Virginia SOL Math / Grade 5 / Computation & Estimation

5.CE.1

Multistep Whole-Number Problems

What you'll learn

  • Solve multistep problems using addition, subtraction, multiplication, and division
  • Interpret remainders in context
  • Estimate to check that answers are reasonable

Words to know

Multistep —
needing more than one operation to solve
Product —
the answer to a multiplication problem
Quotient —
the answer to a division problem
Remainder —
the amount left over after dividing
Estimate —
a close, reasonable answer using rounding

Why it matters Real problems rarely use just one step, so planning which operations to use in order helps us reach the right answer.

Worked examples

Model ItI do

A store sells 4 boxes with 25 pens each. If 30 pens are sold, how many remain?

First multiply to find the total: 4 x 25 = 100 pens. Then subtract the pens sold: 100 - 30 = 70. So 70 pens remain.

Try It TogetherWe do

A bus holds 36 students. How many buses are needed for 150 students?

Divide 150 by 36 to get 4 with a remainder of 6. Those 6 extra students still need a bus, so we round up to 5 buses.

Now YouYou do

Tickets cost 8 dollars each. A class buys 32 tickets and pays with 300 dollars. How much change is returned?

Multiply to find the cost, then subtract from the amount paid. Check your answer in the back of this chapter.

Practice

Mastered 0 of 11

Warm-up

Ease in with the basics.

  1. 1.Find 4 x 12.

  2. 2.Find 84 divided by 4.

  3. 3.A box holds 10 crayons. How many crayons are in 6 boxes?

On Level

The core Quick Check from the book.

  1. 1.Find 6 x 43.

  2. 2.Find 245 divided by 5.

  3. 3.A carton holds 12 eggs. How many eggs are in 15 cartons?

  4. 4.Divide 100 by 7. Write the quotient and remainder.

  5. 5.A club has 3 rooms with 28 chairs each. If 12 chairs break, how many are left?

Challenge

Stretch your thinking.

  1. 1.A theater has 18 rows with 24 seats each. If 375 seats are filled, how many are empty?

  2. 2.A van holds 14 riders. How many vans are needed for 200 riders?

  3. 3.A shop earns 45 dollars per hour. In 8 hours it spends 130 dollars on supplies. What is the profit?