Multiply Whole Numbers
45 x 12
540
Solve: 625 ÷ 5
125
Denver ate 1/4 of a pie and Jaden ate 2/4 of the same pie. How much pie did they eat in total?
They ate ¾ of the pie.
Find a common denominator for 1/5 and 1/2.
The common denominator is 10 (or any other multiple of 10)
Write "three and forty-five hundredths" in standard form.
3.45
A theater has 24 rows of seats. Each row has 35 seats. How many total seats are in the theater?
840 seats
A school has 432 students going on a field trip. If each bus holds 48 students, how many buses are needed?
9
Solve: 2/3 + 1/6
5/6
Write two equivalent fractions for 3/4 that have a denominator of 12 and 20.
9/12 and 15/20
Compare using <, >, or =: 0.705 ____ 0.75
<
When multiplying 342 and 56 using the standard algorithm, what two partial products do you get?
2,052 and 17,1000
Solve 1,564 ÷ 23
68
A recipe calls for 1 1/2 cups of sugar and 2 1/3 cups of flour. What is the total amount of dry ingredients?
3 5/6 cups
Solve: 7/8 - 2/5
19/40
Write 40.027 in expanded form using fractions or decimals.
(4 X 10) + (2 X 0.01) + (7 X 0.001)
OR
4 + 0.02 + 0.007
Which expressions have a product of 12,400? Select all that apply.
A) 124 x 100
B) 62 x 200
C) 1,240 x 10
D) 310 x 40
A, B, C & D
Which of the following division problems will have a remainder? Select all that apply.
A) 520 ÷ 13
B) 842 ÷ 4
C) 1,000 ÷ 25
D) 915 ÷ 10
A & D
Nathaniel had 5 feet of rope. He cut off a piece that was 2 3/4 feet long. How much rope is left?
2 1/4
Which sum is greater than 1? Select all that apply.
A) 1/2 + 2/3
B) 3/4 + 3/8
C) 4/5 + 1/10
D) 1/4 + 5/8
A & B
Round 14.562 to the nearest tenth and the nearest hundredth.
14.6 (nearest tenth)
14.56 (nearest hundredth)
A student solved 215 x 23. Their first partial product was 645. Their second partial product was 430. Their total was 1,075. Explain the error the student made and provide the correct product.
The student forgot the 0 placeholder in the second partial product and the correct product is 4,945.
The 5th-grade class at your school is planning a field trip to the National World War II Museum. There are 142 students and 14 teachers going on the trip. The school is renting vans that can each hold 9 passengers.
How many vans does the school need to rent so that everyone has a seat? Explain how you determined your answer.
The school needs to rent 12 vans. I determined this by adding the teachers and students to get 156 and then dividing by 9 to determine how many vans the school needs. The quotient is 11 R 2. Since 11 vans would leave 10 people out, I added a van to get 12 vans.
"To solve 1/2 + 1/3, I just add the numerators (1+1=2) and the denominators (2+3=5), so the answer is 2/5." Is this reasoning correct? Use a number line to prove your answer.
No. This is not correct. ½+⅓ is not ⅖. ½+⅓ is more than ½ because we are adding more to ½. ⅖ is less than ½ meaning that it cannot possibly be the sum of ½ of ⅓.
Explain why the sum of 1/3 and 1/4 must be less than 1 but greater than 1/2 without solving the problem.
¼+⅓ must be less than 1 because 1 is equal to two halves added, but ¼ and ⅓ are both less than ½ which means they will not add up to 1. However, ¼+⅓ must be greater than ½ because two fourths makes up 1 half. Since ⅓ is more than ½, the sum of ⅓ and ¼ must be a little more than ½.
Explain why 0.3 is 10 times the value of 0.03. Use a place value chart or base-ten block description in your explanation.
0.3 (3 tenths) is 10 times 0.03 (3 hundredths) because it take 10 hundredths to make 1 tenth. This means that 30 hundredths is the same as 3 tenths. 30 hundredths (0.30) is 10 times 3 hundredths (0.03), which means 3 tenths (0.3) is 10 times (0.03) 3 hundredths.