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OUR LESSON : Comparing and

Ordering Decimals

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WARM-UP:Use > or < to compare these

numbers.

1.) 11 -11

2.) -2,376 -2,367

3.) 3 x 72 = 216

4.) 117 / 13 = 9

>

<

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Decimals are numbers, with a decimal point in it, like these:

1.5, 0.6, 3.14 their opposites, and zero.

Decimal numbers are used commonly in Banks, To display their interest rate. They are alsoused while measuring distance, temperature heights etc..

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Lets take an example

523, 52.3, 5.23, 0.523

These three numbers above have the same three digits, in the same order, yet they are all different.

Take a good look at them.

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523 is a whole number, and would be read as Five hundred and twenty three

The second number 52.3 contains a decimal point, marking the end of the whole number, and would be read as Fifty two point three.

523, 52.3, 5.23, 0.523

The third also contains a decimal point, and would be read as Five point two three (not five point twenty three).

The last decimal 0.523 contains no whole number, and it begins with a zero before the decimal point. It would be read as zero point five two three.

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The digits of the number to the left of the decimal pointrepresent the whole number.

Digits on the right of the point are decimal fractions

If there is no whole number, the decimal will begin with a zeroin the units position.

Digits after the decimal point are readindividually.

Remember

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DECIMALS can be shown as points on a number line.

Zero is the Origin.

decimal on the right of zero are

POSITIVE.

decimal on the left of zero are NEGATIVE.

It is neither positive nor negative!

-1.0 0-3.0-4.0-5.0 1.0 2.0 3.0 4.0 5.0-2.0

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-1.0 0-3.0-4.0-5.0 1.0 2.0 3.0 4.0 5.0-2.0

6/1/1 Comparing and Ordering Integers

When we say words like more, less or equal to;we compare the two numbers

We can compare and order DECIMALS using the number line.

-3.2 < 1.1

smal

ler

num

ber

s

bigger num

bers

Therefore...

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6/1/1 Comparing and Ordering Integers

Try this one!

Order these decimals on the number line.

4.3 -4.1 3.8 1.5

Which is the smallest decimal? -4.1What is the largest decimal? 4.3

-1.0 0-3.0-4.0-5.0 1.0 2.0 3.0 4.0 5.0-2.0

-4.1 1.5 3.8 4.3

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We can also compare two Decimals by comparingthe digits in each place value position

T O . T H Th 3 . 4 7

3 . 8 2

Start at the left and compare the digits in each place- value position . In the ones place , the digits are the same . In the tenths place , 4 < 8 , So, 3.47 < 3.82

Lets take an example : Compare 3.47 and 3.82

Align the numbers by their decimal points

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Compare and arrange these decimals from least to the greatest

3.41, -2.87, -0.11, 0.01, 6.08, 3.001

-2.87, -0.11, 0.01, 3.001, 3.41, 6.08

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Lets Take a BREAK!!

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GAME TIME !!!

click here to play

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6/1/1 Comparing and Ordering Integers

1) The temperature of five cities as measured at 5AM is given below. Order these from the coldest to the warmest.

-5.1, 3.2, -2.1, 5.1, 1.0

-5.1, -2.1, 1.0, 3.2, 5.1

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2.) Compare 0.1 and 0.10. Are the equal?

6/1/1 Comparing and Ordering Integers

Yes they are equal as the whole number part and fraction part is same and adding Zero’s to the right of a decimal number makes no difference to the number

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3) Write the place values of these decimals and compare them. 3.23, 0.323, 32.3, 323

H T O . T H Th 3 2 3 . 0 0 0 0 3 2 . 3 0 0

0 0 3 . 2 3 0 0 0 0 . 3 2 3

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6/1/1 Comparing and Ordering Integers

Let's see how well we understood the lesson today.

1.) What are Decimals? Decimals are numbers, with a decimal point in it.

2.) Which is greater -0.01 or 0.001? 0.0013.) Write these decimals in words

3.12 Three dot one two5.81 five dot eight one

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6/1/1 Comparing and Ordering Integers

5.) Insert < or >

a. 5.01

b. -6.33

c. -3.7

5.1

1.01

3.7

4) Write the whole number part and fraction part of these decimals

Whole Part Fraction Part33.12 33 12 0.66 0 66

>

>

>

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6/1/1 Comparing and Ordering Integers

Let's Review

Decimals are numbers, with a decimal point in it, like 5.12, 4.33, -3.01

The digits of the number to the left of the decimal point represent the whole number

Digits on the right of the point are decimal fractions

Digits after the decimal point are read individually.

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We can also compare two Decimals by comparingthe digits in each place value position

We can compare and order DECIMALS using the number line.

DECIMALS can be shown as points on a number line.

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-1 0-3-4-5 1 2 3 4 5

If we compare 2 numbers on a number line, the number that is furthest to the left is the smaller number!

-4.1 is smaller than

-1.1<

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You had a GREAT lesson today!

Be sure to practice what you learned!