Decimal Operations Exploration Worksheet

MATH 15

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DECIMAL OPERATIONS EXPLORATION

1. Use base ten blocks to explore the idea of equivalence involving decimals.

a. Show that 2/5 and 0.4 represent the same number.

b. Show that 3/4 and 0.75 are equal.

c. Show that these three decimals are all equal:

0.1

0.10

0.100

d. Show that these two decimals represent the same number:

0.3

0.30

e. Explain how the first number in each case above can be changed into the second

number by multiplying by an appropriate form of 1 (i.e., a well-chosen fraction).

2. Use base ten blocks to explore addition and subtraction of decimals.

a. 2.78 + 1.34 =

b. 5.4 + 6.17 =

c. 0.92 – 0.35 =

d. 2 – 1.56 =

e. Why does “lining up the decimal places” work in the standard algorithm for adding or

subtracting decimals?

3. Use base ten blocks to explore multiplication and division of decimals by whole numbers.

a. 5 x 1.3 =

b. 2.67 x 3 =

c. 13.6

4 =

d. 2.57

2 =

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