suareza36
Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

express the missing divisor using a power of 10. Explain your reasoning using a place value model.

a. 5.2 ÷ ___ =0.052    b. 7,650÷__ =7.65

Sagot :

a:  5.2 / 100 = .052  the reason for this is the 5 goes from the ones place to the hundredths place
b:  7,650 / 1000 = .7.65 this is because the decimal jumps 3 spots to the left

Answer:

[tex]a) 10^{2}\\b)~ 10^{3}[/tex]

Step-by-step explanation:

We are given the following information.

We have to complete the division problem by filling in the right powers of 10.

We know that:

Negative exponential powers:

Any number raised to negative power can be written as:

[tex]x^{-a} = \displaystyle\frac{1}{x^a}\\\\10^{-2} = \frac{1}{10^2} = \frac{1}{100}[/tex]

Division by powers of 10:

  • Move the decimal point to the left as many places as there are zeros in the factor we are dividing the number.
  • Move the decimal point one step to the left when dividing by 10.
  • Move the decimal point two steps to the left when dividing by 100 and so on.

Solving can be done in the following manner:

[tex]a)~5.2 \div 10^{2} = 0.052\\\\= 5.2\times \displaystyle\frac{1}{100} = \frac{5.2}{100} = 0.052\\\\b)~7650 \div 10^{3} = 7.650\\\\= 7650\times \displaystyle\frac{1}{1000} = \frac{7650}{1000} = 7.65[/tex]

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.