Number line — Grade 6 Math, what it means and where it is taught

A line with numbers increasing to the right.

Taught in Grade 6 Math.

Where it is taught

What uses it later

This idea is needed for:

Practise this idea

6 questions in the course bank use Number line, in Solving Inequalities, Definitions, Postulates & Reasoning, Integers & Absolute Value, Statistical Questions & Distributions.

Problem 1

On a number line, which dot do you use for x > 5?

  1. A closed (filled) dot
  2. An open (hollow) dot
Worked answer

An open (hollow) dot

x > 5 does not include 5 itself, so the dot is open.

Problem 2

M is the midpoint of AB. A is at -4 and M is at 3 on a number line. Where is B?

Worked answer

10

M - A = 3 - (-4) = 7

B = 3 + 7 = 10

Problem 3

Which is smaller, -8 or -3?

  1. -8
  2. -3
  3. They are equal
  4. Cannot tell
Worked answer

-8

-8 sits further left on the number line

Problem 4

Put -4, 2, -7, 0 in order, smallest first, separated by commas.

Worked answer

-7,-4,0,2

Left to right: -7, -4, 0, 2

Problem 5

Which statement is true?

  1. -5 < -2
  2. -5 > -2
  3. |-5| < |-2|
  4. -5 = 5
Worked answer

-5 < -2

-5 is further left, so smaller

But |-5| = 5 is the larger distance

Problem 6

Histogram bars touch each other because

  1. the intervals run into each other
  2. they are easier to draw
  3. it looks neater
  4. the bars are equal
Worked answer

the intervals run into each other

A number line, not separate categories

Elsewhere

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