Science Test class 10
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Exponents
EXPONENTS Exponents - An exponent refers to a number that how many times to use the number in a mathematical operation like multiplication, division etc. Exponents is also termed as power. Power - An expression that represents repeated multiplication of the same number is called a power. Special cases when the exponent is 0 or 1 :- Case 1. When the power is 0 a^0 = 1 67^0 = 1 Case 2. When the power is 1 a^1 = a 9^1 = 9 Laws of Exponents The following identities hold for all integer exponents :- Practice Questions:- 1.Find out the value of (2/5) 3 ? 2.What is the power of a number when squared? 3. Simplify: (3/2) 2 + (2/3) 2 + (5/4) 2 4. If 4 x = 64, then 3 2x = ? 5. Divide x 5 by x 2 Thank you for visiting Keep sharing Join us now :- Instagram
Percentage
Percentage - According to mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted by using the percent sign, "%" . Percentage formula - Percentage = (Obtained marks/Total marks)×100 Example :- 3/5 ×100 = 0.60×100 = 60% = 60percent About Percentage - 1. 10% is equal to 1/10 fraction 2. 20% is equivalent to ⅕ fraction 3. 25% is equivalent to ¼ fraction 4. 50% is equivalent to ½ fraction 5. 75% is equivalent to ¾ fraction 6. 90% is equivalent to 9/10 fraction Points to remember :- 1. A percentage is a dimensionless number, it has no unit of measurement. Practice Questions - Q1. Convert as a fraction and as a decimal : 40% Q2. Express the ratio 4:5 as a percentage. Q3. Find 30% of ₹800. Q4. If 10% of a number is 45, then find the number? Thank you for visiting Keep sharing Join us now :- Instagram
Simple interest
Simple interest - Simple interest is interest calculated on the principal portion of a loan to a savings account.