Learn on PengiSaxon Math, Intermediate 4Chapter 3: Lessons 21–30, Investigation 3

Lesson 29: Multiplication Facts: 0s, 1s, 2s, 5s

In this Grade 4 lesson from Saxon Math Intermediate 4, students begin memorizing multiplication facts for the factors 0, 1, 2, and 5, learning key rules such as zero times any number equals zero, one times any number equals the number itself, two times any number doubles it, and multiples of 5 always end in zero or five. Students practice applying the Zero Property and Identity Property of multiplication while solving related problems and equations.

Section 1

📘 Multiplication Facts: 0s, 1s, 2s, 5s

New Concept

Zero times any number equals zero.

What’s next

Next, you'll use these foundational rules to master the multiplication facts for 0, 1, 2, and 5, building speed and accuracy.

Section 2

Zero times any number

Property

Zero times any number equals zero.

Examples

0×8=00 \times 8 = 0
1,000,000×0=01,000,000 \times 0 = 0
0×13=00 \times 13 = 0

Explanation

Think of multiplying as having groups of something. If you have 8 groups of 0 items, you have nothing! Zero has the superpower to make any number it multiplies disappear into, well, zero! It's the ultimate magic trick where the number vanishes every single time.

Section 3

One times any number

Property

One times any number equals the number.

Examples

1×9=91 \times 9 = 9
123×1=123123 \times 1 = 123
1×15=151 \times 15 = 15

Explanation

Multiplying by one is like a number looking in a mirror. It sees itself and stays exactly the same. One group of seven is just seven. That’s why it’s called the identity property, because the number always keeps its original identity! How cool is that?

Section 4

Two times any number

Property

Two times any number doubles the number.

Examples

2×7=142 \times 7 = 14
2×11=222 \times 11 = 22
8×2=168 \times 2 = 16

Explanation

Multiplying by two is just a cool shortcut for doubling! You are simply adding the number to itself. So, 2×62 \times 6 is the same as 6+66+6. It’s like instantly creating a twin for any number you are working with. Twice the fun!

Book overview

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Chapter 3: Lessons 21–30, Investigation 3

  1. Lesson 1

    Lesson 21: Triangles, Rectangles, Squares, and Circles, Activity Drawing a Circle

  2. Lesson 2

    Lesson 22: Naming Fractions, Adding Dollars and Cents, Activity Counting Money

  3. Lesson 3

    Lesson 23: Lines, Segments, Rays, and Angles, Activity Real-World Segments and Angles

  4. Lesson 4

    Lesson 24: Inverse Operations

  5. Lesson 5

    Lesson 25: Subtraction Word Problems

  6. Lesson 6

    Lesson 26: Drawing Pictures of Fractions

  7. Lesson 7

    Lesson 27: Multiplication as Repeated Addition, More Elapsed Time Problems, Activity Finding Time

  8. Lesson 8

    Lesson 28: Multiplication Table

  9. Lesson 9Current

    Lesson 29: Multiplication Facts: 0s, 1s, 2s, 5s

  10. Lesson 10

    Lesson 30: Subtracting Three-Digit Numbers with Regrouping, Activity Subtracting Money

  11. Lesson 11

    Investigation 3: Multiplication Patterns, Area, Squares and Square Roots, Activity 1 Finding Perimeter and Area, Activity 2 Estimating Perimeter and Area

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

📘 Multiplication Facts: 0s, 1s, 2s, 5s

New Concept

Zero times any number equals zero.

What’s next

Next, you'll use these foundational rules to master the multiplication facts for 0, 1, 2, and 5, building speed and accuracy.

Section 2

Zero times any number

Property

Zero times any number equals zero.

Examples

0×8=00 \times 8 = 0
1,000,000×0=01,000,000 \times 0 = 0
0×13=00 \times 13 = 0

Explanation

Think of multiplying as having groups of something. If you have 8 groups of 0 items, you have nothing! Zero has the superpower to make any number it multiplies disappear into, well, zero! It's the ultimate magic trick where the number vanishes every single time.

Section 3

One times any number

Property

One times any number equals the number.

Examples

1×9=91 \times 9 = 9
123×1=123123 \times 1 = 123
1×15=151 \times 15 = 15

Explanation

Multiplying by one is like a number looking in a mirror. It sees itself and stays exactly the same. One group of seven is just seven. That’s why it’s called the identity property, because the number always keeps its original identity! How cool is that?

Section 4

Two times any number

Property

Two times any number doubles the number.

Examples

2×7=142 \times 7 = 14
2×11=222 \times 11 = 22
8×2=168 \times 2 = 16

Explanation

Multiplying by two is just a cool shortcut for doubling! You are simply adding the number to itself. So, 2×62 \times 6 is the same as 6+66+6. It’s like instantly creating a twin for any number you are working with. Twice the fun!

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 3: Lessons 21–30, Investigation 3

  1. Lesson 1

    Lesson 21: Triangles, Rectangles, Squares, and Circles, Activity Drawing a Circle

  2. Lesson 2

    Lesson 22: Naming Fractions, Adding Dollars and Cents, Activity Counting Money

  3. Lesson 3

    Lesson 23: Lines, Segments, Rays, and Angles, Activity Real-World Segments and Angles

  4. Lesson 4

    Lesson 24: Inverse Operations

  5. Lesson 5

    Lesson 25: Subtraction Word Problems

  6. Lesson 6

    Lesson 26: Drawing Pictures of Fractions

  7. Lesson 7

    Lesson 27: Multiplication as Repeated Addition, More Elapsed Time Problems, Activity Finding Time

  8. Lesson 8

    Lesson 28: Multiplication Table

  9. Lesson 9Current

    Lesson 29: Multiplication Facts: 0s, 1s, 2s, 5s

  10. Lesson 10

    Lesson 30: Subtracting Three-Digit Numbers with Regrouping, Activity Subtracting Money

  11. Lesson 11

    Investigation 3: Multiplication Patterns, Area, Squares and Square Roots, Activity 1 Finding Perimeter and Area, Activity 2 Estimating Perimeter and Area