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Friday, May 27, 2022

Scientific Notation and Standard Form for Decimals and Fractions

Writing long numbers can be much shorter when using scientific notation. This Kahn Academy video on scientific notation explains how to covert numbers in standard form to scientific notation. I've created some practice questions, including some decimals and fractions for an extra challenge. This practice test is in adaptive mode, which means you can see the correct answers after answering each question.

Directions

Click on the first graphic to enlarge to full screen.
Write your answers on a sheet of paper.
Click on either the graphic or the next thumbnail to advance to the next screen.

Thanks for visiting my Student Survive 2 Thrive blog! Visit my math page for all of my math resources or feel free to look at additional math practice below:

Scientific Notation and Standard Format for Decimals & Fractions

Created by Katrena - All Rights Reserved

Write the following in scientific notation: 0.00003

0.00003 equals 3 times 10 to the -5 power

Write the following in scientific notation: 0.001234

0.001234 is 1.234 times 10 to the -3 power

Write the following in scientific notation: 0.00000509

0.00000509 is 5.09 times 10 to the -6 power

Write the following in scientific notation: 0.00000010107

0.00000010107 is 1.0107 times 10 to the -7 power

Write the following in scientific notation: 3/4

3/4 = 75% = 0.75 = 7.5 times 10 to the -1 power

Write the following in standard format: 2 times 10 to the -2 power

Write the following in standard format: 773 times 10 to the -8 power

773 times 10 to the -8 power is 0.0000000773

Write the following in standard format: 5.008 times 10 to the -3 power

5.008 times 10 to the -3 power is 0.005008

Write the following in standard format: 1.003 times 10 to the -6 power

1.003 times 10 to the -6 power is 0.000001003

$Write the following in fraction format: 5 times 10 to the -1 power$

5 times 10 to the -1 power is 50% which is 1/2

Find additional resources at StudentSurvive2Thrive.blogspot.com

Scientific Notation and Standard Form

Scientific notation can make it much easier to write long numbers. This Kahn Academy video on scientific notation explains how to covert numbers in standard form to scientific notation. I've created some practice questions with all whole numbers below. This practice test is in adaptive mode in which you can see the correct answers after answering each question.

Directions

Click on the first graphic to enlarge to full screen.
Write your answers on a sheet of paper.
Click on either the graphic or the next thumbnail to advance to the next screen.

Thanks for visiting my Student Survive 2 Thrive blog! Visit my math page for all of my math resources or feel free to look at additional math practice below:

Convert the following number into scientific notation: 3,000,000

3 times 10 to the 6th power is 3,000,000 in scientific notation

Convert the following number into scientific notation: 56,000,000,000

5.6 times 10 to the 10th power is 56,000,000,000 in scientific notation

Convert 876,000 into scientific notation

8.76 times to to the fifth power is 876,000 in scientific notation

Convert the following number into scientific notation: 9,360,400,000

9,360,400,000 is 9.3604 time 10 to the ninth power in scientific notation

Convert the following number into scientific notation: 650,327,000,000,000

650,327,000,000,000 is 6.50327 time 10 to the 14th power in scientific notation

Convert the following into standard form: 9 times 10 to the 7th power

9 time 10 to the 7th power is 90,000,000 in standard form

Convert the following number into standard form: 2.83 times 10 to the 8th power

2.83 times 10 to the 8th power is 283,000,000 in standard form

Convert the following number into standard form: 7.3 times 10 to the 4th power

7.3 times 10 to the 4th power is 73,000 in standard form

Convert the following number into standard form: 3.001 times 10 to the 5th power

3.001 times 10 to the 5th power is 300,100 in standard form

Convert the following number into standard form: 7.42109 times 10 to the 15th power

7.42109 times 10 to the 15th power is 7,421,090,000,000,000 in standard form

Find more great resources at StudentSurvive2Thrive.blogspot.com