Worked Example 1
Tenths to Hundredths
Write 310 as a fraction with a denominator of 100.
- 1Each tenth is split into 10 hundredths.
- 2So 3 tenths is 3 × 10 = 30 hundredths.
Answer: 310 = 30100
Florida Grade 4 Math · Fractions
MA.4.FR.1.1: Tenths as Hundredths
What this Grade 4 benchmark means, worked examples, common mistakes, and a free printable worksheet.
Created by a Florida mom · Published by Tropical Learning LLC
What Is Benchmark MA.4.FR.1.1?
Students show that a fraction with a denominator of 10 is equivalent to a fraction with a denominator of 100. For example, 310 = 30100, because each tenth is 10 hundredths.
This works for fractions greater than one and mixed numbers too: 2710 = 270100.
Official benchmarkModel and express a fraction, including mixed numbers and fractions greater than one, with the denominator 10 as an equivalent fraction with the denominator 100.
On the FAST test: part of the Grade 4 reporting category Number Sense and Operations with Fractions and Decimals, which is about 31–37% of the test.
Worked Examples
Worked Example 2
A Mixed Number
Write 2710 with hundredths.
- 1The whole number 2 stays the same.
- 27 tenths is 70 hundredths.
Answer: 2710 = 270100
Common Mistakes to Watch For
Changing only the denominator
Wrong:310 = 3100
Multiply the numerator and denominator by 10: 310 = 30100.
Changing the whole number in a mixed number
Wrong:2710 = 2070100
Only the fraction part changes: 2710 = 270100.
Helpful Math Tip
Use a 10-by-10 grid: shade 3 columns (3 tenths) and count the small squares (30 hundredths).
Related Grade 4 Skills
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