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6th grade · Math · Unit 9 of 17

Integers & Decimals

Negatives, thousandths and rounding

What your child practices

Meeting negative numbers on a number line, comparing and ordering integers, decimals and fractions, working with thousandths, and rounding decimals.

Arizona Academic Standards learning standard: 6.NS.C.5; 6.NS.C.6; 6.NS.C.7 · positive and negative numbers on the number line, ordering and absolute value

How we explain it

Children can open this short lesson before they practice.

  1. Integers are whole numbers and their opposites: …, −2, −1, 0, 1, 2, ….
  2. On a number line, numbers to the right are greater.
  3. To compare decimals, line up the places and compare from the left.

Example: Which is greater, −3 or −7? On a number line, −3 is to the right of −7. Numbers further right are greater. Answer: −3

Integers & Decimals in Arizona

In the Arizona Academic Standards, this is unit 9 of 17 in 6th grade Math, after Volume & Capacity and before Algebra Moves.

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: Arizona Department of Education

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

    In 5.643, which place is the digit 4 in?

    • thousandths
    • tenths
    • hundredths

  2. Question 2

    Round 9.051 to the nearest whole number.

    • 10
    • 8
    • 9

  3. Question 3

    A diver is 25 m below sea level. Which integer shows this?

    • 25
    • −25
    • 0

  4. Question 4

    Tap the decimals from least to greatest.

    • 0.653
    • 0.402
    • 0.962
    • 0.524

  5. Question 5

    Tap the integers from least to greatest.

    • 1
    • 7
    • −3
    • 3

  6. Question 6

    Which integer belongs at the ? on the number line?

    -10-8-6-4-2026810?
    • −1
    • 8
    • 4

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