1.1a: comparing/ordering numbers on the number line m(n&o)–10–2 demonstrates understanding...
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1.1a: Comparing/Ordering numbers on the number line
M(N&O)–10–2 Demonstrates understanding of the relative magnitude of real numbers by solving problems involving ordering or comparing rational numbers, common irrational numbers
(e.g.,, ), rational bases with integer exponents, square roots, absolute values, integers, or numbers represented in scientific notation using number lines or equality and inequality symbols. (State)
GSE
Think about numbers in terms of money.
Circle the one that is bigger a) 2.1 -2.7
This means the circled one is to the right of the other one on a number line.
As you more left to right, the numbers get bigger
When you graph a number, always start at 0, then move left or right
Graph each number on a number line
a) 4 b) -3 c) 2.7 d) -1.2
start
As you more left to right, the numbers get bigger
Graph each number on a number line
a) -1 b) 2.2 c) - 0.75 d) 4.9
start
Comparing numbers using symbols:
toEqual
ThanGreater toequalor an Greater th
Than Less toequalor than Less
toEqual
ThanGreater toequalor an Greater th
Than Less toequalor than Less
Lets compare numbers using these symbols
1) 2 ___ 4
2) 7.31 ____ 7.23
3) 0.27 _____ -3.4
5) -4 _____ -6
6) -5.1 _____ 3.2
7) -0.7 _____-1.7
8) 4.6 _____ 4.6
Write the integers in ascending order:
ascending: from least to greatest (smallest to largest)
1) 1, 8, 6
2) -1, 0, 1
3) 10, 100, -63
4) 48, 34, -4, -1
5) 7, -7, -4.3, -3.6
Write the integers in Descending order:
descending: from greatest to least (highest to lowest)
1) 1, 8, 6
2) -1, 0, 1
3) 10, 100, -63
4) 48, 34, -4, -1
5) 7, -7, -4.3, -3.6
What if the numbers are in a different format?
- We need to get them in the same format to compare (for us, usually in the decimal format)
Ex. Compare the two numbers
1.3 ____ 5
7
Fraction
Decimal
Re-write into decimal
1.3 ____ .41 Now we can compare
Ex. 2- Different formats
8
7_____%80
Percent Fraction
Divide decimal get the to100
80
875._____8.
Ex. 3 – Ordering different formats
Write <, =, or > to compare the numbers
9
5_____%55 .4
8.3_____5
19 3.
6
1 _____ 17% .2
75.0____5
4 .1
The end