Larger Numbers with Tenths

Larger Numbers with Tenths

Ages 9–11 · 6 minutes · Math

Place multi-digit decimals on a number line

Students will place decimal numbers with whole number parts (such as 2.4 and 56.9) on a number line and identify the decimal value at a given point, extending their understanding of tenths beyond values less than one.

Part of

Standards alignment

Common Core State Standards

  • 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.
  • 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).

Alabama

  • MA19.4.18 — Use models and decimal notation to represent fractions with denominators of 10 and 100.
  • MA19.5.4a — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.
  • MA19.4.22c — Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.

Alaska

  • 4.NF.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.
  • 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)].

Arizona

  • 4.NF.C.6 * — Use decimal notation for fractions with denominators 10 (tenths) or 100 (hundredths), and locate these decimals on a number line.

Arkansas

  • 4.NPV.10 — Apply decimal notation for fractions with denominators 10 or 100.
  • 5.NPV.3 — Read and write decimals to thousandths, using base-ten numerals, word form, and a variety of expanded forms.

California

  • 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.
  • 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).

Colorado

  • 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.
  • 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).

Connecticut

  • 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.
  • 5.NBT.A.3 — Read, write, and compare decimals to thousandths.

Delaware

  • 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.
  • 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).

Florida

  • MA.4.NSO.1.5 — Plot, order and compare decimals up to the hundredths.
  • MA.4.FR.1.2 — Use decimal notation to represent fractions with denominators of 10 or 100, including mixed numbers and fractions greater than 1, and use fractional notation with denominators of 10 or 100 to represent decimals.

Georgia

  • 4.NR.5.2 — Represent, read, and write fractions with denominators of 10 or 100 using decimal notation, and decimal numbers to the hundredths place as fractions, using concrete materials and drawings.
  • 4.NR.5 — Solve real-life problems involving addition, equivalence, comparison of fractions with denominators of 10 and 100, and comparison of decimal numbers as tenths and hundredths using part-whole strategies and visual models.

Hawaii

  • 4.NF.C.6 — Use decimal notation for fractions with denominators 10 or 100.
  • 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).

Idaho

  • 4.NF.C.6 — Use decimal notation to represent fractions with denominators 10 or 100.
  • 5.NBT.A.3.a — Read and write decimals to thousandths using standard form, expanded form, and word from.

Illinois

  • 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.
  • 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).

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)
  • 4.NS.2 — Model mixed numbers and improper fractions using visual fraction models such as number lines and area models. Use a visual fraction model to show the equivalency between whole numbers and whole numbers as fractions.

Iowa

  • 4.NF.C.6 — Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100 and locate 0.62 on a number line.
  • 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.

Kansas

  • 4.NF.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.
  • 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).

Kentucky

  • KY.4.NF.6 — Use decimal notation for fractions with denominators 10 or 100.
  • KY.5.NBT.3.a — Read and write decimals to thousandths using base-ten numerals, number names and expanded form.
  • KY.4.MD.2.c — Visually display measurement quantities using representations such as number lines that feature a measurement scale.

Louisiana

  • 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.
  • 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).

Maine

  • 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.
  • 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).

Maryland

  • 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.
  • 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).

Massachusetts

  • 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.
  • 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).

Michigan

  • 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.
  • 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).

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.
  • 4.1.2.6 — Read and write tenths and hundredths in decimal and fraction notations using words and symbols; know the fraction and decimal equivalents for halves and fourths. For example: 1/2 = 0.5 = 0.50 and 7/4 = 1 3/4 = 1.75, which can also be written as one and three-fourths or one and seventy-five hundredths.
  • 4.1.2.5 — Compare and order decimals and whole numbers using place value, a number line and models such as grids and base 10 blocks.

Mississippi

  • 4.NF.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.
  • 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).

Missouri

  • 4.NF.C.11 — Read, write and identify decimals to the hundredths place using number names, base ten numerals and expanded form.
  • 4.NF.C.10 — Understand that fractions and decimals are equivalent representations of the same quantity.
  • 4.NF.C.9 — Use decimal notation for fractions with denominators of 10 or 100.

Montana

  • 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.
  • 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).

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.2 — Fractions and Decimals: Students will extend understanding of fractions by equivalence and ordering and will develop an understanding of decimals.
  • 4.N.1.d — Use decimal notation for fractions with denominators of 10 or 100 (e.g., 43/100 = 0.43).

Nevada

  • 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 Hampshire

  • 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.
  • 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).

New Jersey

  • 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.
  • 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)

New Mexico

  • 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.
  • 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).

New York

  • NY-4.NF.6 — Use decimal notation for fractions with denominators 10 or 100.
  • NY-4.MD.2.b — Represent measurement quantities using diagrams that feature a measurement scale, such as number lines.

North Carolina

  • 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.
  • 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.

North Dakota

  • 5.NO.CC.1 — Read and write decimals to the thousandths including standard, word, and expanded forms.
  • 4.NO.NF.1 — Express equivalent fractions with a denominator of 10 and a denominator of 100 to generate a decimal notation.

Ohio

  • 4.NF.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.
  • 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).

Oklahoma

  • 4.N.3.6 — Represent tenths and hundredths with concrete and pictorial models, making connections between fractions and decimals.
  • 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.
  • 5.N.1.2 — Read, write, and represent decimals using place value to describe decimal numbers including fractional numbers as small as thousandths and whole numbers up to seven digits.

Oregon

  • 4.NF.C.6 — Use and interpret decimal notation for fractions with denominators 10 or 100.

Pennsylvania

  • CC.2.1.4.C.3 — Connect decimal notation to fractions, and compare decimal fractions (base 10 denominator, e.g., 19/100).

Rhode Island

  • 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.
  • 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).

South Carolina

  • 4.NSF.6 — Write a fraction with a denominator of 10 or 100 using decimal notation, and read and write a decimal number as a fraction.
  • 5.NSBT.3 — Read and write decimals in standard and expanded form. Compare two decimal numbers to the thousandths using the symbols >, =, or <.
  • 3.NSF.3 — Develop an understanding of mixed numbers (i.e., denominators 2, 3, 4, 6, 8, 10) as iterations of unit fractions on a number line.

South Dakota

  • 4.NF.C.6 — Read and write decimal notation for fractions with denominators 10 or 100. Locate these decimals on a number line.
  • 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).

Tennessee

  • 4.NF.C.6 — Read and write decimal notation for fractions with denominators 10 or 100. Locate these decimals on a number line.

Texas

  • 4.2H — determine the corresponding decimal to the tenths or hundredths place of a specified point on a number line.
  • 4.2E — represent decimals, including tenths and hundredths, using concrete and visual models and money;
  • 4.2G — relate decimals to fractions that name tenths and hundredths; and

Utah

  • 4.NF.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.
  • 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).
  • 4.MD.2.b — Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.

Vermont

  • 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.
  • 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).

Virginia

  • 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.
  • 4.NS.4 — The student will use mathematical reasoning and justification to represent, compare, and order decimals through thousandths, with and without models. Students will demonstrate the following Knowledge and Skills:

Washington

  • 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.
  • 5.NBT.A.3 — Read, write, and compare decimals to thousandths.

Washington, D.C.

  • 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.
  • 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).

West Virginia

  • 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).
  • 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.

Wisconsin

  • 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).
  • 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 < ).

Wyoming

  • 4.NF.H.6 — Use decimal notation for fractions with denominators 10 or 100.
  • 4.NF.H — Understand decimal notation for fractions, and compare decimal fractions.
  • 5.NBT.C.3.A — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.