Reading Math
Reading math in scientific notation means correctly vocalizing expressions like 9.461 times 10 to the 12th as 'nine point four six one times ten to the twelfth.' Knowing how to read these expressions aloud and interpret them correctly — both in spoken and written form — is essential for scientific communication and prevents confusion between numbers like 10 to the 5 and 10 to the negative 5. This Grade 7 math skill from Saxon Math, Course 2 builds scientific vocabulary and numeracy for reading textbooks, lab reports, and technical documents.
Key Concepts
Property Read the number $9.461 \times 10^{12}$ as 'Nine point four six one times ten to the twelfth.'.
Examples The number $4.25 \times 10^5$ is read as 'Four point two five times ten to the fifth.' The number $7.0 \times 10^9$ is read as 'Seven point zero times ten to the ninth.' The number $2.987 \times 10^3$ is read as 'Two point nine eight seven times ten to the third.'.
Explanation Don't let the symbols trick you! Just read the decimal part as you normally would, then say 'times ten to the,' and finish with the exponent's power. It sounds super scientific, but it’s actually just a straightforward way to say a number. You are just giving verbal instructions on how the number is built.
Common Questions
How do I read a number in scientific notation aloud?
Read the decimal number first, then say 'times ten to the' followed by the exponent. For example, 4.25 times 10 to the 5 is read as 'four point two five times ten to the fifth.'
What is the correct way to read 7.0 times 10 to the 9?
Read it as 'seven point zero times ten to the ninth.' Always read both parts: the decimal coefficient and the power of ten.
Why is it important to read scientific notation correctly?
Clear verbal communication of large and small numbers is essential in science, engineering, and math. Mispronouncing an exponent can cause confusion between numbers that differ by many powers of ten.
How do I read a negative exponent in scientific notation?
Say 'times ten to the negative' followed by the exponent. For example, 3.0 times 10 to the -6 is read as 'three point zero times ten to the negative sixth.'
When do students learn to read scientific notation?
Reading and interpreting scientific notation is a Grade 7-8 skill. Saxon Math, Course 2 covers it in Chapter 9 alongside converting between scientific and standard notation.
What is scientific notation used for?
Scientists use scientific notation to express very large numbers (like the speed of light at 3.0 times 10 to the 8 m/s) or very small numbers (like the size of an atom at about 1.0 times 10 to the -10 meters) concisely.
How does reading scientific notation connect to understanding the numbers?
Properly reading the notation reinforces understanding: 'ten to the fifth' means 100,000, so the number is 4.25 times 100,000 = 425,000. Correct reading prevents treating the exponent as a multiplier rather than a power.