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Grade 8 Math PRACTICE Unit Test 1 Number Sense Answers 1 1. State the place value of the digit 8 in each number. a) 78 ones b) 183 210 ten thousands c) 58 154 021 millions 2. Write the following number in words, the correct way that you would say it. 65 097 Sixty-five thousand ninety seven 3. Convert the following number a) from normal expanded form to expanded form with powers of 10. (4 x 100 000) + (3 x 1000) + (8 x 100) + (2 x 1) = (4 x 105)+(3x103)+(8x102)+ (2x100) b) Then to standard form (as a regular number): = (400 000)+(3000)+(800)+(2) = 403 802 4. Convert the following number from standard form to expanded form. 56 042 =(5x10 000)+(6x1000)+ (0x100) +(4x10)+(2x1) 5. In the power 103 a) Which number is the base? 10 b) Which number is the exponent? 3 c) Write this number as multiples of the base (number x number x number…) = 10 x 10 x 10 d) Write this number in standard form. = 1000 6. Write the following number in expanded form with powers of 10. 4 126 =(4x1000)+(1x100)+(2x10)+ (6x1) =(4x10 )+(1x10 )+(2x10 )+ (6x100) 3 2 1 7. Put the following number in scientific notation. 25 000 000 = 2.5 x 107 8. Draw the factor tree for the number: 16 Put your final answer in powers of primes if possible. 9. 16 OR 16 =2x8 =4x4 =2x2x4 =2x2x4 =2x2x2x2 =2x2x2x2 = 24 = 24 Same answer, either way ok 10. Solve the following: (32 -2) x 4 = (3 x 3 – 2) x 4 = (9 - 2) x 4 = (7) x 4 =28 Multiple Choice: 11. The correct way to write the number 326 000 in scientific notation is: C a) 326 b) 326 x 10 x 10 x 10 c) 3.26 x 105 d) 3 x 2 x 6 12. Another way to say: 73 is a a) seven cubed b) seven squared c) seven times three d) seventy three 13. Which of the following numbers is a prime number? d a) 4 b) 6 c) 10 d) 7 14. Write the correct order of operations (i.e. division, addition…) when solving a multistep math question. 1. Brackets 2. Exponents 3. Division 4. Multiplication 5. Addition 6. Subtraction