QuestionConvert $1.5$ to standard form.

Studdy Solution

STEP 1

Assumptions1. The number given is $1.5$ . We need to express this number in standard form

STEP 2

Standard form (also known as scientific notation) is a way of writing numbers that are too big or too small to be conveniently written in decimal form. It is commonly used by scientists, mathematicians, and engineers. The format for writing a number in standard form is $a \times10^n$ , where $1 \leq |a| <10$ and $n$ is an integer.

STEP 3

In this case, the number $1.5$ is already between $1$ and $10$ , so $a =1.5$ .

STEP 4

Since $1.$ is a whole number and does not need to be scaled by any power of $10$ , $n =0$ .

STEP 5

Substitute $a$ and $n$ into the standard form.
$a \times10^n =1.5 \times10^0$

STEP 6

Calculate the value.
$1.5 \times10^0 =1.5$ So, $1.5$ in standard form is $1.5 \times10^0$ .

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QuestionConvert $1.5$ to standard form.

Studdy Solution

STEP 1

Assumptions1. The number given is $1.5$ . We need to express this number in standard form

STEP 2

STEP 3

In this case, the number $1.5$ is already between $1$ and $10$ , so $a =1.5$ .

STEP 4

Since $1.$ is a whole number and does not need to be scaled by any power of $10$ , $n =0$ .

STEP 5

Substitute $a$ and $n$ into the standard form.
$a \times10^n =1.5 \times10^0$

STEP 6

Calculate the value.
$1.5 \times10^0 =1.5$ So, $1.5$ in standard form is $1.5 \times10^0$ .

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QuestionConvert 1.51.51.5 to standard form.

Studdy Solution

STEP 1

Assumptions1. The number given is 1.51.51.5 . We need to express this number in standard form

STEP 2

STEP 3

In this case, the number 1.51.51.5 is already between 111 and 101010, so a=1.5a =1.5a=1.5.

STEP 4

Since 1.1.1. is a whole number and does not need to be scaled by any power of 101010, n=0n =0n=0.

STEP 5

Substitute aaa and nnn into the standard form.a×10n=1.5×100a \times10^n =1.5 \times10^0a×10n=1.5×100

STEP 6

Calculate the value.1.5×100=1.51.5 \times10^0 =1.51.5×100=1.5So, 1.51.51.5 in standard form is 1.5×1001.5 \times10^01.5×100.

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QuestionConvert $1.5$ to standard form.

Assumptions1. The number given is $1.5$ . We need to express this number in standard form

In this case, the number $1.5$ is already between $1$ and $10$ , so $a =1.5$ .

Since $1.$ is a whole number and does not need to be scaled by any power of $10$ , $n =0$ .

Substitute $a$ and $n$ into the standard form.
$a \times10^n =1.5 \times10^0$

Calculate the value.
$1.5 \times10^0 =1.5$ So, $1.5$ in standard form is $1.5 \times10^0$ .