Place Value
In the number 4,582, what is the place of the digit 5?
Hundreds place.
Write 4,326 in expanded form.
4,000 + 300 + 20 + 6 or
(4x1,000)+(3x100)+(2x10)+(1x6)
Name the property:
8 + 0 = 8
Identity Property of Addition.
Round 347 to the nearest hundred.
300.
3,452 + 2,117 = ?
5,569
What is the value of the digit 7 in 3,742,615?
700,000.
What number is represented by:
(7x1,000,000) + (4x100,000) + (2x10,000) + (9x100) + (5x1)?
7,420,905.
Name the property:
7 + 12 = 12 + 7
Commutative Property of Addition.
Round 6,749 to the nearest thousand.
7,000.
8,750 − 3,420 = ?
5,330
Which digit is in the ten-millions place in 284,391,605?
8.
What is 10³?
1,000.
Name the property:
(4 + 6) + 9 = 4 + (6 + 9)
Associative Property of Addition.
Estimate by rounding to the nearest hundred:
487 + 324
500 + 300 = 800
48,376 + 27,589 = ?
75,965
In 5,555,555, how many times greater is the value of the 5 in the hundred-thousands place than the 5 in the ten-thousands place?
10 times greater.
Write 5,304,020 using multiplication and powers of 10.
5 × 10⁶ + 3 × 10⁵ + 4 × 10³ + 2 × 10¹
(or equivalent expanded notation)
True or False:
15 − 6 = 6 − 15 because subtraction is commutative.
False. Subtraction is not commutative.
Estimate by rounding to the nearest thousand:
8,291 − 3,746
8,000 − 4,000 = 4,000
90,000 − 47,638 = ?
42,362
A number has 6 in the billions place, 3 in the millions place, 8 in the thousands place, and 4 in the ones place. All other digits are zero. What is the number?
6,003,008,004
A digit moves three places to the left in a whole number. Its value becomes how many times greater?
1,000 times greater.
Without calculating both sides, explain why these expressions have the same value:
248 + 175 + 52
248 + 52 + 175
The Commutative Property of Addition allows the addends to change order.
A stadium had 47,892 people on Saturday and 32,417 people on Sunday. Estimate the total attendance by rounding each number to the nearest ten thousand.
50,000 + 30,000 = 80,000
The school raised $38,475 during the fall fundraiser and $26,789 during the spring fundraiser. It spent $12,650 on new materials.
How much money remained?
38,475 + 26,789 = 65,264
65,264 − 12,650 = $52,614