Place Value
In the number 483,726, what is the value of the 8?
80,000
Repeated Multiplication
Write 10 × 10 × 10 as a power of 10.
103
What happens to 4,582 when it is multiplied by 10?
Write the new number and explain what changed.
45,820
Use Box Model to solve 324 × 6
324 × 6 = 1,944
A library has 2,345 fiction books and 1,624 nonfiction books. How many books are there in total?
2,345 + 1,624 = 3,969
Write 705,419 in expanded form.
700,000 + 5,000 + 400 + 10 + 9
What is the value of 10³?
Explain how you know without using place value names (1 or more sentences).
It means 10 × 10 × 10, which equals 1,000.
326 × 100 = ______
Explain how the digits change.
32,600
Each digit shifts two places to the left.
Standard Algorithm (2-digit × 1-digit)
487 × 5
487 x 5 = 2,435
A school printed 8,764 flyers. They gave away 3,452 flyers. How many flyers are left?
8,764 − 3,452 = 5,312
Which number is greater and how do you know? 602,145 or 620,145
620,145
Which is greater: 10⁴ or 10³?
How many times greater?
10⁴ > 10³
It is 10 times greater.
What is 8,470 ÷ 10?
Explain what happens to each digit.
847
Each digit shifts one place to the right.
Standard Algorithm (2-digit × 2-digit)
34 × 27
34 × 27 = 918
A student buys a notebook for $3.45 and a pen for $2.80. How much does the student spend in total?
3.45 + 2.80 = $6.25
True or False: The 7 in 7,352 is 10 times the value of the 7 in 735.
Explain your thinking (1 sentence)
True 700 x 10= 7,000.
True or False: 10² = 10 × 2
Explain your reasoning.
False.
10² means 10 × 10, not 10 × 2.
True or False: When a number is multiplied by 10, each digit shifts one place to the left. Explain your reasoning.
True
A school orders 48 boxes of pencils. Each box has 36 pencils. How many pencils are ordered?
48 × 36 = 1,728 pencils
A teacher has 3,648 stickers and gives 6 stickers to each student. How many students can receive stickers?
3,648 ÷ 6 = 608 students
Start with 4,639.
What is the value when the number is multiplied by 10?
What changes? What stays the same?
4,639 × 10 = 46,390
Each digit moves one place to the left
The value of the number becomes 10 times larger
Fill in the pattern:
10¹ = 10
10² = ___
10³ = ___
10⁴ = ___
What pattern do you notice (1 sentence)?
10¹ = 10
10² = 100
10³ = 1,000
10⁴ =10,000
Which number is greater:
3,245 × 10 or 3,245 × 100?
How do you know?
3,245 × 10 = 32,450
3,245 × 100 = 324,500
3,245 × 100 is greater because the digits shift two places instead of one.
A student says:
62 × 4 = 248
Is the student correct?
Explanation:
60 × 4 = 240
2 × 4 = 8
240 + 8 = 248
A warehouse had 5,002 boxes. After shipping 2,789 boxes, how many boxes remain?
5,002 − 2,789 = 2,213