Question

Jayla multiplies 8.0 by 10^4 and says the product is 8.0000. Is Jayla correct or incorrect? Fill in the blanks to explain. When you multiply by a power of ten, the decimal point moves _____ place(s) to the _____ for every power of ten. In the expression 8.0 x 10^4, the power of ten is ______ To multiply 8.0 X 10^4, the decimal point needs to move _____ place(s) to the _____ The product of 8.0 x 10^4 is ______ Jayla is _____

Answer 1

ANSWER and EXPLANATION

We want to determine if Jayla is correct or wrong in her multiplication.

We want to multiply 8.0 * 10^4.

When you multiply a decimal number by a power of ten, the decimal point moves one place to the right for every power of ten.

In the expression 8.0 X 10^4, the power of ten is 4. To multiply 8.0 X 10^4, the decimal point needs to move 4 places to the right.

The product of 8.0 X 10^4 is therefore 80000.

Jayla is wrong.

$8.0\cdot10^4\text{ = 80000}$