Expanded Form Decimals

Ages 9–11 · 6 minutes · Math

Write decimals in expanded form

Write a decimal like 2.46 in expanded form: 2 + 0.4 + 0.06, and reverse the process to write a decimal from its expanded form into standard form.

Part of

Decimals

Standards alignment

Common Core State Standards

5.NBT.A.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

Alabama

MA19.5.4a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.
MA19.5.4 — Read, write, and compare decimals to thousandths.
MA19.4.18 — Use models and decimal notation to represent fractions with denominators of 10 and 100.

Alaska

5.NBT.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form [e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 (1/10) + 9 (1/100) + 2 (1/1000)].
5.NBT.3 — Read, write, and compare decimals to thousandths.

Arizona

5.NBT.A.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

Arkansas

5.NPV.3 — Read and write decimals to thousandths, using base-ten numerals, word form, and a variety of expanded forms.

California

5.NBT.A.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

Colorado

5.NBT.A.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

Connecticut

5.NBT.A.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

Delaware

5.NBT.A.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

Florida

MA.5.NSO.1.2 — Read and write multi-digit numbers with decimals to the thousandths using standard form, word form and expanded form.
MA.5.NSO.1.3 — Compose and decompose multi-digit numbers with decimals to the thousandths in multiple ways using the values of the digits in each place. Demonstrate the compositions or decompositions using objects, drawings and expressions or equations.

Georgia

5.NR.4.1 — Read and write decimal numbers to the thousandths place using base-ten numerals written in standard form and expanded form.
5.NR.4 — Read, write, and compare decimal numbers to the thousandths place, and round and perform operations with decimal numbers to the hundredths place to solve relevant, mathematical problems.

Hawaii

5.NBT.A.3a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

Idaho

5.NBT.A.3.a — Read and write decimals to thousandths using standard form, expanded form, and word from.
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

Illinois

5.NBT.A.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

Indiana

4.NS.5 — Write tenths and hundredths in decimal and fraction notations. Use words, models, standard form, and expanded form to represent decimal numbers to hundredths. Mentally calculate fraction and decimal equivalents for halves and fourths (e.g., 1/2 = 0.5 = 0.50, 7/4 = 1 3/4 = 1.75). (E)

Iowa

5.NBT.A.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form. For example, 347.392 = 300 + 40 + 7 + 0.3 + 0.09 + 0.002.
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

Kansas

5.NBT.3.a — Read and write decimals to thousandths using base-ten numerals, number names, expanded form, and unit form (e.g. expanded form 47.392 = 47.392 = 4 ⋅ 10 + 7 ⋅ 1 + 3 ⋅ 1/10 + 9 ⋅ 1/100 + 2 ⋅ 1/1000; unit form 47.392 = 4 tens + 7 ones + 3 tenths + 9 hundredths + 2 thousandths).
5.NBT.3 — Read, write, and compare decimals to thousandths.

Kentucky

KY.5.NBT.3.a — Read and write decimals to thousandths using base-ten numerals, number names and expanded form.
KY.5.NBT.3 — Read, write and compare decimals to thousandths.

Louisiana

5.NBT.A.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

Maine

5.NBT.A.3a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

Maryland

5.NBT.A.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

Massachusetts

5.NBT.A.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.
4.NF.C.6 — Use decimal notation to represent fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.

Michigan

5.NBT.A.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

Minnesota

4.1.2.4 — Read and write decimals with words and symbols; use place value to describe decimals in terms of thousands, hundreds, tens, ones, tenths, hundredths and thousandths. For example: Writing 362.45 is a shorter way of writing the sum: 3 hundreds + 6 tens + 2 ones + 4 tenths + 5 hundredths, which can also be written as: three hundred sixty-two and forty-five hundredths.
5.1.2.1 — Read and write decimals using place value to describe decimals in terms of groups from millionths to millions. For example: Possible names for the number 0.0037 are: 37 ten thousandths 3 thousandths + 7 ten thousandths; a possible name for the number 1.5 is 15 tenths.

Mississippi

5.NBT.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.3 — Read, write, and compare decimals to thousandths.

Missouri

4.NF.C.11 — Read, write and identify decimals to the hundredths place using number names, base ten numerals and expanded form.

Montana

5.NBT.A.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

Nebraska

4.N.1.a — Read, write, and demonstrate multiple equivalent representations for whole numbers up to 1,000,000 and decimals to the hundredths using visual representations, standard form, and expanded form.
4.N.1 — Numeric Relationships: Students will demonstrate and represent multi-digit numbers using relationships with the base-ten number system.
4.N.1.d — Use decimal notation for fractions with denominators of 10 or 100 (e.g., 43/100 = 0.43).

Nevada

5.NBT.A.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

New Hampshire

5.NBT.A.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.
4.NF.C.6 — Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.

New Jersey

5.NBT.A.3a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000)
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

New Mexico

5.NBT.A.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

New York

NY-5.NBT.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.
NY-5.NBT.3 — Read, write, and compare decimals to thousandths.

North Carolina

NC.5.NBT.3 — Read, write, and compare decimals to thousandths. • Write decimals using base-ten numerals, number names, and expanded form. • Compare two decimals to thousandths based on the value of the digits in each place, using >, =, and < symbols to record the results of comparisons.
NC.4.NF.6 — Use decimal notation to represent fractions. • Express, model and explain the equivalence between fractions with denominators of 10 and 100. • Use equivalent fractions to add two fractions with denominators of 10 or 100. • Represent tenths and hundredths with models, making connections between fractions and decimals.

North Dakota

5.NO.CC.1 — Read and write decimals to the thousandths including standard, word, and expanded forms.

Ohio

5.NBT.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.3 — Read, write, and compare decimals to thousandths.

Oklahoma

4.N.3.7 — Read and write decimals in standard, word, and expanded form up to at least the hundredths place in a variety of contexts, including money.
4.N.3 — Represent and compare fractions and decimals in real-world and mathematical situations; use place value to understand decimal quantities.
4.N.3.6 — Represent tenths and hundredths with concrete and pictorial models, making connections between fractions and decimals.

Oregon

5.NBT.A.3 — Read, write, and compare decimals to thousandths.
4.NF.C.6 — Use and interpret decimal notation for fractions with denominators 10 or 100.

Pennsylvania

CC.2.1.5.B.1 — Apply place-value concepts to show an understanding of operations and rounding as they pertain to whole numbers and decimals.
CC.2.1.4.C.3 — Connect decimal notation to fractions, and compare decimal fractions (base 10 denominator, e.g., 19/100).

Rhode Island

5.NBT.A.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

South Carolina

5.NSBT.3 — Read and write decimals in standard and expanded form. Compare two decimal numbers to the thousandths using the symbols >, =, or <.
5.PS.6b — Represent numbers in an appropriate form according to the context of the situation.

South Dakota

5.NBT.A.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

Tennessee

5.NBT.A.3 — Read and write decimals to thousandths using standard form, word form, and expanded notation (e.g., the expanded notation of 347.392 is written as (3 x 100) + (4 x 10) + (7 x 1) + (3 x (1/10)) + (9 x (1/100)) + (2 x (1/1000))). Compare two decimals to thousandths based on meanings of the digits in each place and use the symbols >, =, and < to show the relationship.

Texas

4.2B — represent the value of the digit in whole numbers through 1,000,000,000 and decimals to the hundredths using expanded notation and numerals;
4.2E — represent decimals, including tenths and hundredths, using concrete and visual models and money;

Utah

5.NBT.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form. For example, 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000).
5.NBT.3 — Read, write, and compare decimals to thousandths.

Vermont

5.NBT.A.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

Virginia

4.NS.4d — Identify and communicate, both orally and in written form, the place and value of each digit in a decimal through thousandths (e.g., given 0.385, the 8 is in the hundredths place and has a value of 0.08).
4.NS.4b — Represent and identify decimals expressed through thousandths, using concrete, pictorial, and numerical representations.
4.NS.4c — Read and write decimals expressed through thousandths, using concrete, pictorial, and numerical representations.

Washington

5.NBT.A.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

Washington, D.C.

5.NBT.A.3.a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3 — Read, write, and compare decimals to thousandths.

West Virginia

M.5.6 — Read, write, and compare decimals to thousandths. a. Read and write decimals to thousandths using base-ten numerals, number names and expanded form (e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 X (1/1000)). b. Compare two decimals to thousandths based on meanings of the digits in each place, using>,= and< symbols to record the results of comparisons.
M.4.17 — Use decimal notation for fractions with denominators 10 or 100 (e.g., rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram).

Wisconsin

M.5.NBT.A.3 — Read, write, and compare decimals to thousandths. a. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). b. Compare decimals to thousandths based on meanings of the digits in each place and describe the result of the comparison using words and symbols ( >, =, and < ).
M.4.NF.C.6 — Use decimal notation for fractions with denominators 10 or 100, connect decimals to real-world contexts, and represent with visual models (e.g., number line or area model).

Wyoming

5.NBT.C.3.A — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.
5.NBT.C — Understand the place value system.
5.NBT.C.3 — Read, write, and compare decimals to thousandths.