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Cogito

Grade 4 Math · Chapter 6 · Lesson 3

Practice Worksheet

Why 0.7 and 0.70 Are Equal

More digits does not mean more.

10 problems · about 15 minutes · 4.NF.C.5

NameDate

Figure — use these to answer the problems

Shade 70 hundredths on one and 7 tenths on the other. Compare.

70/100 = 0.70 = 0.7

70/100 = 0.70 = 0.7

0.00.10.20.30.40.50.60.70.80.91.0
First value in hundredths70
Second value in hundredths70
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Hundredths”

    How many hundredths are in 0.09?

    Answer

  2. From “Tenths”

    How many tenths are in 0.8?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. 0.2 in hundredths. How many?

    Answer

  2. Why is 0.70 not bigger than 0.7?

    • They cover the same squares.
    • Because 70 is bigger than 7.

  3. 0.6 in hundredths. How many?

    Answer

  4. Is 0.50 equal to 0.5?

    • Yes. Same squares.
    • No.

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Which is bigger, 0.8 or 0.75?

    • 0.8.
    • 0.75.

  2. 0.9 in hundredths. How many?

    Answer

Stretch Yourself

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

2 problems

  1. The Same Amount

    0.4 written in hundredths. How many hundredths?

    Answerhundredths

  2. The Comparison

    Which is bigger, 0.3 or 0.25?

    • 0.3.
    • 0.25.