Place Value and Base-Ten Concepts
How many tens are in 375.69?
37 whole tens or 37.569 exact tens
If you were counting in base five, what five numbers would come after 43πππ£π and what five numbers would come before 43πππ£π? What five numbers would come after 103πππ£π and what five numbers would come before 103πππ£π
33five, 34five, 40five, 41five, 42five, 43five, 44five, 100five, 10 five, 102five, 103five, 104five, 110five, 111five, 112five, 113five.
Henry had 42 stuffed animals in his collection. His mom told him that he needed to get rid of some of his stuffed animals, so Henry chose 15 animals to donate to charity. How many stuffed animals will Henry have left after donating 15?
Separate Result Unknow: 42-15 =n
Sherry is making some cookies, and the recipe calls for 1 3 4 cups of flour for a batch. She needs to make 3 1 2 batches. How many cups of flour will she need to use? Use a pictorial representation to solve
Draw a picture of 3 groups 1 ΒΎ cups of flour for 3 batches and Β½ of 1 ΒΎ cups of flour for Β½ of a batch, and find the sum. Your picture should show that sherry needs 6 1/8 cups of flour; then write an equation that represents the story. 3 Β½ * 1 ΒΎ = n
I have ΒΎ of what John has. If John has 24 pieces of candy, how many pieces of candy do I have?
ΒΎ of 24: 18
545.68 = 3 x ______ + 4 x ______ + 5 x ______ + 6 x ______ + 8 x ______
545.68 = 5 x 100 + 4 x 10 + 5 x 1 + 6 x 1/10 + 8x 1/100
If you were counting in base six, what five numbers would come after 54π ππ₯ and what five numbers would come before 54π ππ₯? What five numbers would come after 104π ππ₯ and what five numbers would come before 104π ππ₯?
45six, 50 six, 51 six, 52 six, 53 six, 54 six, 55 six, 100 six, 101 six, 102 six, 103 six, 104 six, 105 six, 110 six, 111 six, 112 six, 113 six
Olyvia is saving money to get a new bike. She has $35 saved, and the one she wants to buy costs $114. How much more money does Olyvia have to save to buy the bike she wants?
Join Change Unknown: 35+n = 11
. Ryan is making some homemade playdough for his students. The playdough recipe calls for 1 2 cup of salt. If Ryan has 2 2 3 cups of salt, how many batches of playdough could he make, assuming he used up all of his salt? Solve using a pictorial representation
Draw a picture of 2 2/3 cups of salt and mark Β½ cup for each recipe. You should show 4 recipes from 2 cups, and one more recipe from 2/3 with the remainder of 1/6 cup. Since you need 3/6 cup for one recipe but you have only 1/6 cup, this means you can make 1/3 recipe using 1/6 cup. Therefore the answer is 4+1+1/3 = 5 1/3 recipes; then write an equation that represents the story. 2 β Γ· Β½ = n or n x Β½ = 2 β
I have ΒΎ of what Jane has. If I have 24 sticks of gum, how many sticks of gum does Jane have?
ΒΎ of unknown is 24: the unknown is 32
How many tenths are in 345.60? How many hundredths are in 348.67?
3450 whole tenths or 3456.0 exact tenths; 34867 hundredths
Identify the place value and write an expanded notation: 123five
123five = 1x52 + 2x5 + 3x1 (52 is the place value for the digit 1, 5 is the place value for the digit 2, and 1 is the place value for the digit 3.)
Rumer has 56 Shopkins and Nadia has 89 Shopkins. How many more Shopkins does Nadia have than Rumer?
Compare Different Unknown: 89 β 56 = n, 56+n = 89 or 89- n = 56
Maura is walking on a 4 ΒΌ-mile trail. She walked 1 ΒΎ miles so far. How far does she need to walk to reach the end of the trail. Solve using a pictorial representation; then write an equation that represents the story.
1 ΒΎ + n = 4 ΒΌ
Aaron has 5/3 of what Jared has. If Jared has 30 stickers, how many stickers does Aaron have?
5/3 of 30: 50
How many tenths and hundredths are in 345.67?
3400 tenths and 567 hundredths, 2 tenths and 34547 hundredths, etc.
72eight = _______ ten 242six = _______ten
72ten = _______eight 242ten = _______five
72eight = 58 ten 242six = 98ten
72ten = 110eight 242ten = 1432five
Ken had some candy in his Halloween bag. His brother took 35 pieces, and now Ken has 67 pieces of candy left in the bag. How many pieces of candy did Ken have before his bother took 35?
Separate Start Unknown: n-35 = 67
Marie bought 12 7 of a bushel of hay. Marieβs cow ate 8 1 of the hay Marie bought. How much hay did the cow eat? How much hay does Marie have left?
β Γ 7/12 = n
7/12 β (β Γ 7/12) = m
Steve has 3 hexagons and one blue rhombus. Steve has 2/3 of the pattern blocks that Sam has. What pattern block pieces could Sam have?
any pieces equivalent to 30 green triangles
Write 168.004 million dollars in six different ways and explain your reasoning using the base-ten structure in our number system.
168,004,000 one-dollar bills 16,800,400 ten-dollar bills 1,680,040 hundred-dollar bills 168004 thousand-dollar bills 1,680,040,000 dimes 16,800,400,000 pennies 0.168004 of a billion dollars.
Compare the following pairs of numbers. Is one greater than the other? Or are they the same?
a. 4πππ£π vs 4ππππ
b. 20π ππ₯ and 20π‘π€πππ‘π¦
c. 34π ππ₯ and 25πππβπ‘
d. 27ππππ and 1212π‘βπποΏ½
4πππ£π = 4ππππ
b. 20π ππ₯ < 20π‘π€πππ‘π¦
c. 34π ππ₯ > 25πππβπ‘
d. 27ππππ < 1212π‘βπποΏ½
Gabby had some chocolate. Her brother took 8 pieces, and now Ken has 16 pieces left. How many pieces of candy did Ken have before her brother took 8?
Separate Start Unknown: n-16 =8
Jason wanted to donate of his holiday money to charity such that each of his holiday money goes to a different charity. How many different charities will he be helping?
2/3 Γ· 1/12 = n or n Γ 1/12 = 2/3
Steven has 3 hexagons and one blue rhombus. Mike has 5/4 of pattern blocks that Steven has. What pattern block pieces could Mike have?
any pieces equivalent to 25 green triangles