Today we will name decimal fractions in expanded, unit, and word forms. We will compare decimal fractions using like units.

First... We must review the place value units. Lets start with ones. Where does the decimal go? 1

Behind the ones place. What is the next biggest unit? 1. 0

Tens 1o What is the next biggest unit?

Hundreds 100 What is the next biggest unit?

Thousands 1,000 What is the next biggest unit? 1,

What is the next biggest unit? Ten thousands, hundred thousands, millions... Now, what about the units after the decimal? (The smaller units.) 1,

Tenths.1 1/10 How many tenths fit in a 1? What is the next smallest unit after tenths?. 1 10

Hundredths.01 1/100 How many hundredths fit in a one? What is the next smallest unit after hundredths?

Thousandths.001 1/1000 How many thousandths fit in a one? ,000

Multiplication Let’s try without our place value chart ,230 62, ,360 73,

Application problem Jordan measures a desk at 200 cm. James measures the same desk in millimeters, and Amy measures the same desk in meters. What is James’s measurement in millimeters? What is Amy’s measurement in meters? Show your thinking using a place value chart or an equation with exponents.

Application problem Understand Plan Solve √check

Understand Jordan measures a desk at 200 cm. James measures the same desk in millimeters, and Amy measures the same desk in meters. What is James’s measurement in millimeters? What is Amy’s measurement in meters? Show your thinking using a place value chart or an equation with exponents.

Plan We know: 200 cm We need to find: meters and millimeters. 200 cm = _____ m 200 cm = _____ mm What operation? cm--> m ______ m → mm ______ divide Multiply

Solve 200 cm = ____ m 1.We are going from small to big, so we will divide. 1.There are 100 cm in a meter. 100 is cm/ = 2 m

Solve Now we know that 2m is the same as 200 cm. Let’s find out how many millimeters it takes to fill the same length. 2 m = ____ mm? 1.We are going from big to small so we multiply. 1.There are 1,000 mm in a meter. 1,000 is 1.2m x = 2,000 mm

Check. 200 cm is the same as 2m which is the same as 2,000 mm. o 1m 2m cm 200cm 0 1,000mm 2,000mm

Standard Form Three thousand forty- seven written in standard form would be: Standard form shows us the digits that we are using to represent that amount 3,047.0

Expanded Form Three thousand forty- seven (3,047) written in expanded form would be: Expanded form shows how much each digit is worth and that the number is a total of those values added together. 3x 1, x10 + 7x1

Unit Form Three thousand forty- seven (3,047) written in unit form would be: Unit form helps us see how many of each size unit are in the number. 3 thousands, 4 tens, 7 ones.

Write 1 thousandth in standard form How many tenths? How many hundredths? How many Thousandths? One thousandth = OR 1 /

Write 1 thousandth in expanded form We write the expanded form using a fraction like this: 1 × (1/ 1000) And, we write the expanded form using a decimal like this: 1 ×

Write 1 thousandth in unit form We write the unit form of 1 thousandth like this: 1 thousandth

Write a decimal for the following 4 x 1, x x x (1/100) + 4 x (1/1000) 4, ,

Read these numbers, then compare 13,196 and 13,296 Which number is greater? How can you tell? 13,196 < 13,296 The 2 in the hundreds place is larger than the 1 in the hundreds place.

Read these numbers, then compare Compare and Which number is greater? How can you tell? > In 0.012, there is a one in the hundredths place, but has a zero in the hundredths, so that means is greater than → 12 of something is greater than 2 of the same thing. Just like 12 apples are more than 2 apples.

Read these numbers, then compare Compare and Write these in standard form.299.3

Read these numbers, then compare Compare and Write these in standard form 2.Which has more tenths?.299.3

Read these numbers, then compare Compare and Write these in standard form 2.Which has more tenths? 3..3 has more tenths so.299 <

Order from least to greatest (line them up) 0.413, 0.056, 0.164, and Least=.056,.164,.413,.531= Greatest

Use the chart to line up the decimals and Which is greater? is greater

Must Do Problems: Front of pg. Back of pg. 1.B, F1. all of it 2.B2. A, C, F 4. A.B3. A