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The Simplest Method is to Use a Calculator

Steps:

Divide the top of the fraction by the bottom,

Then multiply the result by 100 and read off the answer !

Get your calculator and type in "5 ÷ 8 =", the calculator should show 0.625

Then multiply by 100 and your answer is: 62.5%

(Remember to put the "%" sign so people know it is "per 100")

OR you can multiply the top by 100 first then divide by the bottom number:

Multiply 5 by 100 first, then divide by 8

500 ÷ 8 = 62.5%

(Remember that "%" sign!)

Or Move the Decimal 2 Places

After dividing, instead of multiplying by 100 we can just move the decimal point 2 places to the right, then add the %

Divide 1 by 8:

1 ÷ 8 = 0.125

Move the decimal point 2 places to the right

Remember to add the "%" sign: 12.5%

Another (Harder) Method
Percent means "per 100", so try to change the fraction to form.
Follow these steps:

Step 1: Find a number you can multiply the bottom of the fraction by to get 100.

Step 2: Multiply both top and bottom of the fraction by that number.

Step 3. Then write down just the top number with the "%" sign.

Step 1: We can multiply 4 by 25 to become 100
(why 25? because 100 divided by 4 is 25)
Step 2: Multiply top and bottom by 25:

×25

3 4

=

75 100

×25

Step 3: Write down 75 with the percent sign:

Answer = 75%

Step 1: We have to multiply 16 by 6.25 to become 100
(why 6.25? because 100 divided by 16 is 6.25)
Step 2: Multiply top and bottom by 6.25:

×6.25

3 16

=

18.75 100

×6.25

Step 3: Write down 18.75 with the percentage sign:

Answer = 18.75%

Yet Another Method: Proportions

Because a percent is actually a ratio (parts per 100) we can also use Proportions to do the conversion.

First, put what you know into this form:

Then solve using "multiply across the known corners, divide by the third number":

Fill in what you know:

Multiply across the known corners, then divide by the third number. The "known corners" are top left and bottom right:

Answer: is 18.75% (same answer as the previous example!)

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Steps: Divide the top of the fraction by the bottom, Then multiply the result by 100 and read off the answer !

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A Decimal Number ( based on the number 10) contains a Decimal Point.

First, let's have an example:

Here is the number "forty-five and six-tenths" written as a decimal number:

The decimal point goes between Ones and Tenths.

45.6 has 4 Tens, 5 Ones and 6 Tenths, like this:

Now, let's discover how it all works ...

Place Value

It is all about Place Value !

When we write numbers, the position (or " place") of each digit
is important.

In the number 327:

the "7" is in the Ones position, meaning 7 ones (which is 7),

the "2" is in the Tens position meaning 2 tens (which is twenty),

and the "3" is in the Hundreds position, meaning 3 hundreds.

"Three Hundred Twenty Seven"

As we move left, each position is 10 times bigger!

Tens are 10 times bigger than Ones
Hundreds are 10 times bigger than Tens

... and ...

As we move right, each position is 10 times smaller.

From Hundreds, to Tens, to Ones

1 10 ths (Tenths) are!

But we must first put a decimal point,
so we know exactly where the Ones position is:

And that is a Decimal Number!

We can continue with smaller and smaller values, from tenths, to hundredths, and so on, like in this example:

Have a play with decimal numbers yourself:

numbers/images/decimal-chg.js

Large and Small

So, our Decimal System lets us write numbers as large or as small as we want, using the decimal point. Digits can be placed to the left or right of a decimal point, to show values greater than one or less than one.

The decimal point is the most important part of a Decimal Number. Without it we are lost, and don't know what each position means.

17

591

On the left of the decimal point is a As we move further left, every place gets whole number (such as 17). 10 times bigger.

The first digit on the right is As we move further right, every place gets tenths (1/10). 10 times smaller (one tenth as big).

Zoom into decimals ...

See decimals on the Zoomable Number Line

Definition of Decimal

The word "Decimal" really means "based on 10" (From Latin decima: a tenth part).

We sometimes say "decimal" when we mean anything to do with our numbering system, but a "Decimal Number" usually means there is a Decimal Point.

Ways to think about Decimal Numbers ...

... as a Whole Number Plus Tenths, Hundredths, etc

We can think of a decimal number as a whole number plus tenths, hundredths, etc:

Example 1: What is 2.3 ?

On the left side is "2", that is the whole number part.

The 3 is in the "tenths" position, meaning "3 tenths", or 3/10

So, 2.3 is "2 and 3 tenths"

Example 2: What is 13.76 ?

On the left side is "13", that is the whole number part.

There are two digits on the right side, the 7 is in the "tenths" position, and the 6 is the "hundredths" position

So, 13.76 is "13 and 7 tenths and 6 hundredths"

... as a Decimal Fraction

Or we can think of a decimal number as a Decimal Fraction.

A Decimal Fraction is a fraction where the denominator (the bottom number) is a number such as 10, 100, 1000, etc (in other words a power of ten)

... as a Whole Number and Decimal Fraction

Or we can think of a decimal number as a Whole Number plus a Decimal Fraction.

Those are all good ways to think of decimal numbers.

950, 2529, 2530, 2531, 3449, 3450,949, 1328, 3451, 3452

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A Decimal Number ( based on the number 10 ) contains a Decimal Point. Here is the number "forty-five and six-tenths" written as a decimal number: The decimal point goes between Ones and Tenths. 45.6 has 4 Tens, 5 Ones and 6 Tenths, like this: Now, let's discover how it all works ...

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email: pgreenfield@owairaka.school.nz

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XtraMath - 10 minutes a day for math fact fluency

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XtraMath is a free program that helps students master addition, subtraction, multiplication, and division facts.

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Hit the Button - Quick fire maths practice

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Hit the Button - Quick fire maths practice

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QR CODE

Scan this on mobiles and tablets to quickly open this web page.

Hit the Button is an interactive maths game with quick fire questions on number bonds, times tables, doubling and halving, multiples, division facts and square numbers. The games, which are against the clock, challenge and develop mental maths skills. An untimed, practise mode is available in our Hit the Button app along with lots more extra features.

The activities can be matched to appropriate mathematical ability. Regular use of Hit the Button can help students to sharpen their recall of vital number facts in a fun way and learning multiplication tables need not be boring.

AGE

6-11 Years

SUBJECTS

Maths Times Tables Division Number Bonds Doubles Halves Square Numbers

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Hit the Button - Quick fire maths practise for 6-11 year olds

# data[].attributes.attachment_link.description
Scan this on mobiles and tablets to quickly open this web page. Hit the Button is an interactive maths game with quick fire questions on number bonds, times tables, doubling and halving, multiples, division facts and square numbers. The games, which are against the clock, challenge and develop mental maths skills.

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Math Games for Kids . Cyberchase | PBS KIDS

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Math Games for Kids . Cyberchase | PBS KIDS

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Cyberchase . Games . Bugs in the System | PBS KIDS

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Play with data -- make a graph by catching bugs!

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KS2 Maths activities, games, tests and notes on numbers including addition, subtraction, multiplication, division fractions and decimals

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BBC Bitesize - KS2 Maths - Length and distance

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KS2 Maths Length and distance learning resources for adults, children, parents and teachers.