← Ten hundreds make one thousand · Place-Value Regrouping

Ten hundreds make one thousand · 12 practice problems

2.MD.C.8

0 / 12 solved

Show all answers (parent / teacher)

Generated variants — 12

Freshly produced from the archetype’s parameters — problem, figure, and solution derived together.

Variant 1 easy

Sophie has 8 ten-dollar bills and 10 dimes. How much money does Sophie have in all?

Your answer

Show solution

1 · Understandwhat's really being asked

Sophie has 8 ten-dollar bills and 10 dimes. Find the total amount of money.

Givens

There are 8 ten-dollar bills.
There are 10 dimes (each dime is 10 cents).
Ten dimes make one dollar.

Unknowns

The total amount of money in all.

Constraints

Money is counted in dollars and cents; 100 cents make a dollar.

2 · Planchoose the strategy

#8 Analyze the Units · also uses: #7 Identify Subproblems

There are two kinds of money, so I find the value of each group separately by tracking its units (bills to dollars, dimes to dollars) and then add the two totals.

3 · Execute3 carry out the plan

1Value of the ten-dollar bills

#7 Identify Subproblems 2.MD.C.8

Each ten-dollar bill is worth $10, and there are 8 of them, so the bills are worth 8 times $10, which is $80.

8 \times \$10 = \$80

Counting by tens gives the dollar value of the bills.

2Value of the dimes

#8 Analyze the Units 2.MD.C.8

Each dime is 10 cents, and ten dimes make one dollar. So 10 dimes are 100 cents, which is $1.

10 \times 10\text{ cents} = 100\text{ cents} = \$1

Because ten dimes equal a dollar, the dimes bundle into whole dollars, the same way ten hundreds make a thousand.

3Add the two amounts

#7 Identify Subproblems 2.MD.C.8

Combine the bills and the dimes: $80 from the bills plus $1 from the dimes is $81.

\$80 + \$1 = \$81

The total money is just the dollar amounts of each group added together.

Answer: $81

4 · Reviewdoes it hold up?

The bills alone are $80 and the dimes add $1, so a total of $81 is sensible; 100 cents is exactly $1, confirming $81.

Another way: Convert everything to cents: 8 bills = 8000 cents, 10 dimes = 100 cents, total 8100 cents = $81.

Standardsmin grade 2

2.MD.C.8 Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies — Finding and adding the values of ten-dollar bills and dimes.

💡Takeaway. Ten dimes bundle up into a dollar, so a pile of dimes is just a few dollars to add to your bills!

Variant 2 easy

Sophie has 5 ten-dollar bills and 10 dimes. How much money does Sophie have in all?

Your answer

Show solution

1 · Understandwhat's really being asked

Sophie has 5 ten-dollar bills and 10 dimes. Find the total amount of money.

Givens

There are 5 ten-dollar bills.
There are 10 dimes (each dime is 10 cents).
Ten dimes make one dollar.

Unknowns

The total amount of money in all.

Constraints

Money is counted in dollars and cents; 100 cents make a dollar.

2 · Planchoose the strategy

#8 Analyze the Units · also uses: #7 Identify Subproblems

There are two kinds of money, so I find the value of each group separately by tracking its units (bills to dollars, dimes to dollars) and then add the two totals.

3 · Execute3 carry out the plan

1Value of the ten-dollar bills

#7 Identify Subproblems 2.MD.C.8

Each ten-dollar bill is worth $10, and there are 5 of them, so the bills are worth 5 times $10, which is $50.

5 \times \$10 = \$50

Counting by tens gives the dollar value of the bills.

2Value of the dimes

#8 Analyze the Units 2.MD.C.8

Each dime is 10 cents, and ten dimes make one dollar. So 10 dimes are 100 cents, which is $1.

10 \times 10\text{ cents} = 100\text{ cents} = \$1

Because ten dimes equal a dollar, the dimes bundle into whole dollars, the same way ten hundreds make a thousand.

3Add the two amounts

#7 Identify Subproblems 2.MD.C.8

Combine the bills and the dimes: $50 from the bills plus $1 from the dimes is $51.

\$50 + \$1 = \$51

The total money is just the dollar amounts of each group added together.

Answer: $51

4 · Reviewdoes it hold up?

The bills alone are $50 and the dimes add $1, so a total of $51 is sensible; 100 cents is exactly $1, confirming $51.

Another way: Convert everything to cents: 5 bills = 5000 cents, 10 dimes = 100 cents, total 5100 cents = $51.

Standardsmin grade 2

2.MD.C.8 Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies — Finding and adding the values of ten-dollar bills and dimes.

💡Takeaway. Ten dimes bundle up into a dollar, so a pile of dimes is just a few dollars to add to your bills!

Variant 3 easy

Sophie has 3 ten-dollar bills and 20 dimes. How much money does Sophie have in all?

Your answer

Show solution

1 · Understandwhat's really being asked

Sophie has 3 ten-dollar bills and 20 dimes. Find the total amount of money.

Givens

There are 3 ten-dollar bills.
There are 20 dimes (each dime is 10 cents).
Ten dimes make one dollar.

Unknowns

The total amount of money in all.

Constraints

Money is counted in dollars and cents; 100 cents make a dollar.

2 · Planchoose the strategy

#8 Analyze the Units · also uses: #7 Identify Subproblems

There are two kinds of money, so I find the value of each group separately by tracking its units (bills to dollars, dimes to dollars) and then add the two totals.

3 · Execute3 carry out the plan

1Value of the ten-dollar bills

#7 Identify Subproblems 2.MD.C.8

Each ten-dollar bill is worth $10, and there are 3 of them, so the bills are worth 3 times $10, which is $30.

3 \times \$10 = \$30

Counting by tens gives the dollar value of the bills.

2Value of the dimes

#8 Analyze the Units 2.MD.C.8

Each dime is 10 cents, and ten dimes make one dollar. So 20 dimes are 200 cents, which is $2.

20 \times 10\text{ cents} = 200\text{ cents} = \$2

Because ten dimes equal a dollar, the dimes bundle into whole dollars, the same way ten hundreds make a thousand.

3Add the two amounts

#7 Identify Subproblems 2.MD.C.8

Combine the bills and the dimes: $30 from the bills plus $2 from the dimes is $32.

\$30 + \$2 = \$32

The total money is just the dollar amounts of each group added together.

Answer: $32

4 · Reviewdoes it hold up?

The bills alone are $30 and the dimes add $2, so a total of $32 is sensible; 200 cents is exactly $2, confirming $32.

Another way: Convert everything to cents: 3 bills = 3000 cents, 20 dimes = 200 cents, total 3200 cents = $32.

Standardsmin grade 2

2.MD.C.8 Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies — Finding and adding the values of ten-dollar bills and dimes.

💡Takeaway. Ten dimes bundle up into a dollar, so a pile of dimes is just a few dollars to add to your bills!

Variant 4 easy

Sophie has 6 ten-dollar bills and 20 dimes. How much money does Sophie have in all?

Your answer

Show solution

1 · Understandwhat's really being asked

Sophie has 6 ten-dollar bills and 20 dimes. Find the total amount of money.

Givens

There are 6 ten-dollar bills.
There are 20 dimes (each dime is 10 cents).
Ten dimes make one dollar.

Unknowns

The total amount of money in all.

Constraints

Money is counted in dollars and cents; 100 cents make a dollar.

2 · Planchoose the strategy

#8 Analyze the Units · also uses: #7 Identify Subproblems

There are two kinds of money, so I find the value of each group separately by tracking its units (bills to dollars, dimes to dollars) and then add the two totals.

3 · Execute3 carry out the plan

1Value of the ten-dollar bills

#7 Identify Subproblems 2.MD.C.8

Each ten-dollar bill is worth $10, and there are 6 of them, so the bills are worth 6 times $10, which is $60.

6 \times \$10 = \$60

Counting by tens gives the dollar value of the bills.

2Value of the dimes

#8 Analyze the Units 2.MD.C.8

Each dime is 10 cents, and ten dimes make one dollar. So 20 dimes are 200 cents, which is $2.

20 \times 10\text{ cents} = 200\text{ cents} = \$2

Because ten dimes equal a dollar, the dimes bundle into whole dollars, the same way ten hundreds make a thousand.

3Add the two amounts

#7 Identify Subproblems 2.MD.C.8

Combine the bills and the dimes: $60 from the bills plus $2 from the dimes is $62.

\$60 + \$2 = \$62

The total money is just the dollar amounts of each group added together.

Answer: $62

4 · Reviewdoes it hold up?

The bills alone are $60 and the dimes add $2, so a total of $62 is sensible; 200 cents is exactly $2, confirming $62.

Another way: Convert everything to cents: 6 bills = 6000 cents, 20 dimes = 200 cents, total 6200 cents = $62.

Standardsmin grade 2

2.MD.C.8 Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies — Finding and adding the values of ten-dollar bills and dimes.

💡Takeaway. Ten dimes bundle up into a dollar, so a pile of dimes is just a few dollars to add to your bills!

Variant 5 medium

Sophie has 7 ten-dollar bills and 30 dimes. How much money does Sophie have in all?

Your answer

Show solution

1 · Understandwhat's really being asked

Sophie has 7 ten-dollar bills and 30 dimes. Find the total amount of money.

Givens

There are 7 ten-dollar bills.
There are 30 dimes (each dime is 10 cents).
Ten dimes make one dollar.

Unknowns

The total amount of money in all.

Constraints

Money is counted in dollars and cents; 100 cents make a dollar.

2 · Planchoose the strategy

#8 Analyze the Units · also uses: #7 Identify Subproblems

There are two kinds of money, so I find the value of each group separately by tracking its units (bills to dollars, dimes to dollars) and then add the two totals.

3 · Execute3 carry out the plan

1Value of the ten-dollar bills

#7 Identify Subproblems 2.MD.C.8

Each ten-dollar bill is worth $10, and there are 7 of them, so the bills are worth 7 times $10, which is $70.

7 \times \$10 = \$70

Counting by tens gives the dollar value of the bills.

2Value of the dimes

#8 Analyze the Units 2.MD.C.8

Each dime is 10 cents, and ten dimes make one dollar. So 30 dimes are 300 cents, which is $3.

30 \times 10\text{ cents} = 300\text{ cents} = \$3

Because ten dimes equal a dollar, the dimes bundle into whole dollars, the same way ten hundreds make a thousand.

3Add the two amounts

#7 Identify Subproblems 2.MD.C.8

Combine the bills and the dimes: $70 from the bills plus $3 from the dimes is $73.

\$70 + \$3 = \$73

The total money is just the dollar amounts of each group added together.

Answer: $73

4 · Reviewdoes it hold up?

The bills alone are $70 and the dimes add $3, so a total of $73 is sensible; 300 cents is exactly $3, confirming $73.

Another way: Convert everything to cents: 7 bills = 7000 cents, 30 dimes = 300 cents, total 7300 cents = $73.

Standardsmin grade 2

2.MD.C.8 Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies — Finding and adding the values of ten-dollar bills and dimes.

💡Takeaway. Ten dimes bundle up into a dollar, so a pile of dimes is just a few dollars to add to your bills!

Variant 6 medium

Sophie has 2 ten-dollar bills and 30 dimes. How much money does Sophie have in all?

Your answer

Show solution

1 · Understandwhat's really being asked

Sophie has 2 ten-dollar bills and 30 dimes. Find the total amount of money.

Givens

There are 2 ten-dollar bills.
There are 30 dimes (each dime is 10 cents).
Ten dimes make one dollar.

Unknowns

The total amount of money in all.

Constraints

Money is counted in dollars and cents; 100 cents make a dollar.

2 · Planchoose the strategy

#8 Analyze the Units · also uses: #7 Identify Subproblems

There are two kinds of money, so I find the value of each group separately by tracking its units (bills to dollars, dimes to dollars) and then add the two totals.

3 · Execute3 carry out the plan

1Value of the ten-dollar bills

#7 Identify Subproblems 2.MD.C.8

Each ten-dollar bill is worth $10, and there are 2 of them, so the bills are worth 2 times $10, which is $20.

2 \times \$10 = \$20

Counting by tens gives the dollar value of the bills.

2Value of the dimes

#8 Analyze the Units 2.MD.C.8

Each dime is 10 cents, and ten dimes make one dollar. So 30 dimes are 300 cents, which is $3.

30 \times 10\text{ cents} = 300\text{ cents} = \$3

Because ten dimes equal a dollar, the dimes bundle into whole dollars, the same way ten hundreds make a thousand.

3Add the two amounts

#7 Identify Subproblems 2.MD.C.8

Combine the bills and the dimes: $20 from the bills plus $3 from the dimes is $23.

\$20 + \$3 = \$23

The total money is just the dollar amounts of each group added together.

Answer: $23

4 · Reviewdoes it hold up?

The bills alone are $20 and the dimes add $3, so a total of $23 is sensible; 300 cents is exactly $3, confirming $23.

Another way: Convert everything to cents: 2 bills = 2000 cents, 30 dimes = 300 cents, total 2300 cents = $23.

Standardsmin grade 2

2.MD.C.8 Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies — Finding and adding the values of ten-dollar bills and dimes.

💡Takeaway. Ten dimes bundle up into a dollar, so a pile of dimes is just a few dollars to add to your bills!

Variant 7 medium

Sophie has 4 ten-dollar bills and 40 dimes. How much money does Sophie have in all?

Your answer

Show solution

1 · Understandwhat's really being asked

Sophie has 4 ten-dollar bills and 40 dimes. Find the total amount of money.

Givens

There are 4 ten-dollar bills.
There are 40 dimes (each dime is 10 cents).
Ten dimes make one dollar.

Unknowns

The total amount of money in all.

Constraints

Money is counted in dollars and cents; 100 cents make a dollar.

2 · Planchoose the strategy

#8 Analyze the Units · also uses: #7 Identify Subproblems

There are two kinds of money, so I find the value of each group separately by tracking its units (bills to dollars, dimes to dollars) and then add the two totals.

3 · Execute3 carry out the plan

1Value of the ten-dollar bills

#7 Identify Subproblems 2.MD.C.8

Each ten-dollar bill is worth $10, and there are 4 of them, so the bills are worth 4 times $10, which is $40.

4 \times \$10 = \$40

Counting by tens gives the dollar value of the bills.

2Value of the dimes

#8 Analyze the Units 2.MD.C.8

Each dime is 10 cents, and ten dimes make one dollar. So 40 dimes are 400 cents, which is $4.

40 \times 10\text{ cents} = 400\text{ cents} = \$4

Because ten dimes equal a dollar, the dimes bundle into whole dollars, the same way ten hundreds make a thousand.

3Add the two amounts

#7 Identify Subproblems 2.MD.C.8

Combine the bills and the dimes: $40 from the bills plus $4 from the dimes is $44.

\$40 + \$4 = \$44

The total money is just the dollar amounts of each group added together.

Answer: $44

4 · Reviewdoes it hold up?

The bills alone are $40 and the dimes add $4, so a total of $44 is sensible; 400 cents is exactly $4, confirming $44.

Another way: Convert everything to cents: 4 bills = 4000 cents, 40 dimes = 400 cents, total 4400 cents = $44.

Standardsmin grade 2

2.MD.C.8 Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies — Finding and adding the values of ten-dollar bills and dimes.

💡Takeaway. Ten dimes bundle up into a dollar, so a pile of dimes is just a few dollars to add to your bills!

Variant 8 medium

Sophie has 1 ten-dollar bills and 50 dimes. How much money does Sophie have in all?

Your answer

Show solution

1 · Understandwhat's really being asked

Sophie has 1 ten-dollar bills and 50 dimes. Find the total amount of money.

Givens

There are 1 ten-dollar bills.
There are 50 dimes (each dime is 10 cents).
Ten dimes make one dollar.

Unknowns

The total amount of money in all.

Constraints

Money is counted in dollars and cents; 100 cents make a dollar.

2 · Planchoose the strategy

#8 Analyze the Units · also uses: #7 Identify Subproblems

There are two kinds of money, so I find the value of each group separately by tracking its units (bills to dollars, dimes to dollars) and then add the two totals.

3 · Execute3 carry out the plan

1Value of the ten-dollar bills

#7 Identify Subproblems 2.MD.C.8

Each ten-dollar bill is worth $10, and there are 1 of them, so the bills are worth 1 times $10, which is $10.

1 \times \$10 = \$10

Counting by tens gives the dollar value of the bills.

2Value of the dimes

#8 Analyze the Units 2.MD.C.8

Each dime is 10 cents, and ten dimes make one dollar. So 50 dimes are 500 cents, which is $5.

50 \times 10\text{ cents} = 500\text{ cents} = \$5

Because ten dimes equal a dollar, the dimes bundle into whole dollars, the same way ten hundreds make a thousand.

3Add the two amounts

#7 Identify Subproblems 2.MD.C.8

Combine the bills and the dimes: $10 from the bills plus $5 from the dimes is $15.

\$10 + \$5 = \$15

The total money is just the dollar amounts of each group added together.

Answer: $15

4 · Reviewdoes it hold up?

The bills alone are $10 and the dimes add $5, so a total of $15 is sensible; 500 cents is exactly $5, confirming $15.

Another way: Convert everything to cents: 1 bills = 1000 cents, 50 dimes = 500 cents, total 1500 cents = $15.

Standardsmin grade 2

2.MD.C.8 Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies — Finding and adding the values of ten-dollar bills and dimes.

💡Takeaway. Ten dimes bundle up into a dollar, so a pile of dimes is just a few dollars to add to your bills!

Variant 9 hard

Sophie has 5 ten-dollar bills and 50 dimes. How much money does Sophie have in all?

Your answer

Show solution

1 · Understandwhat's really being asked

Sophie has 5 ten-dollar bills and 50 dimes. Find the total amount of money.

Givens

There are 5 ten-dollar bills.
There are 50 dimes (each dime is 10 cents).
Ten dimes make one dollar.

Unknowns

The total amount of money in all.

Constraints

Money is counted in dollars and cents; 100 cents make a dollar.

2 · Planchoose the strategy

#8 Analyze the Units · also uses: #7 Identify Subproblems

There are two kinds of money, so I find the value of each group separately by tracking its units (bills to dollars, dimes to dollars) and then add the two totals.

3 · Execute3 carry out the plan

1Value of the ten-dollar bills

#7 Identify Subproblems 2.MD.C.8

Each ten-dollar bill is worth $10, and there are 5 of them, so the bills are worth 5 times $10, which is $50.

5 \times \$10 = \$50

Counting by tens gives the dollar value of the bills.

2Value of the dimes

#8 Analyze the Units 2.MD.C.8

Each dime is 10 cents, and ten dimes make one dollar. So 50 dimes are 500 cents, which is $5.

50 \times 10\text{ cents} = 500\text{ cents} = \$5

Because ten dimes equal a dollar, the dimes bundle into whole dollars, the same way ten hundreds make a thousand.

3Add the two amounts

#7 Identify Subproblems 2.MD.C.8

Combine the bills and the dimes: $50 from the bills plus $5 from the dimes is $55.

\$50 + \$5 = \$55

The total money is just the dollar amounts of each group added together.

Answer: $55

4 · Reviewdoes it hold up?

The bills alone are $50 and the dimes add $5, so a total of $55 is sensible; 500 cents is exactly $5, confirming $55.

Another way: Convert everything to cents: 5 bills = 5000 cents, 50 dimes = 500 cents, total 5500 cents = $55.

Standardsmin grade 2

2.MD.C.8 Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies — Finding and adding the values of ten-dollar bills and dimes.

💡Takeaway. Ten dimes bundle up into a dollar, so a pile of dimes is just a few dollars to add to your bills!

Variant 10 hard

Sophie has 3 ten-dollar bills and 60 dimes. How much money does Sophie have in all?

Your answer

Show solution

1 · Understandwhat's really being asked

Sophie has 3 ten-dollar bills and 60 dimes. Find the total amount of money.

Givens

There are 3 ten-dollar bills.
There are 60 dimes (each dime is 10 cents).
Ten dimes make one dollar.

Unknowns

The total amount of money in all.

Constraints

Money is counted in dollars and cents; 100 cents make a dollar.

2 · Planchoose the strategy

#8 Analyze the Units · also uses: #7 Identify Subproblems

There are two kinds of money, so I find the value of each group separately by tracking its units (bills to dollars, dimes to dollars) and then add the two totals.

3 · Execute3 carry out the plan

1Value of the ten-dollar bills

#7 Identify Subproblems 2.MD.C.8

Each ten-dollar bill is worth $10, and there are 3 of them, so the bills are worth 3 times $10, which is $30.

3 \times \$10 = \$30

Counting by tens gives the dollar value of the bills.

2Value of the dimes

#8 Analyze the Units 2.MD.C.8

Each dime is 10 cents, and ten dimes make one dollar. So 60 dimes are 600 cents, which is $6.

60 \times 10\text{ cents} = 600\text{ cents} = \$6

Because ten dimes equal a dollar, the dimes bundle into whole dollars, the same way ten hundreds make a thousand.

3Add the two amounts

#7 Identify Subproblems 2.MD.C.8

Combine the bills and the dimes: $30 from the bills plus $6 from the dimes is $36.

\$30 + \$6 = \$36

The total money is just the dollar amounts of each group added together.

Answer: $36

4 · Reviewdoes it hold up?

The bills alone are $30 and the dimes add $6, so a total of $36 is sensible; 600 cents is exactly $6, confirming $36.

Another way: Convert everything to cents: 3 bills = 3000 cents, 60 dimes = 600 cents, total 3600 cents = $36.

Standardsmin grade 2

2.MD.C.8 Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies — Finding and adding the values of ten-dollar bills and dimes.

💡Takeaway. Ten dimes bundle up into a dollar, so a pile of dimes is just a few dollars to add to your bills!

Variant 11 hard

Sophie has 2 ten-dollar bills and 70 dimes. How much money does Sophie have in all?

Your answer

Show solution

1 · Understandwhat's really being asked

Sophie has 2 ten-dollar bills and 70 dimes. Find the total amount of money.

Givens

There are 2 ten-dollar bills.
There are 70 dimes (each dime is 10 cents).
Ten dimes make one dollar.

Unknowns

The total amount of money in all.

Constraints

Money is counted in dollars and cents; 100 cents make a dollar.

2 · Planchoose the strategy

#8 Analyze the Units · also uses: #7 Identify Subproblems

There are two kinds of money, so I find the value of each group separately by tracking its units (bills to dollars, dimes to dollars) and then add the two totals.

3 · Execute3 carry out the plan

1Value of the ten-dollar bills

#7 Identify Subproblems 2.MD.C.8

Each ten-dollar bill is worth $10, and there are 2 of them, so the bills are worth 2 times $10, which is $20.

2 \times \$10 = \$20

Counting by tens gives the dollar value of the bills.

2Value of the dimes

#8 Analyze the Units 2.MD.C.8

Each dime is 10 cents, and ten dimes make one dollar. So 70 dimes are 700 cents, which is $7.

70 \times 10\text{ cents} = 700\text{ cents} = \$7

Because ten dimes equal a dollar, the dimes bundle into whole dollars, the same way ten hundreds make a thousand.

3Add the two amounts

#7 Identify Subproblems 2.MD.C.8

Combine the bills and the dimes: $20 from the bills plus $7 from the dimes is $27.

\$20 + \$7 = \$27

The total money is just the dollar amounts of each group added together.

Answer: $27

4 · Reviewdoes it hold up?

The bills alone are $20 and the dimes add $7, so a total of $27 is sensible; 700 cents is exactly $7, confirming $27.

Another way: Convert everything to cents: 2 bills = 2000 cents, 70 dimes = 700 cents, total 2700 cents = $27.

Standardsmin grade 2

2.MD.C.8 Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies — Finding and adding the values of ten-dollar bills and dimes.

💡Takeaway. Ten dimes bundle up into a dollar, so a pile of dimes is just a few dollars to add to your bills!

Variant 12 hard

Sophie has 4 ten-dollar bills and 90 dimes. How much money does Sophie have in all?

Your answer

Show solution

1 · Understandwhat's really being asked

Sophie has 4 ten-dollar bills and 90 dimes. Find the total amount of money.

Givens

There are 4 ten-dollar bills.
There are 90 dimes (each dime is 10 cents).
Ten dimes make one dollar.

Unknowns

The total amount of money in all.

Constraints

Money is counted in dollars and cents; 100 cents make a dollar.

2 · Planchoose the strategy

#8 Analyze the Units · also uses: #7 Identify Subproblems

There are two kinds of money, so I find the value of each group separately by tracking its units (bills to dollars, dimes to dollars) and then add the two totals.

3 · Execute3 carry out the plan

1Value of the ten-dollar bills

#7 Identify Subproblems 2.MD.C.8

Each ten-dollar bill is worth $10, and there are 4 of them, so the bills are worth 4 times $10, which is $40.

4 \times \$10 = \$40

Counting by tens gives the dollar value of the bills.

2Value of the dimes

#8 Analyze the Units 2.MD.C.8

Each dime is 10 cents, and ten dimes make one dollar. So 90 dimes are 900 cents, which is $9.

90 \times 10\text{ cents} = 900\text{ cents} = \$9

Because ten dimes equal a dollar, the dimes bundle into whole dollars, the same way ten hundreds make a thousand.

3Add the two amounts

#7 Identify Subproblems 2.MD.C.8

Combine the bills and the dimes: $40 from the bills plus $9 from the dimes is $49.

\$40 + \$9 = \$49

The total money is just the dollar amounts of each group added together.

Answer: $49

4 · Reviewdoes it hold up?

The bills alone are $40 and the dimes add $9, so a total of $49 is sensible; 900 cents is exactly $9, confirming $49.

Another way: Convert everything to cents: 4 bills = 4000 cents, 90 dimes = 900 cents, total 4900 cents = $49.

Standardsmin grade 2

2.MD.C.8 Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies — Finding and adding the values of ten-dollar bills and dimes.

💡Takeaway. Ten dimes bundle up into a dollar, so a pile of dimes is just a few dollars to add to your bills!

Where next?

← Back to the problem: Ten hundreds make one thousand