Math / Numbers & Operations

QuestionActual: 8.74
18. The problem already has the answer. Select the correct sign of the result. Choose the correct decimal by either using estimation or counting decimal places. $(-1.3) \cdot(-0.05)=+-0065$ $\square$ $\qquad$

Studdy Solution

STEP 1

What is this asking? We're multiplying two negative decimals and need to find the correct sign and value of the result. Watch out! Don't forget the rules for multiplying negative numbers!
Also, be careful with where you put that decimal point.

STEP 2

1. Determine the sign.
2. Estimate the value.
3. Calculate the precise value.

STEP 3

When multiplying two numbers with the same sign, the result is positive.
Since we're multiplying $(-1.3)$ and $(-0.05)$ , both of which are negative, our answer will be positive!

STEP 4

Let's round $(-1.3)$ to $(-1)$ and $(-0.05)$ to $(-0.1)$ .
Multiplying these rounded values gives us $(-1) \cdot (-0.1) = 0.1$ .
This tells us our answer should be somewhere around 0.1.

STEP 5

Let's ignore the signs for now and just multiply $1.3$ by $0.05$ .
We can set this up like so: $\begin{array}{cccc} & & 1 & 3 \\ & \times & 0 & 05 \\ & & 0 & 65 \\ \end{array}$

STEP 6

Now, let's figure out where the decimal point goes.
In $1.3$ , the decimal is one place from the right.
In $0.05$ , it's two places from the right.
Adding those together gives us three places.
So, our result is $0.065$ .

STEP 7

Remember from earlier, multiplying two negatives makes a positive, so our final answer is $0.065$ .

STEP 8

The correct answer is $+0.065$ .

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QuestionActual: 8.74
18. The problem already has the answer. Select the correct sign of the result. Choose the correct decimal by either using estimation or counting decimal places. $(-1.3) \cdot(-0.05)=+-0065$ $\square$ $\qquad$

Studdy Solution

STEP 1

What is this asking? We're multiplying two negative decimals and need to find the correct sign and value of the result. Watch out! Don't forget the rules for multiplying negative numbers!
Also, be careful with where you put that decimal point.

STEP 2

1. Determine the sign.
2. Estimate the value.
3. Calculate the precise value.

STEP 3

When multiplying two numbers with the same sign, the result is positive.
Since we're multiplying $(-1.3)$ and $(-0.05)$ , both of which are negative, our answer will be positive!

STEP 4

Let's round $(-1.3)$ to $(-1)$ and $(-0.05)$ to $(-0.1)$ .
Multiplying these rounded values gives us $(-1) \cdot (-0.1) = 0.1$ .
This tells us our answer should be somewhere around 0.1.

STEP 5

Let's ignore the signs for now and just multiply $1.3$ by $0.05$ .
We can set this up like so: $\begin{array}{cccc} & & 1 & 3 \\ & \times & 0 & 05 \\ & & 0 & 65 \\ \end{array}$

STEP 6

Now, let's figure out where the decimal point goes.
In $1.3$ , the decimal is one place from the right.
In $0.05$ , it's two places from the right.
Adding those together gives us three places.
So, our result is $0.065$ .

STEP 7

Remember from earlier, multiplying two negatives makes a positive, so our final answer is $0.065$ .

STEP 8

The correct answer is $+0.065$ .

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QuestionActual: 8.7418. The problem already has the answer. Select the correct sign of the result. Choose the correct decimal by either using estimation or counting decimal places. (−1.3)⋅(−0.05)=+−0065(-1.3) \cdot(-0.05)=+-0065(−1.3)⋅(−0.05)=+−0065 □\square□ \qquad

Studdy Solution

STEP 1

What is this asking? We're multiplying two negative decimals and need to find the correct sign and value of the result. Watch out! Don't forget the rules for multiplying negative numbers!Also, be careful with where you put that decimal point.

STEP 2

1. Determine the sign.2. Estimate the value.3. Calculate the precise value.

STEP 3

When multiplying two numbers with the **same** sign, the result is **positive**.Since we're multiplying (−1.3)(-1.3)(−1.3) and (−0.05)(-0.05)(−0.05), both of which are negative, our answer will be **positive**!

STEP 4

Let's round (−1.3)(-1.3)(−1.3) to (−1)(-1)(−1) and (−0.05)(-0.05)(−0.05) to (−0.1)(-0.1)(−0.1).Multiplying these rounded values gives us (−1)⋅(−0.1)=0.1(-1) \cdot (-0.1) = 0.1(−1)⋅(−0.1)=0.1.This tells us our answer should be somewhere around **0.1**.

STEP 5

Let's **ignore** the signs for now and just multiply 1.31.31.3 by 0.050.050.05.We can set this up like so: 13×005065\begin{array}{cccc} & & 1 & 3 \\ & \times & 0 & 05 \\ & & 0 & 65 \\ \end{array}​×​100​30565​

STEP 6

Now, let's figure out where the decimal point goes.In 1.31.31.3, the decimal is **one** place from the right.In 0.050.050.05, it's **two** places from the right.Adding those together gives us **three** places.So, our result is 0.0650.0650.065.

STEP 7

Remember from earlier, multiplying two negatives makes a **positive**, so our **final answer** is 0.0650.0650.065.

STEP 8

The correct answer is +0.065+0.065+0.065.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionActual: 8.74
18. The problem already has the answer. Select the correct sign of the result. Choose the correct decimal by either using estimation or counting decimal places. $(-1.3) \cdot(-0.05)=+-0065$ $\square$ $\qquad$

What is this asking? We're multiplying two negative decimals and need to find the correct sign and value of the result. Watch out! Don't forget the rules for multiplying negative numbers!
Also, be careful with where you put that decimal point.

1. Determine the sign.
2. Estimate the value.
3. Calculate the precise value.

When multiplying two numbers with the same sign, the result is positive.
Since we're multiplying $(-1.3)$ and $(-0.05)$ , both of which are negative, our answer will be positive!

Let's round $(-1.3)$ to $(-1)$ and $(-0.05)$ to $(-0.1)$ .
Multiplying these rounded values gives us $(-1) \cdot (-0.1) = 0.1$ .
This tells us our answer should be somewhere around 0.1.

Let's ignore the signs for now and just multiply $1.3$ by $0.05$ .
We can set this up like so: $\begin{array}{cccc} & & 1 & 3 \\ & \times & 0 & 05 \\ & & 0 & 65 \\ \end{array}$

Now, let's figure out where the decimal point goes.
In $1.3$ , the decimal is one place from the right.
In $0.05$ , it's two places from the right.
Adding those together gives us three places.
So, our result is $0.065$ .

Remember from earlier, multiplying two negatives makes a positive, so our final answer is $0.065$ .

The correct answer is $+0.065$ .