What is 0.7 as a number?

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Learn the basics of how to calculate percentages of quantities in this easy lesson! To find a percentage of any number, use this generic guideline of TRANSLATION: Change the percentage into a decimal, and the word "of" into multiplication. See many examples below.

The concepts and ideas of this lesson are also explained in this video:

1. "Translate" the expressions into multiplication by a decimal. Calculate.

2. "Translate" the other way: write the multiplications as expressions of "percentage of the number".

    a. 17% of $4500

    b. 67% of 27 m

4. Use mental math to find percentages of these quantities.

5. a. A lake has a 30-km long shoreline. 6% of it is sandy beach. What percentage of the shoreline is not sandy beach?

6. Twenty percent of a university’s 4,000 students have a scholarship.

    a. What percent of the students do not have a scholarship?

    b. How many students have a scholarship?

8. Identify the errors that Gladys made. Then find the correct answer.

Find 80% of 50.

    Gladys’s solution:
    80 × 50 = 4,000

9. Find the expressions with the same value as 20% of $620.

11. The table below shows Andy’s usage of time in one day.

      a. Calculate the time he spent in each activity.
    Round the minutes to the nearest minute.

      b. Label the sections in the circle graph with the name of each activity.
 

Andy’s Usage of Time

Percent – free lesson

Percentage of a number using mental math – free lesson

How to calculate percentages – free lesson

Basics of percent of change – free lesson

Interactive fraction, decimal and percentage tool This tool shows you a fraction visually (bar or pie) and converts the fraction into a percentage and decimal. You can show or hide the equivalent percentage and decimal.

/interactives/fraction_decimal_percentage.php

This lesson is taken from Maria Miller's book Math Mammoth Percent, and posted at www.HomeschoolMath.net with permission from the author. Copyright © Maria Miller.

The level of precision are the number of digits to round to. Select a lower precision point below to break decimal 0.7 down further in fraction form. The default precision point is 5. If the last trailing digit is "5" you can use the "round half up" and "round half down" options to round that digit up or down when you change the precision point.

For example 0.875 with a precision point of 2 rounded half up = 88/100, rounded half down = 87/100.

70000/100000= 7000/10000= 700/1000= 70/100= 7/10

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This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in one expression.

Spelled result in words is seven tenths.

How do we solve fractions step by step?

1. Conversion a decimal number to a fraction: 0.7 = 7/10 = 7/10

   a) Write down the decimal 0.7 divided by 1: 0.7 = 0.7/1

   b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

   0.7/1 = 7/10

   
   Note: 7/10 is called a decimal fraction. c) Simplify and reduce the fraction

   7/10 = 7 * 1/10 * 1 = 7 * 1/10 * 1

Fractions - use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one space between the integer and

The calculator follows well-known rules for the order of operations. The most common mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.
Be careful; always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to right.

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