# UNIT 12 DECIMALS NUMERATION

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UNIT 12 DECIMALS NUMERATION

ones tens one hundred number line
VOCABULARY ones tens one hundred number line The number 438,572 has a 7 in the __________ place. Ten tens are equal to ______. A _______ can be used to show numbers in order using a scale.

Comparing Numbers > < = 1, ,999 43, ,167 629, ,348 455, ,331 101, ,011 95, ,555

Order these numbers from greatest to least.
3, , , ,768 41, , , ,001 4, , , ,359 678, , , ,291

Order from least to greatest.
15, , ,542 543, , ,978

Use a decimal model to show
1.6 pounds.

A decimal model can also show 1.6 hundredths.

Write the decimal: 1.64 Standard form: Expanded form: Word form:

Write the expanded form and word form.
3.91 6.8 1.09 2.3

Write the decimal for each. What would the fraction be?

Write the decimal shown.
Write the fraction.

Write the number in word and give the value of each red digit.
2.47 ________________________ 3.19 ________________________ 23.79 ________________________ 0.78 ________________________ 1.8 ________________________ ________________________ 9.05 ________________________

Write a number that has a 4 in the tens place and a 5 in the hundredths place.
_________________________________ The capybara can grow to be 1.3 meters long. Write 1.3 in expanded form and in word form. ___________________

The Green Darner is one of the largest dragonflies on Earth.
It weighs about four hundredths of an ounce. Write the weight in standard form.

Use the decimal model to explain why 0.08 is less than 0.1

Write the word form and tell the value
of each red digit. 2.300 __________________________ 9.027 __________________________ 1.982 __________________________ __________________________ 4.983 __________________________ __________________________

Write each number in standard form.
9 =

Write two decimals that are equivalent to the decimal below.
2.200 _________________________ _________________________ _________________________

Bella finished a race in 2.6 hours, and Sophia finished the
same race in hours. Which runner finished the race first?

Alex is buying juice at the market. He has \$9, and each
bottle of juice costs \$2. Does he have enough money to buy 5 bottles of juice? Explain.

Nikki made 19 pancakes for breakfast. She took 7 and gave
an equal number to her dad and mom. How many pancakes did each of her parents get?

The Borneo stick insect
has a total length, including its legs, of 21.5 inches. Name two decimals that are equivalent to 21.5

Worker leafcutter ants can measure 0.5 inch.
Write three other ways to write 0.5 inch.

Decimal to Whole Number
Connection thousands hundreds tens ones . tenths hundredths thousandths 1,000 100 10 1 0.1 1/10 0.01 1/100 0.001 1/1000 5 3 4 2

Write the place value for the
red digit. _____________________ _____________________ _____________________ 6, _____________________

Write the number that is ten times as many.
_____________________ 0.01 _____________________ _____________________ 0.001_____________________

A telephone worker used What is the place value of the
feet of cable. What is the place value of the 5 in ?

How many hundredths are in
The grid below shows one hundred equal parts. Each part is equal to one hundredth. How many hundredths are in one tenth?

Write the place value for each bold digit.
572.67 2, 1, 9, 601.65 1, 4, 6, 2, 9, 1,843.2 5,

Write the number that is ten times as many.
0.07 40 0.008 0.9 35 0.6 0.03 500 8.0 70.1 250 1.005

There are 100 fiction books in the classroom library. The
school library has ten times as many fiction books. What is the number of fiction books in the school library?

Ryan and Colin collected aluminum cans
for the school recycling project. Look at the chart to find out who collected the most cans. Find the difference between the number of cans collected. RYAN 1,352 COLIN 1,329

Kiley baked 3 times as many muffins as Kayla for the
school bake sale. If Kayla baked 36 muffins, how many did Kiley bake? Kayla Kiley 36

Mrs. B has 6 gallons of gas in her car. Her tank can hold 15 gallons.
Will Mrs. B need more or less than 10 gallons of gas to fill her tank? _______ If gas is \$3.49 per gallon, how much will it cost to fill up the tank?

Ethan found two shells that are the same
shape but are different sizes. One weighs 0.01 pound and the other weighs ten times as much. How much does the heavier shell weigh?

Charlie and Kohle are discussing the value of the first 1 and the
second 1 in the number 4.115 Charlie thinks the first 1 has greater value than the second. Is he correct?

Decimals on the number line. Locate 1.90 on the number line.
Locate 1.90 on the number line.

Decimals on the number line.
Locate 2.3 on the number line. Locate 4.1 on the number line.

Decimals on the number line.
Locate 0.8 on the number line. Locate 3.4 on the number line.

Name the points on the number line.
A B C D A B C D

Mark each point on the number line.
2.6 1.3 0.4 3.9

Decimals on the number line.
A B C D E F A B C D E F

Decimals on the number line.
A B C D E F A B C D E F

Decimals on the number line.

Decimals on the number line.
Locate on the number line. Locate on the number line.

Decimals on the number line.
How many tenths between 1 and 2? How many hundredths between 1 and 2?

Decimals on the number line. Name two decimals between
Name two decimals between 8.4 and 8.6

Sea level at Key West is rising about 1.8 millimeters per year.
What is the place value of the digit 8 in this number?

What is 211.98 rounded to the nearest tenth?
How do you round to the nearest tenth? What is rounded to the nearest tenth? Look at the tenths place Look at the digit to the right rounds to 212.0 Since the digit is 8, the digit in the tenths place increases by 1.

Round 68.142 to the nearest hundredth.
Look at the hundredths place Look at the digit to the right Since 2 < 5, the hundredths digit stays the same. rounds to 68.14

Round each to the place of the underlined digit.
17.23 19.805 49.562 67.591

Round each to the place of the underlined digit.
60.82 88.3 2.283 0.695 72.564 41.483 0.819 147.61 857.95 591.95 312.12 4.108 1009.1 64.93 7.452 99.99 78.61 38.8 230.9 12.55

Name 3 decimals that when rounded to the nearest tenth,
round to 7.8

Which of these decimals does NOT round to 6?
5.71 5.91 6.82 6.249 6.001

Megan wanted to know the total mass of two
pieces of volcanic rock. The first piece had a mass of 4.99 grams and the second had a mass of 2.85 grams. Megan wants to record the combined masses of the two pieces of volcanic rock to the nearest gram. Is a reasonable estimate of the masses to the nearest gram?

Lauren was asked to round 89.367
to the nearest hundredth. She answered 89.40 Is she correct? Explain

What is 2.28 rounded to the nearest tenth?
According to Jimmy’s rain gauge, it had rained 2.28 inches in 24 hours. What is 2.28 rounded to the nearest tenth? What is rounded to the nearest whole number?

Landon filled the car with 8.53 gallons of gasoline. To the
nearest tenth of a gallon, how much gasoline did Landon put in the car?

To the nearest whole number,
Maggie’s dog weighs 5.521 pounds. To the nearest whole number, how much does Maggie’s dog weigh?

week. How many miles does
Autumn jogs 12 miles each week. How many miles does Autumn jog in 1 year?

Which ones don’t belong?

Three-tenths of the bagels are
Ari bought 10 bagels. Three-tenths of the bagels are plain and the rest are cinnamon. How many cinnamon bagels are there?

Bella and her family need to travel 53.19 miles to get to her
According to MapQuest, Bella and her family need to travel miles to get to her grandmother’s house. What is this distance rounded to the nearest mile?

Venn diagrams are very useful to show how different data belong to groups. Remember, if the data overlaps, the data belongs in more than one group. 4 14 3 9 15 6 12 18

Which are multiples of both 2 and 3?
Which numbers in the Venn are multiples or 2? Which are multiples of 3? Which are multiples of both 2 and 3? Add the numbers 21, 22, and 24 to the Venn. 3 9 15 4 14 6 12 18

Comparing Decimals > = <

Use the number line to help you compare
2.453 and 2.458 2 3

COMPARE

The most important thing you
must remember is to LINE UP THE DECIMAL POINTS before you do ANYTHING! x : .10

Sophia earns \$4 per week doing chores. If one flower costs
\$2, how many flowers can Sophia buy if she saves for three weeks?

Which number is less than
0.125? 0.5 0.13 0.119 0.2 0.124 0.126

are in order from greatest to least. Is he correct or do the
Alex said the numbers 3.04, 0.43, and 2.4 are in order from greatest to least. Is he correct or do the numbers need to be rearranged?

nickels which weigh 5.5 pounds.
Nikki has a bag of 500 nickels which weigh 5.5 pounds. A bag of 200 half dollars weighs 5 pounds. Which weighs more?

order from greatest to least.
Ryan said the numbers 7.37, 7.36, 2.59, and 2.95 were in order from greatest to least. Is he correct. Explain.

numbers in order from least
Help Kiley put these numbers in order from least to greatest.

mile, where will you end up on
Look at the line below. If you start at 0.4 and walk 0.8 mile, where will you end up on the line? 0.4

Look at the drawing below. How can you use the mark on
the line to find where 1.0 should be located? 0.2

Kayla needs to redesign a banner for field day. She wanted
her banner to be 2 feet long. Kayla marked 0.5 foot on her drawing. How can she use this distance to find 2 feet? 0.5

Who jogged the farthest?
Jimmy jogged 1.7 miles one morning. Ethan jogged 1.75 miles that same day. Who jogged the farthest? Explain.

Colin wrote a four-digit number. He used the digits 2,
4, 6, and 8. How many different four-digit numbers could Colin have written?

brothers as Charlie. If Kohle has “K” brothers, how many
Kohle has half as many brothers as Charlie. If Kohle has “K” brothers, how many brothers does Charlie have? Write an algebraic expression.

Maggie has 3 coin purses with 58 coins in each. How many coins
does Maggie have?

45 boxes of Girl Scout cookies. They deliver “C” boxes each
Lauren and Bekah sold 45 boxes of Girl Scout cookies. They deliver “C” boxes each day for 5 days. Solve.

Maggie wants to find which number is equal to three and twenty-two thousandths?
Which should she pick? 3.2200 3,22 3.022 3.0022

Megan is cooking 4.619 pounds of spaghetti.
To the nearest hundredth, how many pounds of spaghetti is Megan cooking? 4.60 pounds 4.62 pounds 5 pounds 4.7 pounds

Landon is trying to find which number has a 5 in the thousandths place.
9,562,791.1 385.59

Ari is making a banner for Girl Scouts. She marked 0
Ari is making a banner for Girl Scouts. She marked on a piece of banner paper. What should she do to find 1.0? Find the distance halfway to 1 Find the and move right more Double the distance from 0.5 Move to the left of 0.5

Autumn is mailing a present that weighs 15. 683 pounds
Autumn is mailing a present that weighs pounds. To the nearest tenth, how many pounds does the package weigh?

What is the place value of the 9 in 4,602.791?
Ones Tenths Hundredths Thousands

Now put them in order from least to greatest.
Put these numbers in a Place Value chart. Now put them in order from least to greatest.

Which of these statements is true?
5.352 < 5.350 = 5.360 5.353 < 5.360 5.358 > 5.360

Which of the following are
less than 8.002 8.200 8.020 8.022

Put each set of numbers in order from greatest to least.

What is ten times as many as the number 0.04?
0.004 0.04 4.0 0.4

Which decimal is shown in the model below?
2.0 2.96 2.40 2.04