Back to Exercise: Compare two decimals to hundredths by reasoning about their size

Exercises: Comparing Decimals

Work through each section in order. Be ready to justify each comparison using place
value, a grid, or a number line.

Grade 4·21 problems·~30 min·Common Core Math - Grade 4·standard·4-nf-c-7

Work through problems with immediate feedback

Recall / Warm-Up

Which is greater, 47 or 63?

63 — compare the tens digit first: 4 tens vs. 6 tens, and $4 < 6$

47 — compare the ones digit first: 7 vs. 3, and $7 > 3$

They are equal

In the decimal 0.47, what digit is in the hundredths place?

Compare $\frac{3}{10}$ and $\frac{7}{10}$ . Which is greater?

$\frac{7}{10}$

$\frac{3}{10}$

They are equal

Fluency Practice

Compare 0.47 and 0.63 by their tenths digit. The tenths digit of 0.47 is ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ and of 0.63 is ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ . So 0.47 ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ 0.63 (use <, >, or =).

tenths of 0.47:

tenths of 0.63:

comparison symbol:

Compare 0.35 and 0.38. The tenths digits are equal (both 3), so compare hundredths: ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ vs. ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ . So 0.35 ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ 0.38 (use <, >, or =).

hundredths of 0.35:

hundredths of 0.38:

comparison symbol:

Compare 1.24 and 0.89. Which is greater?

1.24

0.89

They are equal

Compare: 0.52 ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ 0.58 (use <, >, or =).

comparison symbol:

Compare: 0.8 ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ 0.75 (use <, >, or =).

comparison symbol:

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