Place Value
Rounding
Compensation
Front-End Estimation
Solving for Variables
100

How many digits are in this number? 57,326

Five

100

How do we know whether to round up or leave it the same?  What is the rule?

If it is 5 or more let it soar, four or less let it rest

100

What is the rule to use compensation what solving addition equations? 

"Whatever you do to the top, you do the opposite to the bottom."

100

After adding the front digits, what is the next step immediately after?

Fill in the remaining spaces with zeros

100

What is a variable?

A letter used to represent an unknown amount

200

In the number 57,326 which digit is in the hundreds place?

3

200

True or false: 152 rounded to the nearest hundred is 200. 

True, because the 5 in the tens place tells us we need to round up to 200. 

200

True or false: Compensation does not work with subtraction.  Feel free to try an example to see.

True

200

After adding the front digits and filling in the remaining spaces, is this the rough estimate or the adjusted estimate?

This is the rough estimate.  We need to round the other digits to adjust, or get a more precise estimate. 

200

If I am solving for how many eggs I need to use in the recipe, what variable could I use to represent this unknown amount?

E for eggs

300

What is the value of the number 7 in 57,326?

7,000

300

What is 12,839 rounded to the nearest thousand?

13,000

300

Use compensation to solve this equation. 34+41=?

30+45=75

300
True or false: Unlike compensation, front-end estimation will give you an approximate (estimated) answer.

True

300

Find the value of y in this equation. y+4=20

y=16

400

What is the difference between place and value? 

Place includes hundreds, tens, and ones. Value is what the number represents (300...)

400

Write this equation.  Then estimate the sum by rounding each number. 1,462 + 783 = ? You can round to any place.

Thousands: 1,000+1,000=2,000

Hundreds: 1,500+800=2,300

Tens:1,460+780=2,240

400

Use compensation to solve this equation. 152+68=?

150+70=220

400

Use front-end estimation to solve this equation. 4,362+8,254+1,275=?

I will check your work. 

400

Find the value of x in this equation. 16-x=11

x=5

500

Write 57,326 in expanded form.

50,000+7,000+300+20+6

500

Write this equation.  Then estimate the difference by rounding each number. 1,462 - 783 = ? You can round to any place.

Thousands: 1,000-1,000=0

Hundreds: 1,500-800=700

Tens: 1,460-780=680

500

Use compensation to solve this equation. 356+427=?

360+423=783

500

Use front-end estimation to solve this equation. 6,843+2,471+2,394=?

I will check your work.

500

What is the difference between an equation and an expression? (Hint: An expression is missing something.)

An expression does not have an equals sign, while an equation does.