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The Language of Math
Number Families
Place Value
Number Forms
What Am I?
100

Twenty increased by 148.

20 + 148 = 168

100

Classify −8 using every number system it belongs to.

Integer → Rational → Real

100

In 45,672, what is the value of the 6?

600

100

Write 305,018.406 in word form.

Three hundred five thousand eighteen and four hundred six thousandths

100

I am any whole number greater than 0.
I have no decimal part.
I can be counted.


What am I?

 A natural/counting number

200

Thirty-six less than 125

125 − 36 = 89

200

Classify 0.75 using every number system it belongs to. Then explain why.

Rational → Real

Because:

0.75 = 75/100 = 3/4

200

In 8,493.27, what place is the 2 in?

Tenths place

200

Write 5,307 in expanded form.

5,000 + 300 + 7

200

I can be positive, negative, or zero.
I do not contain a fraction or decimal.

What am I?


An integer

300

The sum of 48 and 27 is multiplied by 6. What is the result?

(48 + 27) × 6
= 75 × 6
= 450

300

Name ALL the number families that contain:

0


Whole number, integer, rational number, real number

300

I am thinking of a number.

  • The 7 is in the thousands place.
  • The 4 is worth 0.04.
  • The 9 is in the tenths place.
  • The 3 is in the ones place.
  • The 6 is in the hundredths place.

What is my number?

7,603.94

300

Write this number in word form:

4,206.35


Four thousand two hundred six and thirty-five hundredths

300

I cannot be written as a fraction of two integers.
My decimal goes on forever without repeating.

What am I?

An irrational number

400

Take 18 away from 5 times 24.

5 × 24 − 18
= 120 − 18
= 102

400

Classify √49 using every number system it belongs to.

√49 = 7

So:

Natural → Whole → Integer → Rational → Real

400


700 is 1/10 of _____.


7,000

400

Write this number in expanded form:

63.482


60 + 3 + 0.4 + 0.08 + 0.002

400

I can be written as a fraction of two integers.
My decimal either terminates or repeats.

What am I?


A rational number

500

Double the difference between 96 and 38, then add 17.

2(96 − 38) + 17
= 2(58) + 17
= 116 + 17
= 133

500

Why isn't π rational?

It cannot be written as a fraction of two integers, and its decimal does not terminate or repeat.

500

60 is 10 times as great as _____.

6

500


Which number is represented by:

9 × 10,000 + 4 × 100 + 7 × 10 + 3 + 5/10 + 2/100



90,473.52


500

I am −3.75.

Name every number family I belong to.


Rational, Real

Bonus: Why isn't −3.75 an integer?