Decimals Worksheets Grade 5

Press Make a new sheet for fresh problems such as 8.4 − 2.65, then print it with the answer key.

20 problems. Differences to hundredths, zero to annex. Sheet J0TC9, with its answer key.

How it works

Print decimals worksheets grade 5 classes can use all year: 20 sheet types in teaching order, from 0.208 in words through powers of 10 to all four operations to hundredths, such as 9.36 ÷ 12 = 0.78.

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What grade 5 covers in decimals

Common Core has fifth graders read, write and compare decimals to thousandths (5.NBT.3) and round them to any place (5.NBT.4). 5.NBT.2 adds multiplying and dividing by powers of 10, and 5.NBT.7 all four operations on decimals to hundredths. Texas 5.2 and 5.3 are narrower: rounding stops at tenths or hundredths, and products at the hundredths.

Which sheets go with which standard

The Sheet type menu follows the year, group by group: read and write (5.NBT.3a), compare and round (5.NBT.3b and 5.NBT.4), adding and subtracting (5.NBT.7), powers of 10 (5.NBT.2), then multiplying and dividing (5.NBT.7). Exponents on 10, multiplying and dividing writes 10³ as 10 × 10 × 10, the whole-number exponents 5.NBT.2 asks for.

  • Quotients with a zero to hold the place catches the skipped zero: 6.18 ÷ 6 = 1.03, and 1.3 × 6 = 7.8 shows why 1.3 is wrong.
  • Nearest whole number, halfway cases included shows that 6.48 ≈ 6: the tenths digit decides and the hundredths digit never does.
  • In Least first or greatest first? Order four decimals the signs on each line say which way to write the list.

Questions and answers

Which 5th grade decimals worksheets should come first?

Start with Decimals in words and digits, both directions, then Expanded form in decimals, zeros inside. Comparing and rounding come next, and the operations follow in the order of the Sheet type menu.

Is there a decimals worksheets grade 5 pdf?

There is no download button. Press Print, then choose Save as PDF in your browser's print window. The file holds the problems on page 1 and the answer key on page 2, both marked with the same sheet code.

Is there a 5th grade decimals test I can print?

Not as one sheet. For a quick check, print Greater, less or equal, to thousandths and Nearest tenth and nearest hundredth, then one sheet from each operation group. Every sheet has its key on page 2.

All 20 sheet types

Read and write decimals to thousandths 4

  • Decimals in words and digits, both directions 0.208 is two hundred eight thousandths, and 0.208 = 208/1000. Half the lines give a numeral and half give its name. The key writes 3.04 as three and four hundredths, with the word and marking the point. Number names are one of the three forms in Common Core 5.NBT.3a.
  • Expanded form in decimals, zeros inside 6.045 = 6 + 0.04 + 0.005 and 30.208 = 30 + 0.2 + 0.008. Every number has a zero somewhere between its first and last digit, and a pupil who expands 6.045 with 0.4 and 0.5 has moved two digits a place. Texas 5.2(A) calls this expanded notation.
  • Expanded form with 1/10, 1/100 and 1/1000 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × 1/10 + 9 × 1/100 + 2 × 1/1000, the example in Common Core 5.NBT.3a. Half the lines expand a numeral and half collapse an expanded form. A zero digit gets no term.
  • Underlined digit: its value as a decimal and a fraction In 5.273 the underlined 7 is worth 0.07, since 5.273 = 5 + 0.2 + 0.07 + 0.003. The pupil writes each value as a decimal and as a fraction, here 7/100. The thousandths digit is underlined in half the problems, because that place is new in grade 5.
Show all 20 sheet types (16 more)

Compare, order and round 5

  • Greater, less or equal, to thousandths 0.308 < 0.38, because 0.38 = 0.380 and 308 thousandths is less than 380 thousandths. Pairs run to thousandths with their lengths mixed, the longer number is the greater in only half of them, and about one pair in ten is equal, such as 0.7 and 0.70.
  • Least first or greatest first? Order four decimals 1.05 < 1.109 < 1.19 < 1.5 on one line, 2.7 > 2.64 > 2.604 > 2.46 on the next. Each line says which way to write the list, half least first and half greatest first, so a pupil who sorts well still has to read the instruction. Texas 5.2(B) has grade 5 order decimals to thousandths; the Common Core names comparing only.
  • Nearest tenth and nearest hundredth 4.372 ≈ 4.4 to the nearest tenth and 4.372 ≈ 4.37 to the nearest hundredth. Every number has three decimal places, and each problem names the place in words, tenth or hundredth, the two places Texas 5.2(C) names for grade 5. The key underlines that digit and circles the one to its right, which decides.
  • Nearest whole number, halfway cases included 6.48 ≈ 6 and 6.5 ≈ 7. The tenths digit decides and the hundredths digit never does, which is why 6.48 cannot round twice to reach 7. About one number in five sits exactly halfway, and these sheets round a half up, the tie rule commonly taught.
  • One number rounded to three places 8.965 ≈ 9 to the nearest whole number, 8.965 ≈ 9.0 to the nearest tenth and 8.965 ≈ 8.97 to the nearest hundredth. Each row of the table rounds one number three ways. The key keeps the zero in 9.0, because it shows that the tenths place was rounded.

Add and subtract to hundredths 3

  • Differences to hundredths, zero to annex 8.4 − 2.65 = 8.40 − 2.65 = 5.75. The top number is the shorter one, so its hundredths column starts empty, and a pupil who brings the 5 straight down gets 5.85. The key writes the annexed zero in every problem and shows each regrouping. The page opens on this sheet.
  • Sums to hundredths, different lengths 3.6 + 2.75 = 6.35. One number stops at tenths and the other at hundredths, so the digits do not line up on the right. Problems print in columns with the points in one line. Hundredths is as far as Common Core 5.NBT.7 takes any of the four operations.
  • Take a decimal from a whole number 7 − 2.38 = 7.00 − 2.38 = 4.62. A whole number has its point after the last digit, so 7 becomes 7.00 and the regrouping runs through both zeros. Counting up checks it: 2.38 + 0.62 = 3 and 3 + 4 = 7, which is 4.62 in all.

Multiply and divide by 10, 100 and 1000 1

  • Exponents on 10, multiplying and dividing 10³ means 10 × 10 × 10 = 1000, so 2.5 × 10³ is 2.5 × 1000 = 2500, and 38 ÷ 10² is 38 ÷ 100 = 0.38. The exponent counts the places the digits move. Common Core 5.NBT.2 asks for whole-number exponents on 10, here 1 to 3.

Multiply decimals, products to hundredths 2

  • One-digit whole number times a decimal 0.6 × 7 = 4.2 and 2.35 × 4 = 9.4. Seven groups of 6 tenths are 42 tenths. Likewise 2.35 is 235 hundredths, 235 × 4 = 940, and 940 hundredths is 9.40, printed as 9.4. Texas 5.3(E) ties decimal products to whole number multiplication like this.
  • Products that stop at hundredths 1.2 × 0.4 = 0.48 and 0.25 × 6 = 1.5. Texas 5.3(E) stops grade 5 products at the hundredths, so the factors here are tenths times tenths, or hundredths times a whole number. Hundredths times tenths would give thousandths, and that pairing is never drawn.

Divide decimals, quotients to hundredths 5

  • Decimal divided by a one-digit whole number 7.2 ÷ 6 = 1.2 and 9.45 ÷ 5 = 1.89. The pupil divides as with whole numbers and writes the point of the quotient directly above the point of the dividend. Every division ends within the digits given, so no zero has to be annexed on this sheet.
  • Divide by a two-digit whole number, quotient to hundredths 9.36 ÷ 12 = 0.78, and the check is 0.78 × 12 = 9.36. Since 12 does not go into 9, the quotient starts with a 0 before the point. Texas 5.3(G) sets this limit for grade 5: dividends of up to four digits and two-digit whole number divisors.
  • Divide by tenths: make the divisor whole 1.4 ÷ 0.2 = 14 ÷ 2 = 7. Multiplying both numbers by 10 leaves the quotient unchanged and makes the divisor whole. Common Core 5.NBT.7 sets no whole-number limit on divisors, but Texas 5.3(G) does, so in Texas this sheet is grade 6 work.
  • Quotients with a zero to hold the place 6.18 ÷ 6 = 1.03 and 0.35 ÷ 7 = 0.05. When 6 does not go into 1, a zero is written in the tenths place before the 8 comes down. Pupils who skip it write 1.3, and multiplying back exposes that: 1.3 × 6 = 7.8.
  • Whole number divided by a whole number, decimal quotient 9 ÷ 4 = 2.25 and 3 ÷ 4 = 0.75. The pupil does not stop at a remainder but writes 9 as 9.00 and keeps dividing. With divisors 2, 4, 5, 20, 25 and 50 every quotient ends by the hundredths. Common Core 5.NF.3 reads 3/4 as a division.

How this list was compiled: Our own list of sheet types, written in September 2026. Every worked example was checked twice with exact arithmetic, in two separate ways. The standards named in this list were read in the full texts on 2026-09-20. Common Core State Standards for Mathematics, https://learning.ccsso.org/wp-content/uploads/2022/11/Math_Standards1.pdf : 5.NBT.1 (a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left), 5.NBT.2 (patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10; whole-number exponents for powers of 10), 5.NBT.3a (read and write decimals to thousandths using base-ten numerals, number names and expanded form), 5.NBT.3b (compare two decimals to thousandths), 5.NBT.4 (use place value understanding to round decimals to any place), 5.NBT.7 (add, subtract, multiply and divide decimals to hundredths, using concrete models or drawings and strategies based on place value), 5.NF.3 (a fraction as division of the numerator by the denominator), 5.NF.5 (multiplication as scaling), 5.MD.1 (convert among different-sized standard measurement units within a given measurement system, e.g. convert 5 cm to 0.05 m, and use these conversions in multi-step problems), 4.NF.5 and 4.NF.6 (3/10 + 4/100 = 34/100; decimal notation for fractions with denominators 10 or 100). The grade 5 Common Core standards speak of comparing two decimals and do not use the word order. Texas Essential Knowledge and Skills for Mathematics, 19 TAC chapter 111, https://tea.texas.gov/laws-and-rules/sboe-rules-tac/sboe-tac-currently-effect/ch111a.pdf : 5.2(A) (the value of the digit in decimals through the thousandths using expanded notation and numerals), 5.2(B) (compare and order two decimals to thousandths), 5.2(C) (round decimals to tenths or hundredths), 5.3(A) (estimate), 5.3(D) (multiplication of decimals with products to the hundredths using objects and pictorial models, including area models), 5.3(E) (products of decimals to the hundredths), 5.3(F) and 5.3(G) (quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors), 5.3(K) (add and subtract positive rational numbers fluently), 5.7 (conversions within a measurement system, customary or metric), 4.2(A) and 4.2(G) (grade 4 place value, and decimals related to fractions in tenths and hundredths). Grade 6, https://tea.texas.gov/laws-and-rules/sboe-rules-tac/sboe-tac-currently-effect/ch111b.pdf : 6.3(E) (multiply and divide positive rational numbers fluently), which is where a decimal divisor first fits in Texas. Reference articles: https://en.wikipedia.org/wiki/Rounding (rounding a half away from zero is called a commonly taught and used rule for breaking ties; for positive numbers it agrees with rounding a half up; neither standards text states a tie rule), https://en.wikipedia.org/wiki/Long_division (the decimal point of the quotient goes directly above the decimal point of the dividend) and https://en.wikipedia.org/wiki/Decimal (trailing zeros do not change a number), all read 2026-09-20; https://en.wikipedia.org/wiki/Metric_prefix (kilo 1000, centi 0.01, milli 0.001), read 2026-09-19. The standards are a checklist for teachers; neither body has reviewed these sheets. Licence: own work