Answer:

Step-by-step explanation:

Decimals in Expanded Form

A decimal can be written in expanded form.

For example:

45.23 = 40 + 5 + 0.2 + 0.03

or

45.23 = (4 × 10) + (5 × 1) + (2 × 0.1) + (3 × 0.01).

50.302 = 50 + 0.3 + 0.002

or

50.302 = (5 × 10) + (3 × 0.1) + (2 × 0.001).

Decimals - Expanded Form

Reading/writing decimals in numeric, word, and expanded form

Examples:

1. Write in expanded form:

a. 9.45

b. 0.21

c. 8.878

d. 0.3911

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Compare Decimals

We can compare decimals using place value. For example:

0.02 < 0.2 because 0 tenths is less than 2 tenths

0.021 > 0.01 because 2 hundredths is greater that 1 hundredths

We can compare decimals using a benchmark number. For example:

0.021 < 0.2 because 0.021 is less than 0.1 and 0.2 is greater than 0.1

0.8 > 0.423 because 0.8 is more than half and 0.423 is less than half.

We can compare using equivalent decimals with same number of digits. For example:

0.34 > 0.3 because 0.34 > 0.30 (34 hundredths > 30 hundredths)

8.302 < 8.32 because 8.302 < 8.320 (302 thousandths < 320 thousandths)

Ordering & Comparing Decimals.