6th Grade Math Textbook, Progress

(Marvins-Underground-K-12) #1

Compare and Order Integers


5-2


You can use a number line to compare and to order integers.
Any positive number is greater than any negative number.

To compareintegers you can use a number line.

 5  4  3  2  1 0  1  2  3  4  5

0

 1

 2

 3

 1
 2
 3

On a verticalnumber line:


  • Any number is less than a
    number above it.
    Compare: 2 0
    0 is above  2
     2  0


Any number is greater than
a number below it.
Compare: 1  3
3 is below  1
 1  3

?

?

On a horizontalnumber line:
Any number is less than a
number to its right.
Compare: 1  2
2 is to the right of  1
 1  2

Any number is greater than
a number to its left.
Compare: 2  4
4 is to the left of  2
 2  4

?

?

To orderintegers using a horizontal number line:
Least to greatest—Begin with the integer farthest to the left.
Greatest to least—Begin with the integer farthest to the right.
Order 2, 5, and 0 from least to greatest.

The order from least to greatest is: 5, 0, 2.

The order from greatest to least is: 2, 0, 5.

Study these examples.
Compare: ⏐ 4 ⏐ ⏐ 2 ⏐ Compare: ⏐ 7 ⏐ (3)

4  2  7  3
So ⏐ 4 ⏐⏐ 2 ⏐ So ⏐ 7 ⏐(3)

??

Think
5 is farthest to the left;
2 is farthest to the right;
0 is between 5 and 2.

Think
⏐ 4 ⏐ 4
⏐ 2 ⏐ 2

Think
⏐ 7 ⏐ 7
(3) 3

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