Place ValueFace Value Each digit in a number

Place Value/Face Value • Each digit in a number has a place value and a face value. • In the number 4856, the digit 4 is in the thousands place value. • Meaning the place value is thousands. • The number you see (4) is the face value. Face value is 4 4856 Place value is thousands

A place value chart helps us to read and understand large numbers.

THOUSANDS BILLIONS 128 063 245 791 MILLION S UNITS ones, tens, hundreds

Hundred Billion Ten Thousand Hundred Thousand Ten Billion Thousands Billion LFH JBG CIA EKD Hundred Millions Ten Million Ones Hundreds Tens

Saying Large Numbers • Understand place value helps us say large numbers properly • When saying large numbers you should: • A) start with the largest place value grouping • B) say what you see, then say the grouped place value • C) continue until all number have been read 34 907 521

Try These • • 4 560 392 305 500 428 8 425 022 603 90 836 364 210 110 300 004 321 732 780 000 444 904 265 193 004

Writing Numbers In Words • When writing numbers in words you write exactly what you say: 409 320 199 • Four hundred nine million, three hundred twenty thousand, one hundred ninety-nine

Try These 1. Two hundred sixty four thousand, five hundred three 2. Ninety million, sixty-two thousand four 3. Seven hundred five million, twenty-two 4. Five hundred sixty-three thousand, four hundred thirteen 5. Two billion, three hundred million, seven thousand, sixteen

Standard Form • When numbers are presented in numerical digits, it is called the standard form of a number. Standard Form 4856

Expanded form • Numbers can also be represented in expanded form. • This means writing the value of a number using the face value and place value of each digit. • The number 4856 in expanded form is: Method a) 4000 + 800 + 50 + 6 Method b) 4 x 1000 + 8 x 100 + 5 x 10 + 6 x 1

Try These questions 5 -8 are challenge questions 1. 2. 3. 4. 5. 3982 23 508 60 000 + 2000 + 900 + 40 + 5 800 000 + 50 000 + 300 + 60 + 4 3 x 100 000 + 7 x 10 000 + 2 x 1000 + 6. 8 x 100 + 4 x 10 + 5 x 1 7. 6 x 100 000 + 2 x 1000 + 8 x 100 + 8. 5 x 10 + 6 x 1

Try These • • • 30 + 5000 + 300 000 + 200 + 4 200 000 + 900 + 4000 + 3 + 10 000 6000 + 20 000 + 900 + 400 000 + 5 800 000 + 5000 + 3 + 60 + 400 3 x 1000 + 7 x 100 000 + 2 x 100 + 8 x 10 000 + 4 x 1 + 5 x 10 • 6 x 10 000 + 2 x 100 000 + 8 x 1000 + 5 x 1 + 6 x 100

Expanded Notation Using Powers of 10 • Numbers can also be written in expanded form using powers of 10 • We will call this expanded form Method C • Knowing Method A and B makes method C easy

Challenge slide The number 4856 in expanded form is: Method a) 4000 + 800 + 50 + 6 Method b) 4 x 1000 + 8 x 100 + 5 x 10 + 6 x 1 Method c) 4 x 103 + 8 x 102 + 5 x 101 + 6 x 100

Try These • • • 32 906 53 800 40 641 7 x 103 + 2 x 102 + 5 x 101 + 3 x 100 9 x 105 + 8 x 103 + 7 x 102 + 6 x 101 5 x 106 + 2 x 104 + 9 x 103 + 6 x 100