Questions to Consider

Key Concepts
Multiplying by Powers of Ten
Students understand why multiplying by a power of 10 shifts the digits of a whole number or decimal that many places to the left.
Multiplying by 10 once shifts every digit of the multiplicand one place to the left in the product (the product is ten times as large) because in the baseten system the value of each place is 10 times the value of the place to its right.
Multiplying by Powers of Ten
Students understand why multiplying by a power of 10 shifts the digits of a whole number or decimal that many places to the left.
Multiplying by 10 once shifts every digit of the multiplicand one place to the left in the product (the product is ten times as large) because in the baseten system the value of each place is 10 times the value of the place to its right.
Dividing by Powers of Ten
Students should understand why dividing by a power of 10 shifts the digits of a whole number or decimal that many places to the right.
Dividing by 10 once shifts every digit of the dividend one place to the right in the the quotient because in the baseten system the value of each place is 10 times the value of the place to its left.
Students should understand why dividing by a power of 10 shifts the digits of a whole number or decimal that many places to the right.
Dividing by 10 once shifts every digit of the dividend one place to the right in the the quotient because in the baseten system the value of each place is 10 times the value of the place to its left.