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5th Grade Decimal Operations Worksheet with Answers (Grade 5) – Free PDF

    Key takeaway: This grade 5 decimal operations worksheet collects 23 printable problems on adding, subtracting, multiplying and dividing decimals to hundredths. Early problems use hundredths grids, strips and number lines, so students see why each method works. Later problems apply place value, estimation and money, distance and time. Standard 5.NBT.B.7 is the focus, and a separate answer key is available.

    These 23 problems practice adding, subtracting, multiplying and dividing decimals to hundredths, the skill described by standard 5.NBT.B.7. Early problems use grids, strips and number lines to show why the methods work.

    Later problems use place value, estimation, and real contexts such as money, distance and time. Show every step, line up decimal points, and check each answer with an estimate or an inverse operation.

    Grade 5Common Core: 5.NBT.B.7

    Grade 5 Decimal Operations Worksheet: problems 1–5

    1. Add on a hundredths grid

    The grids show two decimals. Find the sum.

    0.270.46?+=
    Blue shows 0.27 and orange shows 0.46.

    2. Add tenths and hundredths

    Find each sum.

    1. \(0.6 + 0.7\)
    2. \(0.45 + 0.38\)
    3. \(1.25 + 0.9\)
    4. \(3.07 + 2.68\)

    3. Line up and add

    Line up the decimal points and add.

    1. \(12.5 + 3.75\)
    2. \(8.06 + 14.9\)
    3. \(25 + 4.38\)
    4. \(19.99 + 0.01\)

    4. Subtract tenths and hundredths

    Find each difference.

    1. \(0.9 – 0.4\)
    2. \(1 – 0.37\)
    3. \(0.82 – 0.57\)
    4. \(2.4 – 0.65\)

    5. Line up and subtract

    Line up the decimal points and subtract.

    1. \(15.3 – 6.75\)
    2. \(40 – 12.86\)
    3. \(9.05 – 3.9\)
    4. \(20.5 – 8.37\)

    Grade 5 Decimal Operations Worksheet: problems 6–10

    6. Subtract with jumps

    The number line shows jumps from 2.75 up to 4. Find \(4 – 2.75\).

    2.52.7533.253.53.754+0.25+1
    Two jumps from 2.75 to 4.

    7. Find the missing number

    Find the number that makes each equation true.

    1. \(\text{?} + 3.4 = 7.15\)
    2. \(5.2 + \text{?} = 9.04\)
    3. \(\text{?} – 2.6 = 4.45\)
    4. \(12 – \text{?} = 5.35\)

    8. Multiply on a grid

    The grid models a product. Find \(0.3 \times 0.8\).

    0.80.30.3 × 0.8= ?
    Rows show 0.3 and columns show 0.8.

    9. Multiply by a whole number

    Find each product.

    1. \(0.3 \times 4\)
    2. \(0.25 \times 6\)
    3. \(1.4 \times 5\)
    4. \(2.35 \times 4\)

    10. Multiply decimals

    Find each product.

    1. \(0.5 \times 0.6\)
    2. \(1.2 \times 0.3\)
    3. \(0.9 \times 0.9\)
    4. \(4.6 \times 0.5\)

    Grade 5 Decimal Operations Worksheet: problems 11–15

    11. Place the decimal point

    Use the fact \(25 \times 16 = 400\) to find each product.

    1. \(2.5 \times 1.6\)
    2. \(0.25 \times 16\)
    3. \(2.5 \times 0.16\)

    12. Estimate, then multiply

    Estimate each product by rounding to whole numbers, then find the exact product.

    1. \(4.9 \times 3.1\)
    2. \(6.1 \times 2.9\)

    13. Divide by a whole number

    Find each quotient.

    1. \(4.8 : 4\)
    2. \(0.96 : 8\)
    3. \(7.5 : 5\)
    4. \(13.2 : 6\)

    14. Divide with strips

    The strip shows 0.8 split into groups of 0.2. Find \(0.8 : 0.2\).

    0.20.20.20.20.8 in allHow many groups?
    Eight tenths in groups of two tenths.

    15. Divide by a decimal

    Find each quotient.

    1. \(3.6 : 0.9\)
    2. \(4.5 : 0.5\)
    3. \(7.2 : 0.06\)
    4. \(0.84 : 0.12\)

    Grade 5 Decimal Operations Worksheet: problems 16–20

    16. Divide to hundredths

    Find each quotient. Write a decimal, not a remainder.

    1. \(9 : 4\)
    2. \(5.1 : 6\)
    3. \(12.6 : 0.4\)
    4. \(14.7 : 0.7\)

    17. Back-to-school supplies

    Maya buys the three items shown at the school store and pays with a $10 bill.

    1. Find the total cost.
    2. Find her change.
    Notebook$3.45Pen$1.89Folder$2.50
    School store prices.

    18. Training miles

    Jamal runs 2.4 miles on Monday, 3.15 miles on Tuesday, and 1.85 miles on Wednesday. His goal for the week is 10 miles.

    1. How many miles has he run so far?
    2. How many more miles does he need to reach his goal?

    19. Farmers market

    Sofia buys 3.5 pounds of apples at $1.80 per pound and 2.25 pounds of grapes at $2.40 per pound. Find the total cost.

    20. Ribbon pieces

    Ethan has a ribbon that is 18.75 feet long. He cuts it into pieces that are each 0.75 foot long. How many pieces does he get?

    Grade 5 Decimal Operations Worksheet: problems 21–23

    21. Birthday money

    Aisha has $50. She spends $18.75 on a book and $12.40 on lunch. How much money does she have left?

    $18.75$12.40?Total $50
    Aisha starts with $50.

    22. Gas prices

    Diego pays $41.58 for 12.6 gallons of gas.

    1. Find the price per gallon.
    2. At the same price, find the cost of 8.5 gallons.

    23. Relay team

    Four swimmers on a relay team have times of 25.8, 26.45, 24.9, and 27.15 seconds. The team goal is a total of 100 seconds. By how many seconds does the team miss the goal?

    Operations with Decimals: Grade 5 worksheet answer key

    What are 5th grade decimal operations problems like?

    Problem 1 shades 0.27 and 0.46 on a hundredths grid, and problem 2 moves to symbols with sums such as 0.45 plus 0.38. In problems 4 and 5, subtraction needs regrouping, as in 40 minus 12.86. Problem 6 uses jumps from 2.75 up to 4, which gives a counting-up path. Then problem 7 asks for the missing addend in a sentence like ? plus 3.4 equals 7.15.

    How do multiplication and division problems progress?

    Problem 8 models 0.3 times 0.8 as an area, while problems 9 and 10 use whole-number and decimal factors. Problem 11 starts with 25 times 16 equals 400, so students slide the decimal point to find 2.5 times 1.6. In problem 14, eight tenths split into groups of 0.2 gives 4 groups. Problem 15 then divides by 0.9, 0.5, 0.06 and 0.12.

    How does this grade 5 decimal operations worksheet use real money and measures?

    Problem 17 asks for the total and the change from a $10 bill at a school store. In problem 19, Sofia buys 3.5 pounds of apples and 2.25 pounds of grapes at different prices per pound. Problem 20 cuts an 18.75-foot ribbon into 0.75-foot pieces, and problem 22 finds a gas price per gallon from $41.58 for 12.6 gallons. Because the stories mix operations, students must choose before they compute.

    What is a smart way to review this set?

    Highlight every item where the decimal point moved in your answer, then estimate it again with whole numbers. Next, rewrite two division items as whole-number problems. Check the key, and then try the quiz.

    Next step after this grade 5 decimal operations worksheet: Operations with Decimals worksheet answer key

    Printable PDF · Worksheet

    Grade 5 Operations with Decimals worksheet

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