Understanding Numbers

What is a place value Chart?

Why do you think a place Value chart would be Helpful?

Place Value/Face Value Face value is 4 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. 4856 Place value is thousands

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

THOUSANDS 3 245 791 UNITS ones, tens, hundreds MILLIONS

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 4 907 521

Try These 4 560 392 5 500 428 5 022 603 6 364 210 4 321 444 904 265 193 004

Writing Numbers In Words When writing numbers in words you write exactly what you say: 9 320 199 nine million, three hundred twenty thousand, one hundred ninety-nine

Try These Two hundred sixty four thousand, five hundred three Nine million, sixty-two thousand four Five million, twenty-two Five hundred sixty-three thousand, four hundred thirteen Two million, seven thousand, sixteen

Standard and Expanded Form

When numbers are presented in numerical digits, it is called the standard form of a number. 4856 Standard 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 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 + 8 x 100 + 4 x 10 + 5 x 1 6 x 100 000 + 2 x 1000 + 8 x 100 + 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 Form Using Powers of 10

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

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