SME
Grade 4 Math · Problem type
Fractions and decimals on the number line
Use this for “The line from 0 to 1 is cut into hundredths. What decimal is the point 62 parts along?”
Diagram
0.62: 62 hundredths from 0.
This is an example. Type your own values to start a new problem.
Parts from 0
Parts from 0 to 1
=
As a decimal
Whole before the point
worked out (not typed)
Formulas
62
100
=
0.62
Parts from 0, written as a decimal = as a decimal
full
wholes
in
62
100
:
0
Full wholes before the point = whole before the point
Assumptions
•
Cut the line from 0 to 1 into 10 equal parts for tenths, or 100 for hundredths.
•
Count the parts from 0: 62 hundredths from 0 is 0.62, and 26 tenths is 2.6.
•
7 tenths and 70 hundredths are the same point.
•
The line starts at the whole before the point: 2.6 is 6 tenths past 2.
Step-by-step
WE KNOW
Parts from 0 to 1: 100
Parts from 0: 62
FIND
as a decimal, whole before the point
Step 1 · Find as a decimal
62
100
=
?
Parts from 0, written as a decimal = as a decimal
Hundredths: two places after the point.
62 hundredths = 0.62
As a decimal = 0.62
Step 2 · Find whole before the point
full
wholes
in
62
100
:
?
Full wholes before the point = whole before the point
Every full set of parts is 1 whole: the line starts at the whole before the point.
62 is less than 100, so the point is before 1.
Whole before the point = 0
Check
Put the numbers back in. Both sides should match.
62
100
=
0.62
✓
full
wholes
in
62
100
:
0
✓
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Fractions and decimals: tenths and hundredths
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