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| 17 Theory slides |
| 11 Exercises - Grade E - A |
| Each lesson is meant to take 1-2 classroom sessions |
Here are a few recommended readings before getting started with this lesson.
A percent is the ratio of a number to 100. Percents are usually denoted by the symbol %.
p%=100p
Submit and Convertto see how it can be converted into a percent. In this applet, the fraction will be multiplied by 100 first.
Paulina's first class is math. The teacher gives everyone back their graded papers from last Thursday's test. Paulina is thrilled to see that she got 23 answers correctly.
Which number is the total and which is the part of the total? Use the definition of a percent.
It is lunch time! Paulina and her friends go to the school cafeteria. She is trying to decide between juice and a sandwich or soda and a taco. What a hard decision! Her good know-it-all friend Davontay interrupts her thoughts with an interesting fact.
Paulina is curious about how many students out of 25 would choose different options, if this statistic were in fact true.
After realizing this, Paulina decides to go for Option 2. Gotta show some love to the soda and taco! 😄
Convert the given percent into its equivalent mixed number or the given mixed number into a percent. Write the fraction part of a mixed number in simplest form. Round the percent to the nearest integer.
When Paulina comes home, she opens the fridge and starts to look for something to eat. She notices that some of the foods have percents written on them.
Consider a bar split into some number of parts.
We are asked to express the diagram as a fraction. For this, we need to determine its numerator and denominator. We can find the denominator by counting the total number of parts in the bar.
There are 8 parts in total. This means that the denominator of the fraction is 8. ?/8 Now let's focus on the number of shaded parts to find the numerator. We can see that there are 7 shaded parts. This is the value of the numerator. 7/8 Therefore, we can represent the shaded part of the diagram as the fraction 78.
We found that the fraction 78 represents the given diagram. Let's find the corresponding percent. We can start by dividing the numerator by the denominator by using long division.
The quotient is 0.875. Next, multiply the decimal number by 100 %. For this, move its decimal point two places to the right. 0.875* 100 % =87.5 % This means that 78 is equivalent to 87.5 %. 7/8=87.5 %
Convert each fraction into a percent. Round the answer to one decimal place.
We need to rewrite 1455 as a percent. Let's start by dividing 14 by 55 by using long division. We will divide to four decimal places.
The quotient is 0.2545. Next, multiply this decimal number by 100 by moving the decimal point two places to the right. 0.2545* 100=25.45 Since the last digit is 5, we round the number up to 25.5. Therefore, 1455 is equivalent to about 25.5 %.
We want to rewrite 2739 as a percent. Let's start by dividing 27 by 39 to four decimal places using long division.
The quotient is 0.6923. Next, multiply this number by 100. Since 0.6923 is a decimal number, move the decimal point two places to the right to multiply it by 100. 0.6923* 100=69.23 We can round this number to 69.2. This means that 2739 is about 69.2 %.
Convert each percent into a fraction. Write the fraction in simplest form.
We are asked to rewrite 42 % as a fraction. Let's start by recalling the definition of a percent. It is the ratio of a number to 100. n % = n/100 Let's apply this formula to 42 %. 42 % = 42/100 Now we need to see if we can simplify the fraction. First, let's split the numerator and denominator into prime factors. 42 & = 2* 3* 7 100&= 2* 2* 5* 5 The numbers share only one factor, 2. This is their GCF. GCF(42,100)=2 We will divide the numerator and the denominator by 2 to simplify the fraction.
Therefore, 42 % corresponds to the fraction 2150.
Now let's rewrite 28 % as a fraction. We will start by recalling the definition of a percent again. n % = n/100 Let's apply this formula to 28 %. 28 % = 28/100 Next, we should simplify the fraction. We will start by splitting the numerator and denominator into prime factors. 28 & = 2* 2* 7 100&= 2* 2* 5* 5 The numbers share only two common factors. Their product is the GCF of 28 and 100. GCF(28,100)=2* 2=4 Finally, let's divide the numerator and the denominator by their GCF to simplify the fraction.
Therefore, 28 % is equivalent to the fraction 725.
Convert each decimal number into a percent.
We are given the decimal number 2.11. Let's rewrite it as a percent by multiplying it by 100. We can do this by moving the decimal point two places to the right.
Remember to add the percent sign at the end!
The decimal number 2.11 corresponds to 211 %.
We need to rewrite the decimal number 0.504 into a percent. Let's begin by multiplying the number by 100. We can do it by moving the decimal point two places to the right.
Then add a percent sign to the product.
Therefore, 0.504 is equivalent to 50.4 %.
Convert each percent into a decimal number.
We are given the percent 12.4 %. Let's rewrite it as a decimal by dividing the number by 100. Note that to divide by 100, we can move the decimal point two places to the left.
Now that we know the quotient, we can write the decimal number that is equivalent to 12.4 %.
Let's rewrite 607 % as a decimal number. We can do this by dividing the number by 100. Move the decimal point two places to the left.
The quotient is 6.07. Therefore, 6.07 is the decimal number that corresponds to 607 %.