Whole Numbers and Decimals Lesson 1.1 Page 4-5

Whole Numbers & Decimals (pg. 4-5) 09/22/08 09/22/08 Lesson 1.1: pg. 5, # 6-19 Lesson 1.1: Whole Numbers & Decimals (pg. 4-5) Standards: 7L 7R

CA Content Standards Number Sense 1.1, Grade 5: We manipulate very large (e.g. millions) and very small (e.g. thousandths) numbers. Mathematical Reasoning 1.0: We make decisions about how to approach problems.

Whole Numbers & Decimals (pg. 4-5) 09/22/08 09/22/08 Lesson 1.1: pg. 5, # 6-19 Lesson 1.1: Whole Numbers & Decimals (pg. 4-5) Standards: Vocabulary: 7L 7R

Vocabulary: WHOLE NUMBER AKA: a counting number. One of the complete numbers (1, 2, 3, …) or zero. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Vocabulary: DECIMAL A symbol (.) used to demonstrate that a number is a fraction or not complete. The opposite of a whole number. For example: 1.5, 8.77, 9.201 0.1, 2.34, 5.678, 9.012

Vocabulary: PLACE VALUE CHART A tool used to organize numbers. The chart shows the order and names of the places for a number.

Vocabulary: STANDARD FORM Use one or more of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 to write a number. Example: 1,023

Vocabulary: SHORT WORD FORM Use the words billions, millions, thousands, etc. to write a number. Use the word ‘and’ to represent the decimal. Example: 1 thousand, 23

Vocabulary: EXPANDED FORM Break the number down into each digit and use addition signs. Example: 1000 + 20 + 3

Whole Numbers & Decimals (pg. 4-5) 09/22/08 09/22/08 Lesson 1.1: pg. 5, # 6-19 Lesson 1.1: Whole Numbers & Decimals (pg. 4-5) Standards: Vocabulary: Objective: 7L 7R

Objective: Use place value to understand whole numbers to the billions and decimals to the hundred- thousandths. Math Link: You know how to use place value with numbers like 257 and 0.3 Now you will learn how place value can help you understand large whole numbers and decimals.

Whole Numbers & Decimals (pg. 4-5) 09/22/08 09/22/08 Lesson 1.1: pg. 5, # 6-19 Lesson 1.1: Whole Numbers & Decimals (pg. 4-5) Standards: Vocabulary: Objective: Notes/ Examples: 7L 7R

Place Value Chart Ten billions Hundred millions Ten Thousands ONES DECIMALS Ten billions Hundred millions Ten Thousands Ten millions Hundred Thousands Tens Millions Thousands Hundredths Ten-thousandths Billions Hundreds Ones Tenths Hundred-thousandths Hundred billions Millionths Thousandths

Write the value of the 2 in 36.00025 in short word form. Example 1. Write the value of the 2 in 36.00025 in short word form. BILLIONS MILLIONS THOUSANDS ONES DECIMALS 3 6 . 2 5 Ten billions Hundred millions Ten Thousands Ten millions Hundred Thousands Tens Millions Thousands Hundredths Ten-thousandths Billions Hundreds Ones Tenths Hundred-thousandths Hundred billions Millionths Thousandths 2 Ten-thousandths

Example 2. Write the value of the 5 and the 0 in 346,294,586.920 in short word form. BILLIONS MILLIONS THOUSANDS ONES DECIMALS 3 4 6 2 9 5 8 . Ten billions Hundred millions Ten Thousands Ten millions Hundred Thousands Tens Millions Thousands Hundredths Ten-thousandths Billions Hundreds Ones Tenths Hundred-thousandths Hundred billions Millionths Thousandths 5 Hundreds 0 Thousandths

Write the value of the 4 in 341,984,654 in short word form. Example 3. Write the value of the 4 in 341,984,654 in short word form. BILLIONS MILLIONS THOUSANDS ONES DECIMALS 3 4 1 9 8 6 5 Ten billions Hundred millions Ten Thousands Ten millions Hundred Thousands Tens Millions Thousands Hundredths Ten-thousandths Billions Hundreds Ones Tenths Hundred-thousandths Hundred billions Millionths Thousandths 4 Ten millions 4 Thousands 4 Ones

Write the value of the 6 in 144.0086 in short word form. Example 4. Write the value of the 6 in 144.0086 in short word form. BILLIONS MILLIONS THOUSANDS ONES DECIMALS 1 4 . 8 6 Ten billions Hundred millions Ten Thousands Ten millions Hundred Thousands Tens Millions Thousands Hundredths Ten-thousandths Billions Hundreds Ones Tenths Hundred-thousandths Hundred billions Millionths Thousandths 6 Ten-thousandths

An African, male elephant weighs about 15, 400 pounds. Example 5. An African, male elephant weighs about 15, 400 pounds. BILLIONS MILLIONS THOUSANDS ONES DECIMALS 1 5 4 Ten billions Hundred millions Ten Thousands Ten millions Hundred Thousands Tens Millions Thousands Hundredths Ten-thousandths Billions Hundreds Ones Tenths Hundred-thousandths Hundred billions Millionths Thousandths 3. Write this number in standard form. 15,400 4. Write this number in short word form. 15 thousand, 400 5. Write this number in expanded form. 10,000 + 5,000 + 400 1. What is the value of the 5? 5 thousands 2. What is the value of the 0? o tens or 0 ones

6 billion, 35 million, 479 thousand, 518 Example 6. The number of people living on Earth grows daily. Right now, the population is 6, 035, 479, 518. BILLIONS MILLIONS THOUSANDS ONES DECIMALS 6 3 5 4 7 9 1 8 Ten billions Hundred millions Ten Thousands Ten millions Hundred Thousands Tens Millions Thousands Hundredths Ten-thousandths Billions Hundreds Ones Tenths Hundred-thousandths Hundred billions Millionths Thousandths 3. Write this number in standard form. 6,035,479,518 4. Write this number in short word form. 6 billion, 35 million, 479 thousand, 518 5. Write this number in expanded form. 6,000,000,000 + 30,000,000 + 5,000,000 + 400,000 + 70,000 + 9,000 + 500 + 10 + 8 1. What is the value of the 3? 3 Ten millions 2. What is the value of the 8? 8 Ones

Whole Numbers & Decimals (pg. 4-5) 09/22/08 09/22/08 Lesson 1.1: pg. 5, # 6-19 Lesson 1.1: Whole Numbers & Decimals (pg. 4-5) Standards: Vocabulary: Objective: Notes/ Examples: Moral of the Story: [Tape ‘Place Value Chart’ here]. 7L 7R

The Moral of the Story A place-value chart can help you read and understand very large and very small numbers.

Independent Practice On your place value chart, create a challenging number. On the L side of your notebook, find the standard, short word, and expanded forms of your number. Trade place value charts with a table partner (do not give them the answer in your notebook). Partners, use the clue from your partner to identify the standard, short word, and expanded forms of his/her number. Return to the author, so he/she may check if it is correct.

Math Minute # 1 6 x 3 = How many ears do eight dogs have in all? If n + 2 = 7, then n= There were eight bugs on the ground. Now there are six. How many flew away? 2 x 3 x 2=

Math Minute # 1 Continued 4 x 6 + ___ = 31 3, 6, 9, 12, ___, ___, ___ Seven bicycles have ___ wheels in all. Use <, >, or = for 9 and 10. 3 weeks ___ 20 days 1 cm ___ 1 inch