SME
Grade 4 Math · Fractions
Fractions and decimals: tenths and hundredths
Use this for “Write 2 34/100 as a decimal.”
Diagram
1 whole
1 whole
Hundredths past the ones
2 whole grids and 34 of 100 squares shaded
This is an example. Type your own values to start a new problem.
Ones
+
Tenths digit
10
+
Hundredths digit
100
=
As a decimal
Hundredths past the ones
calculated
Formulas
3
10
+
4
100
=
34
100
Tenths digit × 10 + hundredths digit = hundredths past the ones
34 hundredths has 3 full tenths
Full tenths in the hundredths = tenths digit
2
+
34
100
=
2.34
Ones and hundredths, written as a decimal = as a decimal
Assumptions
•
A tenth is 10 hundredths: 3/10 = 30/100. The grid has 100 squares, so each square is a hundredth.
•
Hundredths are written as a decimal: 34/100 = 0.34. The first place after the point is tenths, the second is hundredths.
•
A number past 1 has ones before the point: 45.06 is 45 ones and 6 hundredths.
Step-by-step
WE KNOW
Ones: 2
Tenths digit: 3
Hundredths digit: 4
FIND
hundredths past the ones, as a decimal
Step 1 · Find hundredths past the ones
3
10
+
4
100
=
?
100
Tenths digit × 10 + hundredths digit = hundredths past the ones
Each tenth is 10 hundredths. Add the extra hundredths.
Hundredths past the ones = 10 × 3 + 4
10 × 3 = 30
30 + 4 = 34
Hundredths past the ones = 34
Step 2 · Find as a decimal
2
+
34
100
=
?
Ones and hundredths, written as a decimal = as a decimal
The ones go before the point. The tenths digit, then the hundredths digit, after it.
2 ones and 34 hundredths = 2.34
As a decimal = 2.34
Check
Put the numbers back in. Both sides should match.
10 × 3 + 4 = 34 ✓
34 hundredths has 3 full tenths ✓
2
+
34
100
=
2.34
✓
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