Lesson #1 Place Value

Numbers are Important! NUMERAL The name or symbol used to represent a number (#) is called a Why do we need numbers? NUMERAL

Review: Ways of Comparing Numbers You can list them in increasing or decreasing order Plan them on a number line Or use the > (greater than) or < (less than) symbols

Place Value: Each digit has a certain place value Each place has a value of 10 times the place directly to its right

Place Values (before decimal)

Place Values (after decimal)

Face Value vs. Place Value Face Value tells you how many ones, tens, or hundredths there are. Face value is the actual value of the digit. In the number 475, the "7" has a face value of 7. Place value is what the digit represents IN ITS PLACE. In the number 475, the "7" is in the tens place, so the place value is 70

Standard Form The full number The way you “normally” write a number

Expanded Form 500 40 3 So 543 in expanded form Writing a number showing the total place value of each digit Example: 543 Placing the # into the Place Value Chart: From the chart we see 100 x 5 = 500 10 x 4 = 40 1 x 3 = 3 Hundreds (100s) Tens (10s) Ones (1s) 500 40 3 So 543 in expanded form 5 x 100 + 4 x 10 + 3 x 1

Expanded Form with Decimals Example: 48.25 Placing the # into the Place Value Chart: From the chart we see 40 x 10 = 40 8 x 1 = 8 2 x 0.1 = 0.2 5 x 0.01 = 0.05 Tens (10) Ones (1) DECIMAL Tenths (0.1) Hundredths (0.01) 40 8 . 2 5 So 48.25 in expanded form 4 x 10 + 8 x 1 + 2 x 0.1 + 5 x 0.01

Expanded Form: Practice Complete the expanded form of the following numbers: 1) 384 = _______ + 8 x 10 + _______ 2) 6257 = 6 x 1000 + ______ + ______ + ______ 3) 37 = 10 x 3 + ________ 4) 4826 = ________ + 100 x 8 + _______ + _____ 5) 219.2 = ______ + _______ + ______ + ______ 3 x100 + 8 x 10 + 4 x 1 6x1000 + 2x100 + 5x10 + 7x1 3 x 10 + 7 x1 4x1000 + 8x100 + 2x10 + 6x1 2x100 + 1x10 +9x1 + 2 x 0.1

Standard & Expanded Form: Practice What is the standard form of these expanded form numbers: 1) 800 + 40 + 3 = 2) 20 000 + 600 + 40 + 9 = 3) 1000 x 4 + 100 x 5 + 1 x 3 = 4) 100 x 9 + 1 x 8 + 0.1 x 5 = 843 20 649 4 503 908.5

< less than > greater than For your notecard: PLACE VALUE & FORMS Thousands Hundreds Tens Ones/Units DECIMAL POINT Tenths Hundredths Thousandths Standard form is how a number is normally written (543) Expanded form shows each place value 543 = 5 x 100 + 4 x 10 + 3 x 1 48.25 = 4 x 10 + 8 x 1 + 2 x 0.1 + 5 x 0.01 < less than > greater than

Homework!  Complete the following questions in your workbook (this is a review of basic operations involving numbers) p. 1, #1-3 p. 2 #4, 5, 8 p. 3 #9 + 10 p. 4 #11 (try the challenge question #13) p. 5 #1-2 p. 6 #3-4