MA.4.FR.1.2 CC.2.1.4.C.3 M04.A-F.3.1.1 Math.4.NF.5 4.NF.C.5 Math.4.NF.6 4.NF.C.6 M04.A-F.3.1.2

Common Core Standards Decimal Fractions
Grade:	4th Grade
Standard:	MA.4.FR.1.2
Description:	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
Standard:	CC.2.1.4.C.3
Description:	Connect decimal notation to fractions, and compare decimal fractions (base 10 denominator, e.g., 19/100).
Standard:	M04.A-F.3.1.1
Description:	Add two fractions with respective denominators 10 and 100.
Standard:	Math.4.NF.5 or 4.NF.C.5
Description:	Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.
Standard:	Math.4.NF.6 or 4.NF.C.6
Description:	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.
Standard:	M04.A-F.3.1.2
Description:	Use decimal notation for fractions with denominators 10 or 100.

Decimal fractions are fractions whose denominators are a power of 10.

Equivalent decimal fractions can be found by multiplying by a fraction
equal to one with a power of 10 in its numerator and denominator.

Since 10 times 10 is 100, multiply

\frac{3}{10}

\frac{10}{10}

to find a fraction that is equivalent to

\frac{3}{10}

and has a denominator of 100.

\frac{3}{10} \times \frac{10}{10} = \frac{30}{100}

So,

\frac{3}{10}

is equivalent to

\frac{30}{100}

Common Core Standards

Decimal Fractions

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

CC.2.1.4.C.3

Connect decimal notation to fractions, and compare decimal fractions (base 10 denominator, e.g., 19/100).

M04.A-F.3.1.1

Add two fractions with respective denominators 10 and 100.

Math.4.NF.5 or 4.NF.C.5

Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.

Math.4.NF.6 or 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.

M04.A-F.3.1.2

Use decimal notation for fractions with denominators 10 or 100.

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