For example, rewrite $0.62$ as $62/100$ describe a length as $0.62$ meters locate $0.62$ on a number line diagram.Ĥ.NF.C.7. Use decimal notation for fractions with denominators 10 or 100. But addition and subtraction with unlike denominators in general is not a requirement at this grade. Students who can generate equivalent fractions can develop strategies for adding fractions with unlike denominators in general. 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. Understand decimal notation for fractions, and compare decimal fractions.Ĥ.NF.C.5. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?Ĥ.NF.C. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, use a visual fraction model to express $3 \times (2/5)$ as $6 \times (1/5)$, recognizing this product as $6/5$. Understand a multiple of $a/b$ as a multiple of $1/b$, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to represent $5/4$ as the product $5 \times (1/4)$, recording the conclusion by the equation $5/4 = 5 \times (1/4).$Ĥ.NF.B.4.b. Understand a fraction $a/b$ as a multiple of $1/b$. Extending Multiplication From Whole Numbers to FractionsĤ.NF.B.4.a.Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.Ĥ.NF.B.4. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.Ĥ.NF.B.3.d. Making 22 Seventeenths in Different WaysĤ.NF.B.3.c.Justify decompositions, e.g., by using a visual fraction model. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.Ĥ.NF.B.3.b. Writing a Mixed Number as an Equivalent FractionĤ.NF.B.3.a.Record the results of comparisons with symbols $>$, =, or $ 1$ as a sum of fractions $1/b$. Recognize that comparisons are valid only when the two fractions refer to the same whole. Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Explaining Fraction Equivalence with PicturesĤ.NF.A.2.Use this principle to recognize and generate equivalent fractions. Explain why a fraction $a/b$ is equivalent to a fraction $(n \times a)/(n \times b)$ by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Extend understanding of fraction equivalence and ordering.Ĥ.NF.A.1. Grade 4 - Number and Operations-FractionsĤ.NF.A. So 26-hundredths is the same thing as two-tenths plus six-hundredths. If you count it that's 10, 20-hundredths. So what is this right over here? This magenta or this pink arrow? Well we could say that's 20-hundredths. Adding one, two, three,įour, five, six-hundredths. So they say 26-hundredths, which is this thing right over here, is equal to star-tenths, which is really what'sīeing depicted in magenta, plus six-hundredths. So if you divide a tenth into tenths, each of these is going to be 100. One, two, three, four, five, six, seven, eight, nine, 10. Zero-tenth and one-tenth, they split into 10 equal sections. The same thing as zero, and it goes all the way to 26-hundredths. And they give us this number line and on this number line- Let's see, this is zero right over here, zero-tenths, which is The equation says 26-hundredths is equal to star-tenths plus six-hundredths. Have an example exercise from our Khan Academy exercises.
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