Standard:
MGSE5.NBT.2
Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the
placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
Activities:
PATTERNS TASK
This Week's Notes:
RULE: To multiply a WHOLE NUMBER by a power of 10 (10, 100, 1000, 10,000) count the number of zeros in the power of 10 and then put them behind the whole number.
88 x 10 = 880
99 x 100 = 9900
RULE: To multiply a DECIMAL by a power of 10 (10, 100, 1000, 10,000) move the decimal to the right the same amount of zeros in the power of 10. The product will be a larger value.
8.8 x 10 = 88
9.9 x 100 = 990
RULE 1: To DIVIDE a DECIMAL by a power of 10 (10, 100, 1000, 10,000) move the decimal to the LEFT the same amount of zeros in the power of 10. The quotient will be a smaller value.
9.9 ÷ 102 = 0.099
88 ÷ 10 = 8.8
RULE 2: If there is no decimal point for you to move, FIRST put the decimal point after the ONES PLACE. Then move the decimal the same amount of zeros.
12 ÷ 100
12. ←
12. ÷ 100 = .12 or 0.12
1,598 ÷ 100
1,598. ←
1,598. ÷ 100 = 15.98
Notice the patterns above. The exponent shows how many zeros after the 1 (1000). The exponent also says how many tens to multiply (10 x 10 x 10)
Vocabulary