Schimmel Algebra Patterns in Decimal Factors Products Quotients
Schimmel Algebra: Patterns in Decimal Factors, Products & Quotients
MCC 5. NBT. 2 – Explain patterns in the number of zeros of the product when multiplying a number by powers of ten, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10.
Essential Question: How are the quotients affected when dividing decimals by powers of 10?
When you divide a decimal number by 10, 100, or 1, 000, move the decimal point to the left because the quotient will be less than the dividend. Example #1 0. 98 ÷ 1 = 0. 98 ÷ 10 = 0. 098 When you divide a decimal number by 0. 1 and 0. 01 move the decimal point to the right because the greater will be greater than the dividend. Example #1 24. 5 ÷ 1 = 24. 5 ÷ 0. 1 = 245 0. 98 ÷ 100 = 0. 0098 24. 5 ÷ 0. 01 = 2, 450 0. 98 ÷ 1, 000 = 0. 00098 24. 5 ÷ 0. 001 = 24, 500
When you divide a decimal number by 10, 100, or 1, 000, move the decimal point to the left because the quotient will be less than the dividend. Example #2 0. 478 ÷ 1 = 0. 478 When you divide a decimal number by 0. 1 and 0. 01 move the decimal point to the right because the greater will be greater than the dividend. Example #2 0. 4 ÷ 1 = 0. 478 ÷ 10 = 0. 478 0. 4 ÷ 0. 1 = 4 0. 478 ÷ 100 = 0. 00478 0. 4 ÷ 0. 01 = 40 0. 4 ÷ 0. 001 = 400 0. 478 ÷ 1, 000 = 0. 000478
Guided Practice
2. 845 ÷ 1 = 2. 845 ÷ 10 = 0. 2845 2. 845 ÷ 100 = _______ 2. 845 ÷ 1, 000 = 0. 002845
Your Turn
- Slides: 20
