 # 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.

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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:

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 Fraction Decimal Re-write into decimal Now we can compare

Ex. 2- Different formats Percent Fraction Divide

Ex. 3 – Ordering different formats Write to compare the numbers

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