Expanded Notation Worksheet
Math Practice Place Value Mastery
Expanded Notation Worksheet
Score
/ 10
Name:
Date:
Class:
Reference:
Hundred Thousands (×100,000) Ten Thousands (×10,000) Thousands (×1,000) Hundreds (×100) Tens (×10) Ones (×1)
1
The expanded notation of a number is shown below.
(7 × 100,000) + (4 × 10,000) + (6 × 100) + (8 × 1)
Which number is written in this expanded notation?
A 74,608
B 740,680
C 740,608
D 704,608
2
A number is written in expanded notation with its place values in mixed order.
(5 × 1,000) + (8 × 10) + (2 × 10,000) + (9 × 1)
What is this number written in standard form?
A 58,290
B 25,890
C 25,089
D 25,809
3
The attendance at a county fair on Saturday was fourteen thousand, seventy-five people.
Which expression shows the number 14,075 written in expanded notation?
A (1×10,000) + (4×1,000) + (7×100) + (5×10)
B (1×10,000) + (4×1,000) + (7×10) + (5×1)
C (1×14,000) + (7×10) + (5×1)
D (1×1,000) + (4×100) + (7×10) + (5×1)
4
An equation with a missing factor in expanded notation is shown below.
(6 × 10,000) + (? × 1,000) + (3 × 100) + (4 × 1) = 68,304
Which number belongs in the blank space to make the equation true?
A 8
B 80
C 800
D 8,000
Expanded Notation Worksheet • Page 1 of 2 Turn page for Part 2 →
Part 2
Decimals, Error Analysis & Tasks
Expanded Notation Worksheet
Standards: 4.NBT.A.2 / 5.NBT.A.3
Decimal Reminders:
Tens = (d × 10) Ones = (d × 1) Tenths = (d × 0.1) Hundredths = (d × 0.01)
5
The expanded notation of a decimal number is shown below.
(9 × 100) + (4 × 10) + (2 × 1) + (7 × 0.1) + (5 × 0.01)
Which number does this expression represent?
A 942.75
B 942.075
C 94.275
D 942.57
6
A science teacher measured the mass of a mineral specimen as 50.38 grams.
Which expression correctly shows 50.38 written in expanded notation?
A (5 × 10) + (3 × 1) + (8 × 0.1)
B (5 × 100) + (3 × 0.1) + (8 × 0.01)
C (5 × 10) + (3 × 0.1) + (8 × 0.01)
D (5 × 10) + (3 × 0.01) + (8 × 0.001)
7
Taylor attempted to write the expanded notation for the number 308,040 as shown below:
(3 × 100,000) + (8 × 10,000) + (4 × 100)
Which statement correctly describes Taylor's error?
A Taylor multiplied 8 by 10,000 instead of 1,000 and 4 by 100 instead of 10.
B Taylor forgot to include terms for each of the zeros in the number.
C Taylor should have multiplied 3 by 10,000 instead of 100,000.
D Taylor wrote the expanded notation correctly; there are no mistakes.
8
Expanded Notation Performance Task
Part A: Determine the standard form of the number represented by the expression:
(4 × 10,000) + (6 × 100) + (9 × 10) + (3 × 0.1) + (8 × 0.01)
Standard Form:
Part B: Fill in the digits of the number 502,740 in the chart, then write its complete expanded notation.
| Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Ones |
|---|
| | | | | |
Expanded Notation:
Expanded Notation Worksheet • Page 2 of 2 Completed Worksheet
Multiplication Word Problems Worksheet
Math Practice Multi-Digit Multiplication
Multiplication Word Problems Worksheet
Score
/ 10
Name:
Date:
Class:
Strategy:
1. Identify groups & items 2. Set up algorithm or area model 3. Multiply & add regrouped values
1
A public library received a delivery of 8 identical crates of books. Each crate contained exactly 345 books.
What is the total number of books delivered to the library?
A 2,460
B 2,760
C 2,720
D 3,458
Calculation Space
2
A school auditorium has 28 rows of seats. There are 36 seats in each row.
How many total seats are in the auditorium?
A 252
B 888
C 1,008
D 1,080
Calculation Space
3
A technology distributor ships 40 boxes of tablet accessories each day. Each box contains 125 screen protectors.
How many screen protectors are shipped in one day?
A 5,000
B 4,800
C 50,000
D 165
Calculation Space
4
A delivery van drove 364 miles during week 1. In week 2, the van was driven 4 times as many miles as week 1.
How many miles did the van drive in week 2?
A 1,246
B 1,446
C 1,456
D 1,416
Calculation Space
Multiplication Word Problems • Page 1 of 2 Turn page for Part 2 →
Part 2
Area Models, Multi-Step & Tasks
Multiplication Word Problems Worksheet
Standards: 4.OA.A.3 / 4.NBT.B.5
Key Concept:
Partial Products: (30 + 4) × (20 + 6) = 600 + 180 + 80 + 24 = 884
5
A garden manager planned a rectangular floral bed measuring 34 feet by 26 feet. The area model below models the partial products.
×
30
4
20
600
80
6
180
24
Which expression shows the sum of the partial products to find the total area?
A 600 + 80 + 180 + 24 = 884 sq ft
B 600 + 80 + 180 = 860 sq ft
C 60 + 8 + 18 + 24 = 110 sq ft
D 600 + 24 = 624 sq ft
Regrouping Mastery Worksheet
Math Fluency Operations & Place Value
Regrouping Mastery Worksheet
Score
/ 10
Name:
Date:
Class:
Addition Steps:
1. Add ones: if 10 or more, regroup 1 ten to the box 2. Add tens (including the regrouped ten)
Part 1: 2-Digit Addition (Show Regrouping)
Use the dashed box for regrouped tens
1
O
4 7
3 8
2
O
5 6
2 9
3
O
6 4
2 7
4
O
3 9
4 5
5
O
7 8
1 6
6
O
5 3
3 9
Part 2: Real-World Word Problems
7
The school garden club picked 48 red tomatoes on Friday and 37 yellow tomatoes on Saturday. How many total tomatoes did the club harvest?
Answer: tomatoes in all
Work Space
8
During a weekend basketball tournament, Maya scored 26 points during Game 1 and 35 points during Game 2. What was Maya's total point score for both games?
Answer: points scored
Work Space
Regrouping Mastery Worksheet • Page 1 of 2 (Addition) Turn page for Subtraction →
Part 2
2-Digit Subtraction with Regrouping
Regrouping Mastery Worksheet
Standards: 2.NBT.B.5 / 3.NBT.A.2
Subtraction Steps:
1. Check ones: more on the floor? Go next door & take 1 ten 2. Cross out & rename digits, then subtract
Part 1: 2-Digit Subtraction (Unbundle & Rename)
Use the boxes to write your new tens and ones
9
7 2
-
3 8
10
8 1
-
4 5
11
6 5
-
2 9
12
9 4
-
5 7
13
5 0
