Math

QuestionComplete the statements on place value: a. 10 times 1 hundred is \_\_\_\_\_\_\_\_\_\_\_. b. 10 times hundreds is 60 hundreds or \_\_\_\_\_\_\_\_\_\_\_. c. 8 hundreds is \_\_\_\_\_\_\_\_\_\_\_. d. Hundreds is the same as \_\_\_\_\_\_\_\_\_\_\_.

Studdy Solution

STEP 1

Assumptions1. We are dealing with place values in the decimal number system. . The place values increase by a factor of10 as we move from right to left.
3. The place values are ones, tens, hundreds, thousands, and so on.

STEP 2

For statement a, we are asked to find10 times as many as1 hundred. In the decimal number system, multiplying by10 shifts the place value one place to the left. Therefore,10 times1 hundred is1 thousand.
10times1hundred=1thousand10 \\times1\, hundred =1\, thousand

STEP 3

For statement b, we are asked to find10 times as many as hundreds. The statement is incomplete as the number of hundreds is not specified. However, we are given that10 times as many as hundreds is60 hundreds. Therefore, we can set up the equation10timesxhundreds=60hundreds10 \\times x\, hundreds =60\, hundreds

STEP 4

olving the equation from3 for x gives us the number of hundreds.
x=60hundreds/10=6hundredsx =60\, hundreds /10 =6\, hundreds

STEP 5

For statement c, we are asked to find the value that is the same as8 hundreds. In the decimal number system, multiplying by10 shifts the place value one place to the left. Therefore,10 times8 hundreds is8 thousands.
10times8hundreds=80hundreds=8thousands10 \\times8\, hundreds =80\, hundreds =8\, thousands

STEP 6

For statement d, we are asked to find the value in hundreds that is the same as4 thousands. In the decimal number system, dividing by10 shifts the place value one place to the right. Therefore,4 thousands is the same as40 hundreds.
4thousands=40hundreds4\, thousands =40\, hundreds

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