Problem 545 In the following exercises, writ... [FREE SOLUTION]

91影视

Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 5: Problem 545

In the following exercises, write as a decimal. negative five hundredths

Short Answer

Expert verified

-0.05

Step by step solution

Understand the term

The term 'negative five hundredths' means we are dealing with a negative number in the hundredths place (the second place after the decimal point).

Convert to decimal form

To convert 'five hundredths' to decimal form, write it as 0.05.

Apply the negative sign

Since the term specifically mentions 'negative,' apply a negative sign to the decimal 0.05, resulting in -0.05.

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Key Concepts

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

negative numbers

Negative numbers are values less than zero. They are usually represented with a minus sign (鈭�) in front of the number. For example, 鈭�3 and 鈭�0.05 are negative numbers.
Negative numbers are commonly used in various scenarios such as temperatures below freezing, financial debts, and elevations below sea level.
When converting to a negative decimal, ensure you correctly place the minus sign before the numeral. In our specific example, 'negative five hundredths' was converted to -0.05.

hundredths place

Understanding the hundredths place is crucial when working with decimals. The hundredths place is the second digit to the right of the decimal point. For instance, in the number 0.05, the digit 5 is in the hundredths place.
Decimals are a way of representing fractions where the numerator is divided by a power of ten. So, five hundredths means $\frac{5}{100} $ or 0.05.
It鈥檚 important to differentiate the hundredths place from the tenths place (the first digit to the right of the decimal) and the thousandths place (the third digit to the right of the decimal).

decimal notation

Decimal notation is a standardized way of writing numbers that contain a whole part and a fractional part separated by a decimal point.
For example, in the number 12.345:

The number 12 represents the whole part.
The number 345 represents the fractional part.
Each digit after the decimal point has a value based on its position.
The first digit is in the tenths place, the second in the hundredths place, and so on. For 'five hundredths,' we write it as 0.05 because the 5 is in the hundredths place.
When converting a term to decimal notation, it's essential to remember this positional value system to write numbers accurately.

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91影视

In the following exercises, write as a decimal. negative five hundredths

Short Answer

Step by step solution

Understand the term

Convert to decimal form

Apply the negative sign

Key Concepts

negative numbers

hundredths place

decimal notation

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