1. 7 th Grade Test Prep Number Sense

2. 7.N.17.N.27.N.37.N.17 The Real Number System Real Numbers Rational Numbers Integers Whole Numbers Natural Numbers Irrational Numbers

3. Step 1: Convert all given numbers to decimal numbers with equivalent place value. Step 2: Compare the decimals. Identify the following numbers as rational or irrational. 3.14159… ⅝ π2.45

4. a 2 x a 5 a 2 ÷ a 5 (a 2 ) 5 a -3 a 2 x b 2 a 2 + 5 a7a7 a 2 - 5 a -3 a 2 * 5 a 10 1 / a 2 (a* b) 2 (ab) 2 a0a0 1 a1a1 a

5. Write 4,902,000,000 in scientific notation. Write 0.0000863 in scientific notation. 4.902 × 10 9 8.63 × 10 -5 Write 1.209 × 10 4 in standard form. 12,090 Write 4.65 × 10 -5 in standard form..0000465

6. Order the following, from least to greatest: 1.209 × 10 4 5.79 × 10 3 3.04 × 10 4 4.045 × 10 5 Step 1:Compare the exponents 3 < 4 < 5 The number with the smallest exponent is the least in value. Step 2:Compare the numbers with the same exponents1.209 < 3.04 The smaller number is the least in value. Step 3:Write the numbers in order (least to greatest) 5.79 × 10 3 1.209 × 10 4 3.04 × 10 4 4.045 × 10 5

7. Find the GCF of 125 and 50 Find the LCM of 2 and 9 and 12 25 36 Express the prime factorization of 52 2 × 2 × 13 Express the prime factorization of 90 in exponential form 2 × 3² × 5

8. P E Parentheses – starting with the innermost grouping symbol first. Exponents M, D Multiply and / or divide, from LEFT to RIGHT A, S Add and / or subtract, from LEFT to RIGHT

9. Operation= (+) + = (-) + = (+) + (-) = Subtract; sign of the larger number (+) - = KFC; follow the rules of addition (-) - = KFC; follow the rules of addition (+) - (-) = KFC; follow the rules of addition (+) × OR ÷ (+) = (-) × OR ÷ (-) = (+) × OR ÷ (-) =

10. Is 196 a perfect square? Is 110 a perfect square? Yes; sq root is 14 No; Not a perfect square Find the two consecutive whole numbers between which, the square root of 110 lies. 10 and 11 Estimate the square root of 110 10.5