Mastering Math Skills: Rearranging Equations, Percent Calculations, and Unit Conversions
This comprehensive guide helps students grasp essential math concepts, including rearranging equations, calculating percentages, and converting units. Through practical examples, such as finding the percentage of boys in a school population and converting between metric units, learners will enhance their problem-solving skills. The guide also covers scientific notation, teaching how to express large numbers succinctly using coefficients and exponents. Perfect for homework practice, this resource provides a fun and engaging way to improve mathematical understanding.
Mastering Math Skills: Rearranging Equations, Percent Calculations, and Unit Conversions
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Presentation Transcript
REARRANGING EQUATIONS • Example: • What is m? • What is v?
CALCULATING PERCENT EX: There are 350 girls and 150 boys in a school. Calculate the percent of boys in the school • Total number of students: 350+ 150 = 500 • % boys = number of boys x 100 total number of students = 150 x 100 = 30% 500 Thus, the % of boys is 30%
UNIT CONVERSIONS King Henry’s Daughter Must Drink Chocolate Milk!
UNIT CONVERSIONS • To convert from a LARGER to smaller metric unit you always Multiply • To convert from a smaller to LARGER unit you always Divide
CONVENSIONS • Kilo km, kg, kl • Hecto hm, hg, hl • Deca/Deka dam, dag, dal • Metre, Gram, Litre m, g, l • Deci dm, dg, dl • Centi cm, cg, cl • Milli mm, mg, ml
UNIT CONVERSIONS • Ex: Convert the following: • A) 2 l to ml • 2000 ml • B) 2 kg to g • 2000 g • C) 30 cm to km • 0.0003 km • D) 12 hm to cm • 120000 cm
SCIENTIFIC NOTATION • a shorter method to express very large numbers. • Scientific Notation is based on powers of the base number 10 • The number 123,000,000,000 in scientific notation is written as
Exponent • The first number is called the coefficient (1.23) • It must be greater than or equal to 1 and less than 10. • The second number is called the base . It must always be 10 in scientific notation. Coefficient Base
TO WRITE A NUMBER IN SCIENTIFIC NOTATION • Ex: Put 123,000,000,000 in SN • Put the decimal in between the first two NON-Zero numbers • The coefficient is 1.23
TO WRITE A NUMBER IN SCIENTIFIC NOTATION cont…d • To find the exponent count the number of places that the decimal has moved. • If the decimal moves to the right, the exponent is negative • If the decimal moves to the left, the exponent is positive
TO WRITE A NUMBER IN SCIENTIFIC NOTATION cont…d • In 1 2 3 0 0 0 0 0 0 0 0 0there are 11 places. • Therefore we write 123,000,000,000 as:
HOMEWORK • Math Practice Sheet
