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Cogito

Grade 5 Math · Chapter 5 · Lesson 4

Practice Worksheet

Judging an Answer with Benchmarks

Is it near 0, near a half, or near 1?

10 problems · about 14 minutes · 5.NF.A.2

NameDate

Figure — use these to answer the problems

Watch where each fraction sits: near 0, near a half, or near 1.
7/8
1/9
017/81/9

7/8 is greater than 1/9.

First top number7
First bottom number8
Second top number1
Second bottom number9
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Mixed Numbers with Regrouping”

    4 1/3 − 2 2/3. How many whole ones in the answer?

    Answer

  2. From “Adding Unlike Fractions”

    2/3 + 1/4, in twelfths. What is the top number?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. About how much is 8/9 + 1/10? Nearest whole number.

    Answer

  2. What are the three useful benchmarks?

    • 0, a half, and 1.
    • 1, 2, and 3.

  3. Is 1/12 nearest 0 or 1?

    • Near 0.
    • Near 1.

  4. Is 5/9 nearest 0, a half, or 1?

    • Near a half.
    • Near 1.

Build It Up

The same ideas with more to keep track of.

2 problems

  1. About how much is 7/8 + 6/7? Nearest whole number.

    Answer

  2. Could 1/2 + 1/3 be 2/5?

    • No. It must be more than a half.
    • Yes.

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

2 problems

  1. Near What?

    Is 9/10 nearest to 0, 1/2, or 1?

    • Near 1.
    • Near a half.
    • Near 0.

  2. The Estimate

    About how much is 4/9 + 5/11? Nearest whole number.

    Answer