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4th grade · Math · Unit 17 of 17

Tenths & Hundredths

Write tenths as hundredths and add

What your child practices

Writing a fraction with 10 on the bottom as an equal fraction with 100 on the bottom (3/10 = 30/100), and using that to add tenths and hundredths.

New York State Learning Standards learning standard: NY-4.NF.5 · writing tenths as equivalent hundredths and adding fractions with denominators 10 and 100

How we explain it

Children can open this short lesson before they practice.

  1. One tenth is the same as ten hundredths: 1/10 = 10/100.
  2. To change tenths to hundredths, multiply the top and bottom by 10.
  3. To add tenths and hundredths, change the tenths to hundredths first.

Example: 3/10 + 25/100 = ? 3/10 = 30/100. 30/100 + 25/100 = 55/100. Answer: 55/100

Tenths & Hundredths in New York

In the New York State Learning Standards, this is unit 17 of 17 in 4th grade Math, after Measuring Angles.

Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.

Source: New York State Education Department (NYSED)

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    Which fraction is equal to 1/10?

    • 1/100
    • 10/100
    • 11/100
    • 10/10

  2. Question 2

    Which is greater: 1/10 or 50/100?

    • 1/10
    • they are equal
    • 50/100

  3. Question 3

    Which fraction is equal to 5/10?

    • 50/10
    • 15/100
    • 5/100
    • 50/100

  4. Question 4

    Kenji ran 2/10 of a mile, then 20/100 more. How much in all?

    • 22/110 of a mile
    • 40/100 of a mile
    • 50/100 of a mile
    • 22/100 of a mile

  5. Question 5

    Add: 5/10 + 29/100 = ?

    • 34/100
    • 89/100
    • 34/110
    • 79/100

  6. Question 6

    Add: 4/10 + 30/100 = ?

    • 80/100
    • 70/100
    • 34/100
    • 34/110

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