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6th grade · Math · Unit 10 of 21

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.

New York State Learning Standards learning standard: NY-6.NS.5; NY-6.NS.6; NY-6.NS.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 New York

In the New York State Learning Standards, this is unit 10 of 21 in 6th grade Math, after Probability 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: 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

    Tap the decimals from least to greatest.

    • 0.658
    • 0.990
    • 0.967
    • 0.402

  2. Question 2

    In 4.586, which place is the digit 5 in?

    • hundredths
    • thousandths
    • tenths

  3. Question 3

    Which integer belongs at the ? on the number line?

    -10-8-6-4-20246810?
    • −6
    • −5
    • 8

  4. Question 4

    Which is greater, 7 or 10?

    • 10
    • 7

  5. Question 5

    A bank account is overdrawn by $23. Which integer shows this?

    • −23
    • −24
    • 23

  6. Question 6

    1/6 as a decimal is 0.1666… Round it to the nearest hundredth.

    • 0.16
    • 0.17
    • 0.2

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