# Math Lessons for the Week of Aug. 19

Math Lessons for the Week of Aug. 19 Ms. Hernandez Room 8 Monday, August 19th: Place Value, Standard Form and Word Name Place Value: The position of a number, which determines its value Ex: 2,743 7 is located in the hundreds place

Standard Form: the numerical digit Ex: 1,461 Word Name: The number name Ex: One thousand, four hundred and Monday, August 19th: Place Values, Standard Form and Word Name Examples: Standard Form: 406 Word Name: four hundred six Standard Form: 2,741 Word Name: two thousand, seven hundred forty-one Standard Form: 10, 212 Word Name: ten thousand, two hundred

twelve Standard Form: 128, 123 Word Name: one hundred twenty-eight thousand, one hundred twenty-three Standard Form: 1,765,432 Word Name: one million, seven hundred sixty-five thousand, four hundred thirty-two Monday, August 19th: Place Values, Standard Form and Word Name Place Value Examples: 472: tens place 1, 478: thousands place 28,293: ten thousands place

3,078: hundreds place When it comes to place value, if there is a zero, you still pay attention to where the number would be located on a place value chart (See slide 2) Tuesday, August 20th: Millions and Periods Millions Period Thousands Period Ones Period

1 8 4, 1 0 1,

1 0 9 hundred s tens ones

hundred s tens ones hundred s tens

ones Students will be asked to identify the period of a number and the place value. When it comes to the period, look where the number would be located on the chart and think if it would be under the ones period, thousands period or millions period. When identifying the place value, the students will first see which period the number is located in, then the place value under the number. For example, in 184,101,109 the 8 is located in the millions period and in the tens place, so its place value is the ten millions place. Tuesday, August 20th: Millions and Periods

Examples: Find the period of the highlighted section of the number 143,738: ones period 178,936: thousands period 29,739,412: millions period Find the place value of the highlighted digit 143,738: hundreds place 178,936: ten thousands place Wednesday, August 21st Expanded Form Expanded Form is when you break up a number according to its place value and expand it to show the value of each digit

Example: 1,761 1,000 + 700 + 60 + 1 In 1,761 the 1 is located in the thousands place (1,000) In 1,761 the 7 is located in the hundreds place (700) In 1,761 the 6 is located in the tens place (60) And in 1,761 the 1 is located in the ones place (1) *If there is every a zero located in the number, you can either ignore it or add zero. Example: 1,807 1,000 + 800 + 7 OR 1,000 + 800 + 0 + 7 Wednesday, August 21st Expanded Form

Examples: 763: 700 + 60 + 3 1,974: 1,000 + 900 + 70 + 4 29,709: 20,000 + 9,000 + 700 + 9 175,725: 100,000 + 70,000 + 5,000 + 700 + 20 + 5 1,649,607: 1,000,000 + 600,000 + 40,000 + 9,000 + 600 + 7 Fridays Number Operations Quiz This Friday, August 23rd, our quiz will consist of 2o questions: Standard Form ( 5 questions) Word Name ( 5 questions) Place Value (5 questions)

Millions and the Different Periods ( 5 questions) Extra Credit: Expanded Form Review Questions During class, August 22nd, we had a review. Below are some extra questions to help benefit the students studying. Identify the place value of the highlighted number: 764 1,735 84,702 103,678 1,234,567

Review Questions Identify the word name of the standard form of the number: 1,527 943 93,008 174,354 1,894,112 68,945 Review Questions Identify the Standard Form of the word name.

Two hundred seventy-six One thousand, seven hundred forty-eight Twenty-four thousands, seven hundred and three Nine hundred and seventy-six thousand, four hundred and twelve One million, seven hundred thousand, two hundred and forty-five Review Questions Identify the period the highlighted number is located in: 1,864 24,682 745,908 1,849,002

673 518,942 Review Questions Identify the expanded form of the number. 738 1,839 1,708 23,749 843,002 1,756,836

Review Answers Identify the place value of the highlighted number: 764 : tens 1,735 : one thousands 84,702 : tens 103,678 : hundred thousands 1,234,567 : one millions Review Answers Identify the word name of the standard form of the number: 1,527 : one thousand, five hundred and twenty-seven 943 : nine hundred and forty-three

93,008 : ninety-three thousand and eight 174,354 : one hundred seventy-four thousand, three hundred and fiftyfour 1,894,112 : one million, eight hundred ninety-four thousand, one hundred and twelve Review Answers Identify the Standard Form of the word name. Two hundred seventy-six : 276 One thousand, seven hundred forty-eight : 1,748 Twenty-four thousands, seven hundred and three : 24,703 Nine hundred and seventy-six thousand, four hundred and twelve : 976,412

One million, seven hundred thousand, two hundred and forty-five : Review Answers Identify the period the highlighted number is located in: 1,864 : ones period 24,682 : thousands period 745,908 : ones period 1,849,002 : millions period 673 : ones period 518,942 : thousands period Review Answers

Identify the expanded form of the number. 738 : 700 + 30 + 8 1,839 : 1,000 + 800 + 30 + 9 1,708 : 1,000 + 700 + 8 23,749 : 20,000 + 3,000 + 700 + 40 + 9 843,002 : 800,000 + 40,000 + 3,000 + 2 1,756,836 : 1,000,000 + 700,000 + 50,000 + 6,000 + 800 + 30 + 6

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