Supporting IdeaNumber and Operations

Decimals as FractionsTo write decimals as fractions, you must understand

place-value!

Decimals as Fractions

Whole numbers are found to the left of the decimal point.

The parts of a whole are found to the right of the

decimal point.

Numbers that end

here have a

denominator of

10

Numbers that end

here have a

denominator of

100

Numbers that end

here have a

denominator of

1,000

Decimals as Fractions

3.25 3 wholes and 25/100 3 1/4

Simplified!

Decimals as Fractions

26.82 26 wholes and 82/100 26 41/50

Simplified!

Decimals as Fractions

125.54 125 wholes and 54/100 125 27/40

Simplified!

Fractions as Decimals

To write fractions as decimals, try to scale your fractions so the

denominator is 10, 100, 1,000 or 10,000!

Fractions as Decimals

Scaled up to 10!

Fractions as Decimals

Scaled down to 4 and then up to

100!

You can simplify before

you multiply

!

Fractions as DecimalsRemember, you can always divide to

convert a fraction to a decimal!

Fractions as Percents

Per ---- centMeans

“Out of ---- 100”

If you can scale up to a

denominator of 100, your

numerator is a percent!

Fractions as Percents

Put dimes in the

numerator and total

coins in the

denominator

620

Multiply the

numerator and the denominator by 5

30 or 30% 100

Fractions as PercentsSometimes fractions can not be scaled to have a

denominator of 100. What should you do?

Fractions as Percents

Then, simply multiply the decimal answer by 100!

0.375 = 37.5%

Percents as Decimals

Hint 1: The percent sign looks like a division sign, so you must divide.

Hint 2: The percent sign looks like a 100. You must remove the association with 100 through division!

Decimals as Percents

Hint: Since percent means “out of 100” and you do not see the percent sign, you must multiply by 100 to add the percent sign!

Comparing and Ordering Numbers

So, you need common denominators to add, subtract or compare and order

fractions!

Comparing and Ordering Numbers

Convert all numbers to the same form.

When you compare or order numbers:

Make sure you pay attention to the order requested:

Least to GreatestGreatest to Least

Use whole numbers before the parts of the whole as you place them in order!

Mixed Problem Solving

A

The subtotal is $45.11

Mixed Problem Solving

I

Mixed Problem Solving

1.25

Mixed Problem Solving

B

Mixed Problem Solving

H

Mixed Problem Solving

B

Mixed Problem Solving

F

Mixed Problem Solving

15%

Mixed Problem Solving

C

Mixed Problem Solving

H

Mixed Problem Solving

B

Mixed Problem Solving

1/25

Mixed Problem Solving

I

Supporting IdeaNumbers and Operations

Keep Practicing!