Place Value
What is the value of the digit 7 in the number 5,708?
700
If one group has 6 counters and there are 4 equal groups, how many counters total? (Write the multiplication expression.)
4 × 6 = 24
There are 12 apples to share equally among 3 students. How many apples each? (Write the division equation.)
12 ÷ 3 = 4
What percent is the same as the fraction 1/2?
50%
Write a ratio to show 3 apples to 5 oranges in three forms: a to b, a:b, and as a fraction.
3 to 5
3:5
3/5
Write 34,209 in expanded form
30,000 + 4,000 + 200 + 10 + 9
Draw or describe an array for 4 × 7 and give the product.
4 rows of 7 (or 7 columns of 4)
Product = 28
Write a word or number sentence that shows the relationship between multiplication and division for 5 × 9 = 45.
If 5 × 9 = 45, then
45 ÷ 9 = 5
45 ÷ 5 = 9
Convert 0.75 to a percent.
75%
Using a ratio table, find the equivalent ratio to 2:5 when the first number is 8.
2:5 scaled by 4 → 8:20
Order these whole numbers from least to greatest: 8,412; 8,124; 8,421.
8,124; 8,412; 8,421
Use area reasoning: a rectangle is 6 units by 8 units. How many square units is the area? Show how this models multiplication.
6 × 8 = 48 square units
Find the quotient: 21 ÷ 7. Show a visual strategy.
21 ÷ 7 =3
What is 10% of 260?
26
If the ratio of pencils to pens is 4:3 and there are 16 pencils, how many pens? Show work with a ratio table.
16 pencils → scale factor 4
3 × 4 = 12 pens
Place the number 15,367 on a number line between 15,000 and 15,500. What approximate location (in hundreds) should it be marked?
15,367 is between 15,300 and 15,400 and closer to 15,400.
Use and area model to find 23 × 15
= 345
A bakery packs muffins in boxes of 8. If they have 386 muffins, how many full boxes can they pack and how many muffins remain?
386 ÷ 8 = 48 remainder 2
A shirt is marked down by 25%. If the original price is $28, what is the sale price?
$21
Use a ratio table to solve: If a recipe needs 2 cups of flour for 5 muffins, how much flour for 20 muffins?
Scale by 4 → 8 cups flour
Compare 62,305 and 62,350 using >, <, or = and explain which place-value digits make them different.
62,305 < 62,350
Use an area model to find 24 × 37
= 888
Divide: 3,624 ÷ 18 (there will be remainders)
3,624 ÷ 18 = 201 remainder 6
Convert the fraction 7/20 to a percent. Show your method
7/20 = 0.35 = 35%
A map scale shows 1 inch : 12 miles. If two cities are 5 inches apart on the map, how many miles apart are they? Show scaling reasoning with a ratio table.
5 × 12 = 60 miles