Question

6 4 × 60 = ?
basic fact: ____ × __ = ____
4 × 60 = ______
8 6 × 300 = ?
basic fact: ____ × __ = ____
6 × 300 = ______
10 8 × 4,000 = ?
basic fact: ____ × __ = ____
8 × 4,000 = ______

Explanation:

Problem 6:

Step1: Identify basic fact

The basic multiplication fact for \(4\times60\) is \(4\times6 = 24\).

Step2: Multiply by 10 (since 60 = 6×10)

\(4\times60=4\times(6\times10)=(4\times6)\times10 = 24\times10=240\).

Problem 8:

Step1: Identify basic fact

The basic multiplication fact for \(6\times300\) is \(6\times3 = 18\).

Step2: Multiply by 100 (since 300 = 3×100)

\(6\times300=6\times(3\times100)=(6\times3)\times100 = 18\times100 = 1800\).

Problem 10:

Step1: Identify basic fact

The basic multiplication fact for \(8\times4000\) is \(8\times4=32\).

Step2: Multiply by 1000 (since 4000 = 4×1000)

\(8\times4000=8\times(4\times1000)=(8\times4)\times1000=32\times1000 = 32000\).

Answer:

• Problem 6:

Basic fact: \(4\times6 = 24\)
\(4\times60=\boldsymbol{240}\)

• Problem 8:

Basic fact: \(6\times3 = 18\)
\(6\times300=\boldsymbol{1800}\)

• Problem 10:

Basic fact: \(8\times4 = 32\)
\(8\times4000=\boldsymbol{32000}\)