Money Problems

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Answer Key & Explanations

Money Problems · Grade 4 · Worksheet 2

1. Emma is buying supplies for her art project. She needs a sketchbook that costs $12.75, colored pencils for $8.50, and watercolor paints for $15.25. How much money will Emma spend in total on all three art supplies? Answer: $36.50 Solution: Write the amounts to be added: $12.75 + $8.50 + $15.25 Add the hundredths place: 5 + 0 + 5 = 10 hundredths, which is 1 tenth and 0 hundredths Add the tenths place: 7 + 5 + 2 + 1 (from regrouping) = 15 tenths, which is 1 dollar and 5 tenths Add the dollars place: 12 + 8 + 15 + 1 (from regrouping)…
   Full step-by-step solution

   Step 1: Write the amounts to be added: $12.75 + $8.50 + $15.25 Step 2: Add the hundredths place: 5 + 0 + 5 = 10 hundredths, which is 1 tenth and 0 hundredths Step 3: Add the tenths place: 7 + 5 + 2 + 1 (from regrouping) = 15 tenths, which is 1 dollar and 5 tenths Step 4: Add the dollars place: 12 + 8 + 15 + 1 (from regrouping) = 36 dollars Step 5: Combine all amounts: 36 dollars and 50 cents = $36.50 Emma will spend $36.50 in total.

2. Emma is buying art supplies for a school project. She buys a sketchbook for $4.25, colored pencils for $3.75, and a set of markers for $5.50. At the checkout, she also pays $1.20 in tax. How much money did Emma spend in total? Answer: 14.70 Solution: List the cost of each item and the tax. Sketchbook: $4.25 Colored pencils: $3.75 Markers: $5.50 Tax: $1.20 Add the cost of the sketchbook and colored pencils.
   Full step-by-step solution

   Step 1: List the cost of each item and the tax. Sketchbook: $4.25 Colored pencils: $3.75 Markers: $5.50 Tax: $1.20 Step 2: Add the cost of the sketchbook and colored pencils. $4.25 + $3.75 = $8.00 Step 3: Add the cost of the markers to the previous total. $8.00 + $5.50 = $13.50 Step 4: Add the tax to the total cost of the items. $13.50 + $1.20 = $14.70 The answer is $14.70.

3. $18.95 + $7.65 = ? Answer: 26.60 Solution: Write the numbers vertically, aligning the decimal points: 18.95 + 7.65 Add the hundredths place: 5 + 5 = 10. Write 0 in the hundredths place and carry over 1 to the tenths place.
   Full step-by-step solution

   Step 1: Write the numbers vertically, aligning the decimal points: 18.95 + 7.65 ------- Step 2: Add the hundredths place: 5 + 5 = 10. Write 0 in the hundredths place and carry over 1 to the tenths place. Step 3: Add the tenths place: 9 + 6 + 1 (carried over) = 16. Write 6 in the tenths place and carry over 1 to the ones place. Step 4: Add the ones place: 8 + 7 + 1 (carried over) = 16. Write 6 in the ones place and carry over 1 to the tens place. Step 5: Add the tens place: 1 + 1 (carried over) = 2. Write 2 in the tens place. Step 6: Bring down the decimal point. The final answer is $26.60.

4. $23.45 + $17.68 = ? Answer: 41.13 Solution: Write the numbers vertically, aligning the decimal points: 23.45 + 17.68 Add the hundredths place: 5 + 8 = 13. Write 3 in the hundredths place and carry over 1 to the tenths place.
   Full step-by-step solution

   Step 1: Write the numbers vertically, aligning the decimal points: 23.45 + 17.68 ------- Step 2: Add the hundredths place: 5 + 8 = 13. Write 3 in the hundredths place and carry over 1 to the tenths place. Step 3: Add the tenths place: 4 + 6 + 1 (carried over) = 11. Write 1 in the tenths place and carry over 1 to the ones place. Step 4: Add the ones place: 3 + 7 + 1 (carried over) = 11. Write 1 in the ones place and carry over 1 to the tens place. Step 5: Add the tens place: 2 + 1 + 1 (carried over) = 4. Write 4 in the tens place. Step 6: Bring down the decimal point. The final answer is $41.13.

5. 3.45 + 2.75 = ? Answer: 6.20 Solution: Write the numbers one under the other, aligning the decimal points. 3.45 + 2.75 Start adding from the rightmost column (hundredths place). 5 hundredths + 5 hundredths = 10 hundredths.
   Full step-by-step solution

   Let's add 3.45 and 2.75 step-by-step. Step 1: Write the numbers one under the other, aligning the decimal points. 3.45 + 2.75 _______ Step 2: Start adding from the rightmost column (hundredths place). 5 hundredths + 5 hundredths = 10 hundredths. Since 10 hundredths equals 1 tenth and 0 hundredths, write 0 in the hundredths place and carry over 1 to the tenths place. Step 3: Add the tenths place: 4 tenths + 7 tenths = 11 tenths, plus the 1 tenth carried over = 12 tenths. Since 12 tenths equals 1 whole and 2 tenths, write 2 in the tenths place and carry over 1 to the ones place. Step 4: Add the ones place: 3 ones + 2 ones = 5 ones, plus the 1 one carried over = 6 ones. Write 6 in the ones place. Step 5: Place the decimal point in the answer directly below the decimal points in the problem. So we have: 3.45 + 2.75 _______ 6.20 Final answer: 6.20

6. 3.75 + 2.50 = ? Answer: 6.25 Solution: Write the numbers one under the other, aligning the decimal points. 3.75 + 2.50 Start adding from the rightmost column (hundredths place). The hundredths place: 5 (from 3.75) + 0 (from 2.50) = 5.
   Full step-by-step solution

   Let's add 3.75 and 2.50 step-by-step. Step 1: Write the numbers one under the other, aligning the decimal points. 3.75 + 2.50 _______ Step 2: Start adding from the rightmost column (hundredths place). The hundredths place: 5 (from 3.75) + 0 (from 2.50) = 5. Write 5 in the hundredths place of the answer. Step 3: Move to the tenths place. The tenths place: 7 (from 3.75) + 5 (from 2.50) = 12. Since 12 tenths is the same as 1 whole and 2 tenths, write down the 2 in the tenths place and carry over the 1 to the ones place. Step 4: Add the ones place, including the carry-over. Ones place: 3 (from 3.75) + 2 (from 2.50) + 1 (carry-over) = 6. Write 6 in the ones place. Step 5: Combine the results. Ones place: 6 Tenths place: 2 Hundredths place: 5 So the result is 6.25. Final Answer: 6.25

7. Max had $16 in Max's piggy bank. Max took out $5 to buy a gift for a friend. How much money is left in the piggy bank? Answer: 11 Solution: Start with the amount in the piggy bank: $16. Step 2: Subtract the amount taken out: $5. Step 3: Calculate: $16 - $5 = $11.
   Full step-by-step solution

   Step 1: Start with the amount in the piggy bank: $16. Step 2: Subtract the amount taken out: $5. Step 3: Calculate: $16 - $5 = $11. The amount left in the piggy bank is $11.

8. 3.25 × 4 = ? Answer: 13.00 Solution: We are multiplying a decimal number (3.25) by a whole number (4). 3.25 means 3 whole units and 25 hundredths. Break down 3.25 3.25 = 3 + 0.25 0.25 is the same as 25/100, which simplifies to 1/4.
   Full step-by-step solution

   Let's multiply 3.25 by 4 step by step. Step 1: Understand the problem We are multiplying a decimal number (3.25) by a whole number (4). 3.25 means 3 whole units and 25 hundredths. Step 2: Break down 3.25 3.25 = 3 + 0.25 0.25 is the same as 25/100, which simplifies to 1/4. Step 3: Multiply each part separately First, multiply the whole number part: 3 × 4 = 12 Step 4: Multiply the decimal part: 0.25 × 4 Since 0.25 = 1/4, we can do: (1/4) × 4 = 1 Or directly: 0.25 × 4 = 1.00 Step 5: Add the results 12 + 1.00 = 13.00 Step 6: Check decimal places 3.25 has 2 decimal places. 4 has 0 decimal places. Normally, the product should have 2 decimal places. 13.00 indeed has 2 decimal places, so it matches. Final answer: 13.00

9. $18.45 + $12.78 = ? Answer: 31.23 Solution: Write the numbers vertically, aligning the decimal points: 18.45 + 12.78 Add the hundredths place: 5 + 8 = 13. Write 3 in the hundredths place and carry over 1 to the tenths place.
   Full step-by-step solution

   Step 1: Write the numbers vertically, aligning the decimal points: 18.45 + 12.78 ------- Step 2: Add the hundredths place: 5 + 8 = 13. Write 3 in the hundredths place and carry over 1 to the tenths place. Step 3: Add the tenths place: 4 + 7 + 1 (carried over) = 12. Write 2 in the tenths place and carry over 1 to the ones place. Step 4: Add the ones place: 8 + 2 + 1 (carried over) = 11. Write 1 in the ones place and carry over 1 to the tens place. Step 5: Add the tens place: 1 + 1 + 1 (carried over) = 3. Write 3 in the tens place. Step 6: Bring down the decimal point. The final answer is $31.23.