Percents on Double Number Lines

Percents on Double Number Lines

by Matthew Hyland

​Before anything else

• ​You must know your place values!

​

​After the decimal there is no onesths...

​

Each place value to the left of each is 10 times greater

​Before anything else

• ​Expanded Form of 5,654 =

• ​5000 + 600 + 50 + 4

​

​

• Word form of 5,654 =

• Five thousand, six hundred,​ fifty four.

​

• Standard form is just the number​

• ​5,654

Multiple Choice

What place value is the 2 in, in the number 624

• Ones
• Tens
• Hundreds
• Thousands 

Multiple Choice

The 4 is in the ________ place in the number 450,322.

• ones
• ten thousands
• thousands
• hundred thousands

Multiple Choice

What is the expanded form of the number: 4,305

• 4,000 + 300 + 5
• 4,000 + 300 + 50
• 40,000 + 3,000 + 5
• 4,000 + 30 + 5

Multiple Choice

Each step in the place value chart is _____ times the number to its right.

• 1
• 10
• 15
• 100

Multiple Choice

Which digit is in the tenths place?
236.4791

• 3
• 6
• 4
• 7

Multiple Choice

What is the place value name of the digit 6 in the number below?
247.167

• tenths
• tens
• hundredths
• hundreds

Multiple Choice

Which of the decimals is equivalent to the value represented by the hundreds grid?

• 0.37
• 0.38
• 0.83
• 0.86

Multiple Choice

The population of New York is fifty million, two hundred six thousand, eighty-six. How is this population written in standard form? 

• 5,206,860
• 50,260,086
• 50,206,860
• 50,206,086

Multiple Choice

What is the place value of the 5 in the number 8.965

• Ones
• Tenths
• Thousands
• Thousandths

Multiple Choice

Bradley says 0.80 is greater than 0.8 because 80 is greater than 8. Frankie says 0.8 is greater than 0.80. Jose says dudes they are the same value. Who is correct and why?

• Bradley is so correct because 80 is more than 8.
• Frankie is so correct because eight tenths is more than 80 hundredths.
• Jose is correct because 0.8 is equivalent to 0.80.
• None of them are correct. They are all crazy!

​Rounding

​Rounding comes from a number line and if it's closer to one number or another.

​

​Example: 43, 48

​

​

43 is closer to 40​

48 is closer to 50

​40 41 42 43 44 45 46 47 48 49 50

​General Rule

• ​5 or more raise the score

• ​4 or less, let it rest

• ​EX: 575 to the nearest 10 =

• ​580

• ​EX: 554 to the nearest 10 =

• ​550

Multiple Choice

Round the decimal 5.67 to the nearest tenth place.

• 5.5
• 5.6
• 5.7
• 5.8

Multiple Choice

Round 10.065 to the nearest tenth place.

• 10
• 10.1
• 10.07
• 10.17

Multiple Choice

Round the following decimal to the nearest whole number.
17.429

• 16
• 17
• 17.4
  17.4
• 17.5

Multiple Choice

Round 148.93 to the nearest tenth place.

• 149
• 148.10
• 148.9
• 148

Multiple Choice

Round 18.888 to the nearest hundredth place.

• 19
• 18.9
• 18.89
• 18.88

Multiple Choice

Round the decimal 3.257 to the nearest hundredth place.

• 3
• 3.24
• 3.25
• 3.26

Multiple Choice

Which decimal becomes 7.8 when rounded to the nearest tenth?

• 7.81
• 7.86
• 7.90
• 7.99

Multiple Choice

Round 5.592 to the nearest hundredth.

• 5.60
• 5.50
• 6.59
• 5.59

Multiple Choice

Round to the nearest tenth. 
123.496

• 123
• 123.4
• 123.5
• 123.49

Multiple Choice

Round to the nearest hundredth.  123.496

• 123.4

• 124

• 123.5
• 123.49
• 123.497

Fill in the Blank

Each of three friends—Lin, Jada, and Andre—had the goal of raising $40. How much money did each person raise?

Lin raised 100%, how much did she raise?

Fill in the Blank

Each of three friends—Lin, Jada, and Andre—had the goal of raising $40. How much money did each person raise?

Jada raised 50%, how much did she raise?

Fill in the Blank

Each of three friends—Lin, Jada, and Andre—had the goal of raising $40. How much money did each person raise?

Andre raised 150%, how much did he raise?

Multiple Choice

Jada has a new puppy that weighs 9 pounds. The vet says that the puppy is now at about 20% of its adult weight. What will be the adult weight of the puppy?

• 180 pounds

• 90 pounds

• 40 pounds

• 45 pounds

• 18 pounds

Multiple Choice

Andre also has a puppy that weighs 9 pounds. The vet says that this puppy is now at about 30% of its adult weight. What will be the adult weight of Andre’s puppy?

• 18 pounds

• 90 pounds

• 30 pounds

• 27 pounds

• 270 pounds

Open Ended

What is the same about Jada and Andre’s puppies? What is different?

Fill in the Blank

A large bottle of juice contains 500 milliliters of juice. A medium bottle contains 70% as much juice as the large bottle. How many milliliters of juice are in the medium bottle?