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Comparing and Ordering Whole Numbers. Vocabulary To Know. Greater than (>) – a symbol used to show numbers greater than another Less than (<) – a symbol used to show numbers less than another Equals (=) a symbol used to show numbers having the same value. Vocabulary To Know. Compare Order
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Comparing and Ordering Whole Numbers
Vocabulary To Know Greater than (>) – a symbol used to show numbers greater than another Less than (<) – a symbol used to show numbers less than another Equals (=) a symbol used to show numbers having the same value
Vocabulary To Know • Compare • Order • Inequality • Equal (=) • Unequal () • Greater than (>) • Greater than or equal to () • Less than (<) • Less than or equal to ()
Comparing Numbers < (less than) > (greater than) = (equals) ≤ (less than or equal to) ≥ (greater than or equal to) • Basic Steps • Compare the whole number parts first. • Start and move LEFT TO RIGHT • Compare the next most significant digit of each number in the same place. • If they are equal, move onto the next place to the right. ** Think of it as PAC –MAN, his mouth is ALWAYS open towards the LARGER number. Examples: a). Compare 1123 and 1126 1123 < 1126 b). Compare 567 and 497 567 > 497 c). Compare 1 and 0.002 1 > 0.002 d). Compare 0.402 and 0.412, 0.402 < 0.412 e). Compare 120.65 and 34.999 120.65 > 34.999 f). Compare 12.345 and 12.097. 12.345 > 12.09.
ComparingNumbers • Line up the numbers vertically (up and down) by the ones place (or the decimal, if there is one). • Start at the left and compare the digits. • Move towards the right until you find a difference.
How to Compare Numbers 3 1 2 Line up the numbers (start at the ones place) If numbers are the same go to next digit to the right Compare at highest place value 12,391 8,971 13,762 12,391 8,971 13,762 12,391 8,971 13,762
Example < 45,312 45,321 45,312 45,321 1 is less than 2
Example 2 – Put the numbers in order from least to greatest. 321; 345; 354; 29; 1,013; 312; 332 321 29 < 312 < 321 < 332 345 354 345 354 1,013 < < 29 smallest 1013 largest 312 332
Remember! The hungry alligator always eats the largest number.
Write < > or = 53,931 < 54,931
Write < > or = 53,931 > 4,931
Write < > or = > 183,359 94,931
Write < > or = < 89,359 194,931
Write < > or = > 1,077,000 107,900
Write < > or = = 984,789 984,789
Write < > or = < 112,349 112,449
Write < > or = < 50,000 Five thousand
Write < > or = > 306 3 hundreds 6 tens
Write < > or = < 1,730 1,000+700+3
If you know how to compare numbers, you know how to put them in order Put these numbers in order from greatest to least 1,730 14 569 9,271 2 4 3 1
Put these numbers in order fromgreatest to least 35,872 36,872 569 9 2 1 3 4
Put these numbers in order fromleast to greatest 145,872 6,872 569 91 4 3 2 1
Put these numbers in order fromleast to greatest 5,872 5,832 5,991 910 3 2 4 1