Multiplying multiples of ten means taking numbers like 10, 20, 30, 40, 100, etc., and multiplying them together. Place value helps us understand how many zeros to include in the product.
Multiples of ten always end in a zero. This makes them easier to multiply by using place value strategies.
A number is a multiple of ten if it ends with a zero in the ones place.
Think of multiples of ten as groups of tens. For example, 30 means 3 groups of 10.
To multiply multiples of ten, use place value to break the problem into two parts: multiply the basic digits, then add the zeros back.
This method works because of place value. The zeros show that the digits are shifted to the tens or hundreds place.
Basic multiplication facts (like 6 × 7 = 42) can help solve larger problems with multiples of ten.
Think of the zero as a clue to multiply by ten, one hundred, or more. This connects facts you already know to bigger numbers.
Place value explains why multiplying by ten adds a zero. Each shift to the left makes the number ten times larger.
Every zero in a multiple of ten means the number has shifted one place to the left in value.