Question

use unit form to match each expression. 3·2 3·0.2 3·0.02 3·2 ones 3·2 hundredths 3·2 tenths

Explanation:

Step1: Analyze \( 3 \cdot 2 \)

The expression \( 3 \cdot 2 \) without a decimal is dealing with whole numbers, so the unit should be "ones". So \( 3 \cdot 2 \) matches \( 3 \cdot 2 \) ones.

Step2: Analyze \( 3 \cdot 0.2 \)

The number \( 0.2 \) is 2 tenths (since \( 0.1=\frac{1}{10} \), so \( 0.2 = 2\times\frac{1}{10}=2 \) tenths). So \( 3 \cdot 0.2=3 \cdot 2 \) tenths.

Step3: Analyze \( 3 \cdot 0.02 \)

The number \( 0.02 \) is 2 hundredths (since \( 0.01=\frac{1}{100} \), so \( 0.02 = 2\times\frac{1}{100}=2 \) hundredths). So \( 3 \cdot 0.02 = 3 \cdot 2 \) hundredths.

Answer:

• \( 3 \cdot 2 \) matches \( 3 \cdot 2 \) ones
• \( 3 \cdot 0.2 \) matches \( 3 \cdot 2 \) tenths
• \( 3 \cdot 0.02 \) matches \( 3 \cdot 2 \) hundredths