each position to the left increases by a power of ten. In decimals, each position to the right of the decimal point decreases by a power of ten.

For the example solution of 2.177:
  • The "2" is in the units place, meaning two whole units.
  • The "1" is in the tenths place, representing one-tenth of a whole number.
  • The first "7" is in the hundredths place, representing seven hundredths.
  • The second "7" is in the thousandths place, representing seven thousandths.
Understanding place value is crucial for reading, writing, and interpreting numbers accurately. It allows us to grasp how each digit contributes to the overall value of the number.

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Most popular questions from this chapter

Perform each operation. $$ \frac{3}{8} \times 0.5625 $$

Perform the following operations. \(\frac{15}{16} \cdot\left(\frac{7}{10}-0.5\right)\)

Convert each fraction to a decimal. $$ \frac{43}{100} $$

Find the quotient. \(16 \div 27\).

Perform each operation and simplify. \(41.8 \cdot 0.19\)
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